A steel bar of thickness h is welded to a vertical support as shown in the figure. The dimensions for the parameters in the figure are given below. . b = 70 mm c = 170 mm d = 70mm h = 5 mm Find the safe force F (in kN) if the maximum allowable shear stress in the welds is 140 MPa A. 132.9 B. 72.8 C. 29.8 D. 25.3

The Wheatstone bridge operates in a null mode that is detected by a galvanometer. The galvanometer's sensitivity is an essential parameter.

Strain gauge resistance change: ΔRgauge = 0.1 Ω

Gauge resistance: RGauge = R2 = R3 = R4 = 120 Ω

Gauge factor: GF = 2.05 ± 1% (95% confidence interval)

Using the formula:

GF = ΔRgauge / RGauge * (ΔL / L)

Substituting the values:

ΔRgauge / RGauge = 0.1 / 120 = 0.00083

The gauge factor's 95% confidence interval is 0.0203 < GF < 0.0207.

To estimate the strain:

∆x / x = (∆Rgauge / RGauge) / GF = 0.00083 / 0.0205 = 0.0405 = 4.05%

Hence, the measured strain is estimated to be 4.05%.

To estimate the uncertainty in the measured strain due to uncertainties in the bridge resistances and gauge factor, use the formula:

∆x / x = [(∆R2 / R2) + (∆R3 / R3) + (∆Rgauge / RGauge) + (∆GF / GF)]

Assuming a 1% uncertainty for each resistance and the gauge factor:

∆x / x = [(0.01 / 120) + (0.01 / 120) + (0.01 / 120) + (0.01 / 2.05)] = 0.0898 = 8.98%

Therefore, the uncertainty in the measured strain due to uncertainties in the bridge resistances and gauge factor is estimated to be 8.98%.

Learn more about Uncertainty gauge factor:

https://brainly.com/question/30464076

#SPJ11

The number of 1/2-inch holes that can be punched in one stroke in a steel plate made of SAE 1010 steel, 3/16- inch thick using a force of 40 tons is one.

Given:

Force (F) = 40 tons

Shear strength = 50 ksi

Thickness of plate (t) = 3/16 inch

The ultimate shear strength is given by, S = F/A

where S is the shear strength of the material,

F is the force applied to the material and

A is the area of the sheared surface area of the material.

We can rearrange this equation to find A:

A = F/S

Substituting the given values,

F = 40 tons

= 80000 pounds

S = 50 ksi

A = (80000/50) sq.in

  = 1600 sq.in

Now, the area of each hole can be found using the formula for the area of a circle:

A = πr²

We can rearrange this equation to find r:

r = √(A/π)

Substituting the values for the area and diameter,d = 1/2 inch

Therefore, the radius of each hole is:r = 1/4 inch

We can now find the area of each hole using the above equation for the area of a circle:

A = πr²

= π(1/4)²

= π/16 sq.in

The number of holes that can be punched in one stroke can be found by dividing the area of the steel plate by the area of each hole:

N = (Area of steel plate) / (Area of each hole)

N = (3/16 sq.in) / (π/16 sq.in)

  = 3/π

  ≈ 0.955 rounds off to 1

Hence, only one hole can be punched in one stroke. So, the answer is 1.

To know more about diameter, visit:

https://brainly.com/question/33294089

#SPJ11

Without specific values and calculations, it is not possible to construct an accurate T-S diagram for comparison.

1. T-S Diagram:

On a T-S (temperature-entropy) diagram, the Rankine cycle is represented by various processes.

The following steps describe the cycle:

a) Process 1-2: Isentropic expansion in the high-pressure turbine (HPT).

b) Process 2-3: Constant-pressure heat addition in the boiler.

c) Process 3-4: Isentropic expansion in the low-pressure turbine (LPT).

d) Process 4-1: Constant-pressure heat rejection in the condenser.

The cycle should be drawn on the T-S diagram with respect to the saturation lines to determine the quality of steam at different stages of the cycle.

2. Mass Flow Rate of Steam:

To determine the mass flow rate of steam (ṁ), we can use the equation:

[tex]m=W_{net}/(h_1-h_2)[/tex]

Given that the net power output ([tex]W_{net[/tex]) is 100 MW and the specific enthalpies at the turbine inlet (h₁) and outlet (h₂) are required.

3. Thermal Efficiency of the Rankine Cycle:

The thermal efficiency of the Rankine cycle (η_rankine) can be calculated using the equation:

η_rankine = [tex]W_{net} / Q_{in[/tex]

where [tex]Q_{in[/tex] is the heat input.

4. Thermal Efficiency of the Equivalent Carnot Cycle:

The thermal efficiency of the Carnot cycle (η_carnot) can be calculated using the equation:

η_carnot = 1 - [tex]T_{low} / T_{high[/tex]

where [tex]T_{low[/tex] is the temperature at the condenser (in Kelvin) and [tex]T_{high[/tex] is the temperature at the boiler (in Kelvin).

5. Thermal Efficiency of the Ideal Cycle:

In the ideal cycle, both compression and expansion processes are assumed to be isentropic. The thermal efficiency of the ideal cycle (η_ideal) can be calculated using the equation:

η_ideal = 1 - (1 / (r^(γ-1)))

where r is the pressure ratio (p_high / p_low) and γ is the specific heat ratio.

Part 2:

In a power-generating plant, superheated steam is preferred over saturated steam due to the following reasons:

a) Increased Efficiency: Superheated steam has higher enthalpy, which allows for more work output in the turbine. This results in increased cycle efficiency compared to saturated steam.

b) Reduced Moisture Damage: Superheating steam eliminates moisture content, preventing erosion and corrosion in the turbine blades and other components. Moisture in saturated steam can cause damage to turbine blades and reduce their lifespan.

c) Control over Temperature: Superheated steam allows for precise control of the temperature at the turbine inlet. This control is important for optimizing the performance of the turbine and other equipment in the power plant.

d) Enhanced Heat Transfer: Superheated steam offers better heat transfer characteristics compared to saturated steam, which can improve the overall efficiency of the plant.

Providing a T-S diagram to show the difference in the amount of W_net in the cycle would require specific values and calculations. However, in general, the work output (W_net) in the cycle would be higher for the superheated steam compared to saturated steam due to the increased enthalpy.

Part 3:

The Rankine cycle is preferred over the Carnot cycle in steam power plants for the following reasons:

a) Practicality: The Carnot cycle is an idealized cycle that assumes reversible processes, which are difficult to achieve in real-world applications. The Rankine cycle, on the other hand, is a more practical approximation of the thermodynamic processes involved in steam power plants.

b) Flexibility: The Rankine cycle allows for variations in pressure, temperature, and other parameters,

which can be adjusted to suit the specific needs of a power plant. This flexibility makes it more adaptable to different conditions and requirements.

c) Realistic Representation: The Rankine cycle takes into account practical considerations such as irreversibilities, heat losses, and component inefficiencies, providing a more realistic representation of the actual performance of steam power plants.

A T-S diagram comparing the Rankine cycle and the Carnot cycle would show the difference in the area enclosed by the cycles, indicating the efficiency difference between them. However, without specific values and calculations, it is not possible to construct an accurate T-S diagram for comparison.

To know more about Thermal Efficiency, visit:

https://brainly.com/question/12950772

#SPJ11

The answer is option d) Approved

The term that fills the blank is "Approved." It is an essential aspect that only approved wiring methods are included in the code. The National Electrical Code, also known as the NEC, is an industry-standard safety code for the installation and maintenance of electrical wiring and equipment in the United States. In other words, the NEC outlines the minimum safety criteria for installing electrical wiring and equipment.

The NEC has a long history, with its first version released in 1897. Its most recent version is the 2020 edition, which establishes electrical safety requirements in all aspects of the electrical installation process, including wiring methods, electrical conductors, cables, raceways, enclosures, and equipment.

As per the NEC, only the wiring methods that are recognized as "approved" are included in the code. All other wiring methods are not permitted unless they have been specifically permitted through an exception or a rule. Wiring methods, which include all the materials and techniques used to route and secure wiring, are governed by the NEC. Thus, only approved wiring methods are included in the code.

Learn more about wiring methods:

https://brainly.com/question/33461734

#SPJ11

The spectrum of the DSB-SC signal 2m(t)cos(4000πt) for message signals

(a) m(t) = sinc²(100πt - 50π) and

(b) m(t) = 40/(t² - 4t + 20) will have rectangular pulses centered at

f = ±4000 Hz for message signal

(a) and sine functions centered at f = ±4000 Hz for message signal

(b), each with different shapes determined by the Fourier transform of the respective message signal.

To determine and sketch the spectrum of the DSB-SC signal 2m(t)cos(4000πt), we need to find the spectrum of the message signals

(a) m(t) = sinc²(100πt - 50π) and

(b) m(t) = 40/(t² - 4t + 20).

For both message signals, we will follow these steps:

1. Determine the Fourier transform of the message signal.
2. Express the Fourier transform in terms of frequency.
3. Multiply the Fourier transform by the Fourier transform of the carrier signal, which is a cosine function.
4. Sketch the spectrum by plotting the frequency components.

(a) m(t) = sinc²(100πt - 50π):
The Fourier transform of sinc²(t) is a rectangular pulse centered at f = 0 with a width of 2π. Therefore, the Fourier transform of sinc²(100πt - 50π) will also be a rectangular pulse centered at f = 0 with a width of 2π.

Now, multiply the Fourier transform of m(t) by the Fourier transform of the carrier signal cos(4000πt).

Explanation:
The Fourier transform of cos(4000πt) is a pair of delta functions at f = ±4000 Hz.

Multiplying the Fourier transform of m(t) with the Fourier transform of the carrier signal results in shifting the rectangular pulse to frequencies ±4000 Hz.

Therefore, the spectrum of the DSB-SC signal 2m(t)cos(4000πt) for message signal (a) m(t) = sinc²(100πt - 50π) will have two rectangular pulses centered at f = ±4000 Hz, each with a width of 2π.

(b) m(t) = 40/(t² - 4t + 20):
First, we need to find the Fourier transform of m(t).

Explanation:
The Fourier transform of the rectangular pulse function is a sinc function.

The Fourier transform of m(t) will be the Fourier transform of 40/(t² - 4t + 20), which is a combination of rectangular pulse functions. The spectrum will consist of sinc functions at different frequencies.

Next, multiply the Fourier transform of m(t) by the Fourier transform of the carrier signal cos(4000πt).

Explanation:
Similar to part (a), the Fourier transform of the carrier signal is a pair of delta functions at f = ±4000 Hz.

Multiplying the Fourier transform of m(t) with the Fourier transform of the carrier signal results in shifting the sinc functions to frequencies ±4000 Hz.

Therefore, the spectrum of the DSB-SC signal 2m(t)cos(4000πt) for message signal (b) m(t) = 40/(t² - 4t + 20) will have sinc functions centered at f = ±4000 Hz, each with a different shape determined by the Fourier transform of the message signal.

In conclusion, the spectrum of the DSB-SC signal 2m(t)cos(4000πt) for message signals

(a) m(t) = sinc²(100πt - 50π) and

(b) m(t) = 40/(t² - 4t + 20) will have rectangular pulses centered at

f = ±4000 Hz for message signal

(a) and sine functions centered at f = ±4000 Hz for message signal

(b), each with different shapes determined by the Fourier transform of the respective message signal.

To know more about signals visit

https://brainly.com/question/32676966

#SPJ11

The maximum shear stress theory, also known as the Tresca’s theory, states that a material's failure occurs when the maximum shear stress in the material exceeds the yield strength in shear.

This theory applies when the material is ductile, i.e., it can be deformed plastically.

This theory assumes that failure occurs when the maximum shear stress reaches a critical value that is equivalent to the shear yield strength.

Definition of Shear stress

The force per unit area that is applied tangentially across the surface of a material in response to a shearing force is known as shear stress.

Shear stress is a critical factor in the stability of a material, particularly in the design of structures.

Shear stress is denoted by the Greek symbol tau (τ).

The formula for calculating the shear stress is as follows:

τ = F / A, where F is the force applied parallel to the surface, and A is the area of the surface in contact with the force.

Sketch of Failure Envelope

The failure envelope for the maximum shear stress theory is an octahedral plane.

The envelope has eight planes that meet at 45 degrees, forming an octahedral shape.

The octahedral plane is formed by considering the material's six principal stresses.

The figure below shows the failure envelope for the maximum shear stress theory. [

tex]\tau[/tex] is the maximum shear stress, and [tex]\sigma[/tex] is the normal stress.

Learn more about Shear stress from the given link

https://brainly.com/question/30407832

#SPJ11

The torque in the shaft is approximately 2.749 N·m, and the maximum shear stress in the shaft is approximately 25.75 MPa.

To determine the torque and maximum shear stress in the shaft, we can use the following formulas:

1. Torque (T) in Newton-meter (N·m):

  T = Power / Angular velocity

2. Maximum Shear Stress (τmax) in Megapascals (MPa):

  τmax = (16 * T) / (π * d^3)

Given data:

Motor Power (P) = 85 W

Impeller speed at B (ω) = 295 rpm

Shaft A diameter (d) = 28 mm

1. Torque (T):

  First, we need to convert the angular velocity from rpm to rad/s:

  ω = 295 rpm * (2π / 60) rad/s

  T = P / ω

2. Maximum Shear Stress (τmax):

  Convert the shaft diameter from millimeters to meters:

  d = 28 mm / 1000 m

  Substitute the values into the formula:

  τmax = (16 * T) / (π * d^3)

Now we can calculate the values:

1. Torque (T):

  ω = 295 rpm * (2π / 60) rad/s = 30.942 rad/s

  T = 85 W / 30.942 rad/s

2. Maximum Shear Stress (τmax):

  d = 28 mm / 1000 m = 0.028 m

  τmax = (16 * T) / (π * d^3)

Calculate T:

T = 85 W / 30.942 rad/s

T ≈ 2.749 N·m

Calculate τmax:

τmax = (16 * T) / (π * d^3)

τmax ≈ (16 * 2.749) / (π * (0.028)^3)

τmax ≈ 25.75 MPa

Therefore, the torque in the shaft is approximately 2.749 N·m, and the maximum shear stress in the shaft is approximately 25.75 MPa.

to learn more about torque.

https://brainly.com/question/30338175

#SPJ11

To determine the FPF (Failure Potential Factor) strengths of a four-ply angle-ply symmetric laminate using different failure criteria, we need the lamina properties and the failure criteria equations.

Unfortunately, you mentioned "using lamina properties from the tables," but it seems that the tables or specific lamina properties are missing from your query.

However, I can provide you with an overview of the three failure criteria (Maximum Stress Criterion, Tsai-Hill Criterion, and Tsai-Wu Criterion) and explain how they are commonly used to analyze laminate failure. This information can help you understand the concepts and apply them once you have the necessary lamina properties.

1. Maximum Stress Criterion:

The Maximum Stress Criterion states that failure occurs when any individual normal or shear stress component exceeds the respective strength values of the material. It is the simplest failure criterion and is based on linear elastic material behavior. To apply this criterion, you compare the maximum stresses experienced by each ply with the corresponding strengths of the material.

2. Tsai-Hill Criterion:

The Tsai-Hill Criterion is an improvement over the Maximum Stress Criterion, accounting for the interaction between different stress components. It uses a quadratic equation to calculate a combined stress criterion. The Tsai-Hill Criterion is given by:

(F1/F1t)^2 + (F2/F2t)^2 + (F6/F6t)^2 - (F1/F1t)*(F2/F2t) + 2*(F6/F6t)^2 <= 1

Where F1, F2, and F6 represent the applied stress components (normal and shear), and F1t, F2t, and F6t represent the respective strength values.

3. Tsai-Wu Criterion:

The Tsai-Wu Criterion further improves upon the Tsai-Hill Criterion by considering both tensile and compressive failure modes, as well as the effect of material non-linearity. It uses a bi-quadratic equation to calculate a failure index. The Tsai-Wu Criterion is given by:

(F1/F1t) + (F2/F2t) + (F6/F6t) + (F11/F11t) + (F22/F22t) + (F66/F66t) <= 1

Where F11, F22, and F66 represent the applied stress components (bending, in-plane shear, and transverse shear), and F11t, F22t, and F66t represent the respective strength values.

To compare the results obtained from these criteria, you can calculate the failure indices for each ply using the lamina properties and then compare them. The ply with the highest failure index indicates the most critical failure mode according to that criterion.

Please provide the lamina properties and any other specific information related to the laminate you want to analyze, and I'll be happy to assist you further in calculating the FPF strengths using the Maximum Stress Criterion, Tsai-Hill Criterion, and Tsai-Wu Criterion.

To know more about  FPF, visit:

https://brainly.com/question/31775814

#SPJ11

The Verilog code provided can be used as a starting point for your implementation.

To design a combinational circuit that converts a three-bit unsigned number to its two's complement, we can follow these steps:
1. Start by representing the input as a binary number.

For example, let's assume the three-bit input is A2, A1, and A0.
2. Convert the binary number to its two's complement by inverting all the bits and adding 1 to the result.
3. In Verilog, we can implement this circuit using logic gates and assign statements.

Here's an example of how the circuit could be implemented:
  module twos_complement(input [2:0] A, output [2:0] complement);
      assign complement = ~A + 1;
  endmodule
4. To simulate the circuit, you can use a Verilog simulator like ModelSim.

Create a testbench module that provides input values and captures the output values. Use the `$display` statement to print the results. Here's an example:
  module testbench;
      reg [2:0] A;
      wire [2:0] complement;
      twos_complement dut (.A(A), .complement(complement));
      initial begin
          A = 3'b000; // Input value
          #10; // Wait for simulation time
          $display("Input: %b, Output: %b", A, complement);
      end
  endmodule
5. Compile and simulate the testbench using ModelSim or any other Verilog simulator.

The Verilog code provided can be used as a starting point for your implementation.

Remember to adjust the input values and simulation time to suit your requirements.

To know more about Verilog code, visit:

https://brainly.com/question/31481735

#SPJ11

Power supplied to the compressor = 5 (360.4 - 309.4)Power supplied to the compressor = 254 kW. the power required to compress air is 254 kW.

Given that a centrifugal compressor is steadily supplied with air at 150 kPa and 30°C. 5 kg/second of air is flowing. The compressor outlet pressure is 750 kPa, during the process the rate of heat removal from the air is 0.5 kW.

Exit temperature of air compressor is 500°C.a. Steady State Energy Equation:steady state energy equation for the compressor is given as:Qdot-Wdot_m = ΔHwhere Qdot is the heat removal rate from the air, Wdot_m is the power input to the compressor, and ΔH is the enthalpy change of the air between the inlet and exit of the compressor.b. Power Required to Compress the Air:

The power required to compress the air can be calculated as shown below:For isentropic compression,ΔH = Cp(Exit Temperature - Inlet Temperature)Wdot_m = Qdot/ηiwhere ηi is the isentropic efficiency of the compressorWdot_m = (0.5/ηi) kWWe have,  Power required to compress the air is 474.35/ηi kW, where ηi is the isentropic efficiency of the compressor. Hence, the  to the question is that the power required to compress the air is 474.35/ηi kW.

To know more about power here:

brainly.com/question/33466951

#SPJ11

We need to apply the principles of thermodynamics and the Rankine cycle for both the steam and Refrigerant 134a cycles.

By applying these calculations, we can determine the answers to parts (a), (b), (c), and (d) of the problem.

Given data:

Mass flow rate of steam (ṁ): 2 kg/s

Steam cycle:

- Inlet conditions: P1 = 8 MPa, T1 = 600°C

- Condenser outlet conditions: P2 = 250 kPa

Refrigerant 134a cycle:

- Heat exchanger outlet conditions: P3 = 600 kPa, T3 = 30°C

- Condenser outlet conditions: P4 = 100 kPa

(a) To determine the net power developed by the binary cycle, we need to calculate the power output of both cycles and subtract the power consumed by the pump.

For the steam cycle:

- The turbine work is given by Wturbine = ṁ * (h1 - h2), where h1 and h2 are the specific enthalpies at the turbine inlet and condenser outlet, respectively.

- The pump work is negligible for an ideal Rankine cycle.

For the Refrigerant 134a cycle:

- The turbine work is given by Wturbine = ṁ * (h3 - h4), where h3 and h4 are the specific enthalpies at the turbine inlet and condenser outlet, respectively.

- The pump work is negligible for an ideal Rankine cycle.

The net power developed by the binary cycle is the sum of the power outputs of both cycles:

Net power = Wturbine(steam cycle) + Wturbine(Refrigerant 134a cycle).

(b) The rate of heat addition to the binary cycle is the heat transfer from the steam cycle to the Refrigerant 134a cycle in the heat exchanger. This can be calculated using the energy balance:

Qin = ṁ * (h1 - h3).

(c) The thermal efficiency of the binary cycle is given by:

Thermal efficiency = (Net power developed) / (Rate of heat addition).

(d) The rate of entropy production in the interconnecting heat exchanger can be determined by analyzing the entropy balance across the heat exchanger. It is given by:

Entropy production = ṁ * (s1 - s2 + s3 - s4), where s1, s2, s3, and s4 are the specific entropies at the corresponding states.

To find the specific enthalpies and specific entropies at different states, we can use the steam tables and Refrigerant 134a tables.

By applying these calculations, we can determine the answers to parts (a), (b), (c), and (d) of the problem.

to learn more about thermodynamics.

https://brainly.com/question/1368306

#SPJ11

MOR=3PL/(2bd^2), for a 3 point bending test (being a load, L the support span, b the width of the beam, and d the depth of the beam)The maximum flexural stress sustained by the test specimenIt is a stress magnitude measured in Pa or PSI

The modulus of rupture (MOR) is a measure of the maximum flexural stress sustained by the test specimen. For a 3-point bending test,

the formula MOR=3PL/(2bd^2) can be used, where L is the support span, P is the load, b is the width of the beam, and d is the depth of the beam. It is a stress magnitude measured in Pa or PSI.

The modulus of rupture is also known as the flexural strength.

MOR (Modulus of Rupture) is calculated using the formula MOR=6Dd/L^2 in a 3 point bending test, where D is the maximum deflection, d is the depth of the beam, and L is the support span.

MOR is equivalent to flexural strength, which represents the ability of a material to withstand bending stresses.

It is a measure of the maximum flexural stress sustained by the test specimen during the bending test.

MOR is expressed in units of stress, such as Pascal (Pa) or pounds per square inch (PSI). Therefore, it is a stress magnitude and not a unitless magnitude.

MOR is not the same as the maximum tensile stress. Tensile stress refers to the stress experienced by a material when subjected to tensile forces, whereas MOR specifically represents the stress experienced during bending.

Learn more about bending test :

brainly.com/question/30638447

#SPJ11

The specific volume of dry steam (vg) can be calculated. The quality of water is 0.37.

Given,

P = 1.5 bar

v = 0.29 m³/kg

The formula for calculating the quality (x) of water is given by;

x = 1 - (v/vg)

Where, `vg` is the specific volume of dry steam at the same pressure, P.

Therefore, we have to find out the value of `vg` and substitute the given values in the above formula to calculate the quality (x) of water.

The specific volume of dry steam (vg) can be calculated as follows;

Using steam table at 1.5 bar pressure,

Specific enthalpy of dry steam (hg) = 2766.4 kJ/kg

Specific enthalpy of water (hf) = 639.1 kJ/kg

Latent heat of vaporization (hfg) = hg - hf

                                                     = 2766.4 - 639.1

                                                     = 2127.3 kJ/kg

At 1.5 bar pressure, the specific volume of dry steam, vg = `0.4612 m³/kg`

Now, substitute the given values in the formula to calculate the quality (x) of water.

x = 1 - (v/vg)

x = 1 - (0.29/0.4612)

x = 0.3723

  ≈ 0.37

Therefore, the quality of water is 0.37.

To know more about enthalpy, visit:

https://brainly.com/question/32882904

#SPJ11

The specific enthalpy at State 2 in the steam tables based on the known entropy value and the pressure of 2.0 MPa.

The following parameters are calculated by the below process:

Enthalpy at State 1 (h₁) = 2780 kJ/kg

Entropy at State 1 (s₁) = 7.564 kJ/(kg·K)

Entropy at State 2 (s₂) = 7.564 kJ/(kg·K)

Compressor work input (Ws) = - 2780 kJ/kg

To determine the required values, we can utilize the steam tables. However, please note that the steam tables provide accurate values for water and steam properties under certain conditions, such as pressures up to 10 MPa. Since the given problem involves a pressure of 2.0 MPa, we can assume that the steam tables' properties will be applicable.

(a) Enthalpy at State 1:

Since the steam exists as saturated vapor at the inlet state, we can use the saturated vapor properties to determine the enthalpy at State 1. Looking up the values in the steam tables at 300 kPa:

Enthalpy at State 1 = h₁ = 2780 kJ/kg (approximately)

(b) Enthalpy at State 2:

To determine the enthalpy at State 2, we need to use the isentropic process condition. In an isentropic process, the entropy remains constant. Therefore, the entropy at State 1 will be equal to the entropy at State 2.

Entropy at State 1 = S₁ = S₂ (isentropic process)

We can determine the entropy at State 1 using the saturated vapor properties at 300 kPa. Looking up the values in the steam tables:

Entropy at State 1 = S₁ = 7.564 kJ/(kg·K) (approximately)

Now, we can determine the enthalpy at State 2 by looking up the values in the steam tables at 2.0 MPa with the known entropy:

Enthalpy at State 2 = h₂ (at S2, P = 2.0 MPa)

(c) Entropy at State 2:

We already determined that the entropy at State 2 is equal to the entropy at State 1:

Entropy at State 2 = S₂ = 7.564 kJ/(kg·K) (approximately)

(e) Compressor work input:

The compressor work input can be calculated using the enthalpy values at State 1 and State 2:

Compressor work input = h₂ - h₁

Substituting the values:

Compressor work input = h₂ - 2780 kJ/kg (approximately)

Please note that we still need the enthalpy value at State 2 to calculate the compressor work input.

You can look up the specific enthalpy at State 2 in the steam tables based on the known entropy value and the pressure of 2.0 MPa.

To know more about enthalpy, visit:

https://brainly.com/question/32882904

#SPJ11

Given that,A rigid tank of 0.5 m3 contains Refrigerant-134a which is initially at a pressure of 700 kPa and at a temperature corresponding to a quality of 40%. The amount of heat transferred from the refrigerant is until the pressure inside the tank reduces to 160 kPa.

We need to calculate (a) the mass of the refrigerant in the tank, (b) the amount of heat transferred and (c) show the process on a P-v diagram with respect to saturation lines.1. Calculation of Mass of Refrigerant.

Given that, the volume of the tank, V = 0.5 m3The pressure inside the tank initially, P1 = 700 kPa.

The pressure inside the tank finally, P2 = 160 kPaThe refrigerant is initially at 40% quality.

This means that the liquid portion of the refrigerant occupies 0.4 x V of the total volume, while the vapour portion occupies the remaining (1 - 0.4) V = 0.6 V.Let the mass of the liquid phase be ml, and that of the vapour phase be mv. Thus, ml + mv = m (total mass of refrigerant).From the given data, we can obtain the specific volumes corresponding to the given pressure and quality using refrigerant tables.

From Table A.3 in the textbook, the specific volume of refrigerant-134a corresponding to a pressure of 700 kPa and a quality of 40% is v1 = 0.1354 m3/kg. Similarly, the specific volume corresponding to a pressure of 160 kPa is v2 = 0.6973 m3/kg.Using the definition of quality, we can write that:0.4 = ml/(ml + mv) => 0.4 ml + 0.4 mv = ml => 0.6 ml = 0.4 mv => mv/ml = 0.6/0.4 = 1.5.

Using the ideal gas law for the vapour phase (at P2 = 160 kPa), we can write:

mv = P2 V/(R T2) => mv = P2 v2 m/(R T2) where R is the specific gas constant of refrigerant-134a, and T2 is the temperature at which the refrigerant exists as a vapour at 160 kPa

.Using the definition of quality, we know that:

ml = (1 - 0.4)V/v1 => ml = (1 - 0.4) m v1/V.

From the above equations, we can write that:m = (mv + ml) => m = mv (1 + mv/ml) => m = (P2 v2/RT2)(1 + 1.5) ml = ((1 - 0.4) m v1/V)(using ml + mv = m) => m = 2.1415 kg.

Thus, the mass of the refrigerant in the tank is 2.1415 kg.

2. Calculation of Heat Transferred.

From the First Law of Thermodynamics, we know that:Q = (m2 - m1) u2 + m1 (u2 - u1)where Q is the heat transferred, m1 and m2 are the initial and final masses of the refrigerant, and u1 and u2 are the initial and final internal energies of the refrigerant, respectively. For an incompressible substance (like a liquid), the internal energy is simply a function of temperature.

For an ideal gas, the internal energy is a function of temperature only and is independent of pressure. However, for a vapour-liquid mixture, the internal energy depends on both temperature and quality.

Using Table A.3 in the textbook, the internal energies corresponding to the given pressure and quality values are:

u1 = 254.35 kJ/kg and u2 = 184.09 kJ/kg.

Using the values calculated in Part 1, we get:

m1 = (0.4)(0.5)/v1 = 1.474 kgandm2 = (0.4)(0.5)/v2 + (0.6)(0.5)/v2 = 0.7185 + 0.5111 = 1.2296 kg.

Therefore,Q = (m2 - m1) u2 + m1 (u2 - u1) = (1.2296 - 1.474)(184.09) + 1.474(184.09 - 254.35) = -96.08 kJ.

The amount of heat transferred from the refrigerant is -96.08 kJ. (Note: The negative sign indicates that heat was lost by the refrigerant, since its temperature decreased.)3. P-v Diagram with respect to Saturation Lines.

We can represent the process on a P-v diagram as shown below:

Here, the point A corresponds to the initial state of the refrigerant (P1, v1), and the point B corresponds to the final state (P2, v2). The straight line AB represents a process at constant volume (since the tank is rigid), and the dotted line BC represents a process during which the refrigerant undergoes a phase change from a two-phase mixture to a saturated liquid at P2. The point C corresponds to the saturated liquid state at P2.

The mass of the refrigerant in the tank is 2.1415 kg.The amount of heat transferred from the refrigerant is -96.08 kJ (negative sign indicating heat loss).The process on a P-v diagram with respect to saturation lines is shown below:

To know more about specific gas constant :

brainly.com/question/30714767

#SPJ11

Leaving an expressway requires careful preparation and execution. By following these steps, you can ensure that you and others stay safe while you exit the expressway.

When you get ready to leave an expressway, there are specific actions that you should undertake. These actions are important for your safety as well as the safety of other motorists. Below are some of the things that you should do when leaving an expressway:1. Start preparing to leave an expressway when you are around 1 mile from your exit point. To help prepare for your exit, look out for any signs on the side of the expressway that indicate your exit is coming up.2. As you get closer to your exit point, move into the right-hand lane, which is known as the deceleration lane. This lane is intended to allow you to decrease your speed before exiting the expressway.3. Begin to slow down as you reach the deceleration lane, but do not stop until you are off the expressway.4. Continue to drive until you reach the exit ramp, which is a smaller road that leads off of the expressway. Use your turn signal to indicate that you will be turning off of the expressway.5. As you move onto the exit ramp, maintain a slow and steady speed. Do not speed up or slow down too quickly, as this could cause an accident.6. Once you have exited the expressway, drive to your destination at a safe and steady pace. Do not speed or engage in any other reckless behavior that could endanger you or others on the road.

To know more about execution, visit:

https://brainly.com/question/11422252

#SPJ11

The power developed by the turbine, in kW, is 6315.9.

Given data:

Steam enters a well-insulated turbine operating at steady-state with the following conditions:

Inlet pressure (P1): 4 MPa

Inlet temperature (T1): 320°C

Inlet velocity (v1): 10 m/s

Steam expands to the turbine exit with the following conditions:

Exit pressure (P2): 0.07 MPa

Exit quality (x): 0.9

Exit velocity (v2): 90 m/s

Mass flow rate (m): 10 kg/s

Power developed by the turbine, in kW.

The power developed by the turbine can be calculated using the equation:

P = (m * (h1 - h2)) - (m * (u1 - u2))

Where:

P is the power developed by the turbine,

m is the mass flow rate,

h1 and h2 are the specific enthalpies at the respective pressures,

u1 and u2 are the specific internal energies at the respective pressures.

First, let's find the specific enthalpies h1 and h2 using the steam tables:

h1 = 3193.4 kJ/kg

h2 = 2399.1 kJ/kg

Next, let's find the specific internal energies u1 and u2 using the steam tables:

u1 = 2797.1 kJ/kg

u2 = 2438.3 kJ/kg

Substituting the given values into the power equation:

P = (10 * (3193.4 - 2399.1)) - (10 * (2797.1 - 2438.3)) = 6315.9

Therefore, the power developed by the turbine, in kW, is 6315.9.

Learn more about Power developed by a steam turbine:

https://brainly.com/question/28661503

#SPJ11

Aesthetics is a subjective concept that encompasses various elements to create a visually pleasing and harmonious experience. When considering aesthetics, four important elements to include are variety, form, emphasis, and asymmetry.

1. Variety: Incorporating a range of different elements, such as colors, textures, shapes, and patterns, adds visual interest and prevents monotony. Variety can create a dynamic and engaging composition.

2. Form: The form refers to the shape, structure, and overall arrangement of elements. A well-defined and balanced form can evoke a sense of order and unity, contributing to the overall aesthetic appeal.

3. Emphasis: Emphasizing specific elements or focal points draws attention and creates a hierarchy within the composition. This can be achieved through contrasting colors, larger or unique shapes, or strategic placement, enhancing the visual impact.

4. Asymmetry: While symmetry can be visually pleasing, introducing deliberate imbalances or irregularities can add intrigue and uniqueness. Asymmetry creates a sense of movement and visual tension, making the design more captivating.

By considering these four elements, one can create a visually appealing aesthetic that is diverse, well-structured, visually engaging, and aesthetically intriguing.

Remember that these elements can be applied differently based on the context and desired outcome, allowing for endless possibilities and creative expressions.

For more such questions on Aesthetics,click on

https://brainly.com/question/18610933

#SPJ8

The statement "Road grime can reduce headlight illumination up to 50 percent" is true.

This is because road grime, dirt, and debris can accumulate on head lights and obstruct the light output. This can reduce the illumination of the headlights and make it harder to see while driving at night or in low-light conditions.

To ensure maximum visibility and safety while driving, it is important to regularly clean your headlights and remove any buildup of road grime or other debris.

Learn more about statement here:

brainly.com/question/17238106

#SPJ11

The engine's develop power is 35.639 kW.

Given data:

Using the given formulas and calculations, we can determine the engine's develop power:

Calculate the mass flow rate of air (ma):

ma = [ρaTst / Pst] × (Pintake / Tintake) × Qv × V

ma = 1.192 kg/m³ × (101.3 kPa / 273 K) × (103 kPa / 320 K) × 0.9 × V

Calculate the mass flow rate of fuel (mf):

mf = (air-fuel ratio) × ma = 14 × ma

Calculate the net work output (IP):

IP = BP / μ = (2π × N / 60) × (0.10) × (0.0591) / μ

Calculate the maximum pressure (Pmax):

Pmax = 0.85 / (Aic × 1.5429)

Calculate the ratio of temperatures (T2 / T1):

T2 / T1 = P2 / P1^(k/γ) = 9^(1.35/1.35) = 9

Calculate Qiv:

Qiv = (mf × LHV) = 17,479.95 J/s

Calculate BP:

BP = IP × (mf × LHV) / μ

Finally, the engine's develop power is the value obtained for BP.

Therefore, the engine's develop power is 35.639 kW.

Learn more about engine develop power:

https://brainly.com/question/30284484

#SPJ11

The maximum modulus and Volume fraction (Vf) required for longitudinal modulus (Ez) of 5.5 msi.

Fiber Volume% (Vf) = 62%

Modulus of Epoxy matrix (E) = 320,000 psi

To find:

A. Maximum Modulus

Let Vf = Volume fraction of fibers

Ve = Volume fraction of Epoxy

Em = Modulus of the composite

∴ Em = Vf × Ef + Ve × Ee

Here,

Ef = Modulus of fibers

Ee = Modulus of Epoxy

∴ Em = Vf × Ef + Ve × Ee

320,000 = 0.62 × Ef + (1 - 0.62) × 10,000

Ef = 147,541.94 psi

Maximum modulus of the composite is obtained when fibers are aligned longitudinally.

Maximum Modulus of the composite = EfB.

Volume fraction (Vf) required for longitudinal modulus (Ez) of 5.5 msi.

Let Vf = Volume fraction of fibers

Ve = Volume fraction of Epoxy

Ez = Modulus of composite in longitudinal direction

     = EmVe + EfVf

Ve = 1 - Vf

∴Ez = Em(1 - Vf) + EfVf5.5 × 10^6

     = 320,000(1 - Vf) + 147,541.94

Vf = 0.7208 or 72.08%

Therefore, Volume fraction (Vf) required for longitudinal modulus (Ez) of 5.5 msi is 72.08%.

Hence, we have calculated the maximum modulus and Volume fraction (Vf) required for longitudinal modulus (Ez) of 5.5 msi.

To know more about Volume, visit:

https://brainly.com/question/28058531

#SPJ11

By following the given steps, businesses can design a channel structure that aligns with their goals, reaches the target market effectively, and maximizes the distribution and sales of their products or services.

Define your channel objectives: Start by clarifying your business objectives and aligning them with your channel strategy.

Understand your target market: Conduct market research to gain insights into your target audience's preferences, behaviors, and purchasing patterns.

Determine channel options: Explore different channel options available to you, such as direct sales, distributors, wholesalers, retailers, e-commerce platforms, or a combination of these.

Evaluate channel partners: If you plan to work with intermediaries like distributors or retailers, carefully evaluate potential channel partners.

Define channel roles and responsibilities: Clearly define the roles and responsibilities of each channel member.

Develop channel policies: Create policies and guidelines that govern the relationship between you and your channel partners.

Create a channel communication plan: Effective communication is vital for successful channel management.

Provide training and support: Invest in training programs to equip your channel partners with the necessary knowledge and skills to effectively sell and support your products.

Implement channel performance measurement: Establish metrics to evaluate the performance of your channel structure.

Continuously review and adapt: The market dynamics and customer preferences evolve over time, so regularly assess the effectiveness of your channel structure.

To learn more on Channel structure click:

https://brainly.com/question/795168

#SPJ4

Air flows steadily through an adiabatic diffuser.

a) the outlet temperature of air is found to be 27,429.5 K

b) the exit area of the diffuser is found to be 1.495 m².

Given values are :

Inlet area = 0.5 m²

Velocity = 341 m/s

Temperature at inlet = 7°C

= 7 + 273

= 280 K

Pressure at inlet = 94 kPa

Exit velocity = 41 m/s

Exit pressure = 180 kPa

(a) Determine the outlet temperature

From the conservation of energy equation,

T₁ + (V₁² / 2Cp) + (gZ₁ / Cp) = T₂ + (V₂² / 2Cp) + (gZ₂ / Cp)

Where,

T₁ = Temperature at inlet

= 280 K

V₁ = Velocity at inlet = 341 m/s

Cp = Specific heat at constant pressure

= 1.005 kJ/kg.K

g = Acceleration due to gravity

= 9.81 m/s²

Z₁ = Z₂

= Height of the diffuser (Assumed to be same at the inlet and outlet)

V₂ = Velocity at outlet

= 41 m/s

Rearranging the equation and substituting the values, we get

T₂ = 280 + ((341² / 2×1.005) - (41² / 2×1.005)).

= 280 + 27589.43 - 839.9

= 27429.53 K

T₂ = 27,429.5 K

(b) Determine the exit area of the diffuser.

From the mass flow conservation equation,

ρ₁A₁V₁ = ρ₂A₂V₂

Where,

ρ₁ = Density at inlet

    = P₁ / RT₁

ρ₂ = Density at outlet

     = P₂ / RT₂

R = Specific gas constant

    = 287 J/kg.K

T₁ = 280 K

T₂ = 27429.5 K

Substituting the values in the equation and solving for A₂

A₂ = (ρ₁A₁V₁) / (ρ₂V₂)

= A₁V₁(P₁ / RT₁) / (P₂ / RT₂)V₂

= A₁ × 341 × 94×10³ / (287 × 280) × 41×10³ / 180×10³

A₂ = 1.495 m²

Therefore, the exit area of the diffuser is 1.495 m².

To know more about Acceleration, visit:

https://brainly.com/question/2303856

#SPJ11

To answer the given questions, you would need to sketch the output signals y3(t) and z3(t), express the impulse responses of the overall systems 1 and 2, and sketch the output signal y(t) when the input signal is applied to the overall system 2.

a) To sketch the output y3(t) when the input signal x(t) is applied to the LTI system h3(t), we need to convolve the input signal with the impulse response of the system. The impulse response h3(t) consists of three delta functions centered at t=2, t=4, and t=6.

b) If the output y3(t) is applied to a differentiator, the resulting signal z3(t) will be the derivative of y3(t). The important values to show would be the locations and values of any peaks or zero crossings in z3(t).

c) When the LTI systems h1(t), h2(t), and h3(t) are connected in series to form an overall LTI system 1, the impulse response of the overall system can be obtained by convolving the impulse responses of the individual systems in the series. The impulse response of the overall system 1 would be expressed in terms of h1(t), h2(t), and h3(t).

d) When the LTI systems h2(t) and h3(t) are connected in parallel to form an overall LTI system 2, the impulse response of the overall system can be obtained by adding the impulse responses of the individual systems in parallel. The impulse response of the overall system 2 would be expressed in terms of h2(t) and h3(t).

e) If the input signal x(t) is applied to the overall LTI system 2 to give the output y(t), the output y(t) can be obtained by convolving the input signal with the impulse response of the overall system 2. Sketch the output y(t) and show important values such as peaks or zero crossings.

In summary, to answer the given questions, you would need to sketch the output signals y3(t) and z3(t), express the impulse responses of the overall systems 1 and 2, and sketch the output signal y(t) when the input signal is applied to the overall system 2.

Be sure to include important values in your sketches and explanations.

To know more about output, visit:

https://brainly.com/question/14227929

#SPJ11

The value of hf at 0.8 bar is given ashf = 327.56 kJ/kg. The quality of water is x is 1.050.

Formula used for determining the quality of steam is:

x = (h-hf)/(hfg)

The quality of water is x = 1.050.

Given:

P = 0.8 bar

v = a. 0.55 Od 0.65 0.95 1.148 m²9/kg

To determine:

quality x of water

Formula used for determining the quality of steam is:

x = (h-hf)/(hfg)

where,

h = v(P)hf

= specific enthalpy of saturated liquid at the same temperature

hfg = latent heat of vaporization at the same temperature

Now, the specific volume of steam v = 0.55 m³/kg lies in the region where water is in compressed liquid phase, thus we need to use compressed liquid tables to determine the hf at 0.8 bar from the steam tables.

The value of hf at 0.8 bar is given ashf = 327.56 kJ/kg

From steam tables, the specific enthalpy of saturated steam at 0.8 bar (P) is h = 2788.9 kJ/kg,

the latent heat of vaporization at 0.8 bar (P) is hfg = 2255.8 kJ/kg.

Now, putting the values in the formula:

x = (h-hf)/(hfg)

x = (2788.9 - 327.56) / (2255.8)

x = 1.050

The quality of water is x = 1.050.

To know more about enthalpy, visit:

https://brainly.com/question/32882904

#SPJ11

In computer science, the recurrence relation is used to calculate the time complexity of a recursive function. Here, we are to write a recurrence relation for the running time of the recursive version of Insertion sort.

Insertion sort can be expressed as a recursive procedure as follows:In order to sort A[1…n], we recursively sort A[1…n−1] and then insert A[n] into the sorted array A[n−1].Algorithm to insert A[n] into the sorted array A[1..n-1]:1. Recursive call to sort A[1..n-1].2. Put the last element in the correct position by shifting the array. Let's denote the time taken by the function as T(n).The worst-case scenario happens when the input array is sorted in decreasing order. In this case, each time we enter the loop and slide an element to the right, we must compare it to each element in the sorted sub-array. Therefore, the time complexity of the insertion sort algorithm in the worst-case is O(n2). The recurrence relation for the running time of the recursive version of insertion sort is given by:T(n) = T(n-1) + nwhere n is the input size, T(n-1) represents the time taken by the function to sort n-1 elements, and n is the time taken to sort n elements.The base case for this recurrence is when there is only one element, i.e., T(1) = 1.The time complexity of insertion sort can be determined using the recurrence relation. So, T(n) is given by:T(n) = T(n-1) + n= T(n-2) + (n-1) + n= T(n-3) + (n-2) + (n-1) + n= ........= T(1) + 2 + 3 + ... + (n-1) + n= n(n+1)/2= O(n2)In conclusion, we can say that the time complexity of the recursive version of insertion sort is O(n2).

To know more about complexity, visit:

https://brainly.com/question/31836111

#SPJ11

To approximate the collector area needed to meet 50% of the heating load, we can follow these steps:

Calculate 50% of the heating load: 720,000 Btu/day x 0.5 = 360,000 Btu/day. Determine the amount of collector area required to deliver 360,000 Btu/day. Since the solar heating system can deliver 800 Btu/day per square foot of collector area, we divide the desired heating load by the energy output per square foot: 360,000 Btu/day ÷ 800 Btu/day per square foot = 450 square feet.

To find the collector area needed to meet 50% of the heating load, we need to calculate the amount of energy required and then divide it by the energy output per square foot. By dividing the desired heating load by the energy output per square foot, we can determine the square footage needed.

To know more about collector visit:-

https://brainly.com/question/33261989

#SPJ11

The circular pitch of the gear is approximately 1.998 millimeters.

The circular pitch is defined as the distance between corresponding points on the adjacent teeth along the circumference of the pitch circle.

The calculation of circular pitch is given by the formula P = πd/N,

where d is the diameter of the pitch circle and N is the number of teeth on the gear wheel.

The given pitch circle diameter is 12.74 millimeters and the number of teeths on the gear wheel are 20.

Circular Pitch = P

                      = πd/N

                      = (3.14 × 12.74)/20

                      = 1.998 millimeters (Approximately)

Learn more about circular pitch from the given link

https://brainly.com/question/13039932

#SPJ11

The minimum volume flow rate of air required in cfm to remove heat at a rate of 10kW with a temperature difference not more than 20°C is 41.77 cfm.

The formula to calculate the minimum volume flow rate of air required in cfm is as follows;
\frac{Q}{\rho C_{p} \Delta T}
Where, Q = Rate of heat transferred, ρ = Density of air, C_{p} = Specific heat of air, and ΔT = Temperature difference.

Q = 10 kW, ΔT = 20°C, C_{p} = 1.006 kJ/kg°C at room temperature and pressure, ρ = 1.2 kg/m^{3} at room temperature and pressure.

Substituting the values, the formula becomes:
\frac{10\ kW}{1.2\ kg/m^{3} \times 1.006\ kJ/kg°C \times 20°C} = 41.77\ cfm

Therefore, the minimum volume flow rate of air required in cfm to remove heat at a rate of 10kW with a temperature difference not more than 20°C is 41.77 cfm. When a heat source such as a computer, a lamp or a human body produces heat, the air in the immediate vicinity of the heat source becomes hotter. The air expands, becoming less dense, and rises away from the heat source. As it moves, it cools and eventually sinks to the floor. This convection current, which is caused by temperature differences, can be exploited to cool the room. To achieve this, a heat sink with fins is placed on the heat source. The fins improve the sink's surface area, allowing it to dissipate more heat into the surrounding air.

The air's ability to absorb heat depends on the volume of air flowing past the heat sink. When a heat source produces a large amount of heat, the air flowing past it must be greater to remove the heat. The temperature of the air exiting the heat sink determines the heat sink's effectiveness. The faster the air flows, the cooler it is, and the more heat it can remove. As a result, it is critical to choose an appropriate fan speed. High speeds might cause the fins to break, while low speeds might cause inadequate cooling. In summary, the minimum volume flow rate of air required in cfm to remove heat at a rate of 10kW with a temperature difference not more than 20°C is 41.77 cfm.

It is critical to select the proper air flow rate when designing heat sinks and ventilation systems for electronics and computers. If the flow rate is too low, the heat sink will be unable to remove all of the heat generated by the computer, causing it to overheat. On the other hand, if the flow rate is too high, the fins on the heat sink might break, lowering its effectiveness.

To know more about Specific heat visit:

brainly.com/question/31608647

#SPJ11

If the needle valves of a gas welding torch become loose, you should tighten the needle valve locknuts. In gas welding, a flame is generated by burning a mixture of fuel gas and oxygen. It is utilized in the production of several types of metal items.

A gas welding torch is an essential tool for the gas welding process. It is made up of a fuel gas, oxygen, and a welding nozzle. The welding torch has a needle valve that regulates the gas flow to the nozzle. However, if the needle valves become loose, it can affect the welding process. A loose needle valve can cause irregular gas flow and inconsistent flames, resulting in low-quality welding work. As a result, it is important to fix the needle valve problem as soon as possible. The best solution for this issue is to tighten the needle valve locknuts. Tightening the locknuts on the needle valve is a straightforward task. It should be done with the aid of a wrench, and it is an easy fix. In addition, this solution is cost-effective because it does not require the replacement of any parts. If the needle valve locknuts are properly tightened, the welding torch can perform well during the gas welding process.

Tightening the needle valve locknuts is the best option if the needle valves of a gas welding torch become loose. This is because it is an easy and cost-effective solution that does not require the replacement of any parts. A loose needle valve can affect the quality of the welding work, so it is important to address this issue as soon as possible.

To know more about fuel gas visit:

brainly.com/question/31857421

#SPJ11