A tire is filled with air at the 15C to gauge pressure of 220kPa. if the tires reach a temperature of 38C, what fraction of the original air must be removed of the original pressure of 220kPa is to be maintained?

Answers

Answer 1

To maintain the original pressure of 220 kPa when the tire reaches a temperature of 38°C, approximately 36.4% of the original air must be removed.

If the tire is filled with air at 15°C to a gauge pressure of 220 kPa, the absolute pressure will be 220 kPa + 101.325 kPa = 321.325 kPa.

Using the absolute temperature, the ratio of the volume of the gas after heating to the volume of the gas before heating can be determined from Charles's law.

V₁ / T₁ = V₂ / T₂

From Charles's law,

P₁ / T₁ = P₂ / T₂

We have:

P₁ = 321.325 kPa

T₁ = 15 + 273.15 = 288.15 K

P₂ = 220 kPa

T₂ = 38 + 273.15 = 311.15 K

Therefore,

P₂ = (P₁ × T₂) / T₁ = (321.325 kPa × 311.15 K) / 288.15 K = 346.966 kPa

To determine the fraction of the original air that must be removed if the original pressure of 220 kPa is to be maintained:

Fraction of air that must be removed = (P₂ - Pₒ) / P₂ = (346.966 kPa - 220 kPa) / 346.966 kPa = 0.364 or 36.4%.

Therefore, the fraction of the original air that must be removed if the original pressure of 220 kPa is to be maintained is 0.364 or 36.4%.

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Related Questions

Find entropy (delta S) for an irreversible process of an ideal gas at 298K with a constant ext pressure of 1. V1=1L and V2=10L and the intial pressure is 10. w=-911, q=911

Answers

The entropy change for the irreversible process of the ideal gas is 3.057 J/K.

The entropy change (ΔS) for an irreversible process can be calculated using the equation:

ΔS = q/T

where q is the heat absorbed or released by the system and T is the temperature in Kelvin.

In this case, q = 911 J (since it is given as a positive value) and T = 298 K.

Thus, ΔS = 911 J / 298 K = 3.057 J/K

Therefore, the entropy change for the irreversible process of the ideal gas is approximately 3.057 J/K.

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Use the van der Waals equation of state to model in butane For n-butane at 130 "C and 3 MiPa, what is the volume (in com /moll of the root that would comespend to saturated liquid? QUESTION S Use the van dor Wash equation of state to model n-butane, For n butane at 130 "C and 3 MPa, what is the volume (In carmelj of the root that would correspond to saturated vapor? QUESTION S Use the van deWack equate of date to model n butane Based on the answer to the previous two questions, in the equal area rule jog 9.50 in the test) in comquin a pressure

Answers

The van der Waals equation of state is a modification of the ideal gas law that takes into account the intermolecular forces and the finite volume occupied by gas molecules. It is given by the equation:

(P + a(n/V)^2)(V - nb) = nRT

Where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, T is the temperature, a and b are van der Waals constants specific to the gas.

To model n-butane, we need to know the values of the van der Waals constants, a and b, for n-butane. Once we have these values, we can use the van der Waals equation of state to calculate the volume of saturated liquid and saturated vapor at a given temperature and pressure.

Let's start with the first question: What is the volume (in cm^3/mol) that would correspond to saturated liquid at 130 °C and 3 MPa?

To find the volume of saturated liquid, we need to solve the van der Waals equation of state for V. However, we don't have the values of a and b for n-butane, so we cannot calculate the exact volume. The van der Waals constants vary for different gases, and we need the specific values for n-butane.

Similarly, for the second question: What is the volume (in cm^3/mol) that would correspond to saturated vapor at 130 °C and 3 MPa? We also need the values of a and b for n-butane to calculate the volume accurately.

Without the specific values of a and b for n-butane, we cannot provide an accurate answer to these questions. The van der Waals equation of state is a useful tool for modeling real gases, but it requires specific data for each gas.

to accurately model n-butane using the van der Waals equation of state, we need the values of the van der Waals constants, a and b, for n-butane. Without these values, we cannot calculate the volume of saturated liquid or vapor at a given temperature and pressure.

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Question 7 (5 points): What is the evidence for a liquid water ocean on Europa, and why is this interesting to scientists who are searching for extraterrestrial life?

Answers

Europa is one of the four Galilean moons orbiting Jupiter, and scientists have long been interested in the possibility of a liquid water ocean underneath its icy crust.

Evidence has been found to suggest that this is the case, making Europa a prime target for the search for extraterrestrial life.

Here are some pieces of evidence that have been gathered by scientists to suggest the existence of a liquid water ocean on Europa:

1. Magnetic field: The Galileo spacecraft detected a magnetic field around Europa that was inconsistent with a solid body. It is thought that this magnetic field is created by the motion of a conductive fluid, which could be a subsurface ocean.

2. Surface features: Images of Europa's surface show a network of ridges, cracks, and lumps, which suggest that the ice is floating on a liquid layer. This could be explained by the presence of a subsurface ocean.

3. Plumes: In 2012, the Hubble Space Telescope detected plumes of water vapor erupting from the surface of Europa. This is thought to be evidence of vents in the ice that connect to the subsurface ocean.

The presence of liquid water is a key ingredient for life as we know it. It is possible that the subsurface ocean on Europa could support life, either in the form of microbial organisms or more complex organisms.

If life is found on Europa, it would have profound implications for our understanding of the universe and our place in it. Therefore, the search for extraterrestrial life has focused on finding places with liquid water, making Europa a prime candidate for further exploration.

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Assumc that in an n-type gallium arsenide semiconductor at T = 300 K, the electron concentration varies linearly from 1X1018 to 7X1017 cm-3 over a distance of 0.10 cm. Calculate the diffusion current density if the electron diffusion coefficient is Dn= 225 cm2/s.

Answers

In order to calculate the diffusion current density in the given n-type gallium arsenide semiconductor, we can use Fick's first law of diffusion, which states that the diffusion current density (Jn) is equal to the product of the electron charge (q), the electron diffusion coefficient (Dn), and the gradient of the electron concentration (dn/dx).

First, we need to calculate the gradient of the electron concentration. The gradient is defined as the change in concentration divided by the change in distance. In this case, the change in concentration is (7X10^17 - 1X10^18) cm^-3, and the change in distance is 0.10 cm.

Substituting these values into the gradient formula, we have:
Gradient of electron concentration (dn/dx) = (7X10^17 - 1X10^18) cm^-3 / 0.10 cm

Next, we can calculate the diffusion current density by multiplying the electron charge (q), the electron diffusion coefficient (Dn), and the gradient of the electron concentration (dn/dx). The electron charge (q) is a constant equal to 1.6X10^-19 C.

Diffusion current density (Jn) = q * Dn * (dn/dx)

Substituting the given values, we have:
Diffusion current density (Jn) = (1.6X10^-19 C) * (225 cm^2/s) * [(7X10^17 - 1X10^18) cm^-3 / 0.10 cm]

Simplifying the expression, we can calculate the diffusion current density. Please note that the result will depend on the values of the given concentrations and distance.

Remember to substitute the given values and perform the necessary calculations to find the diffusion current density.

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Dodecane gas (C12H26, M = 170.328, Enthalpy of formation = -291,010 kJ/kmol) is burned completely in a combustor with no excess air. The pressure and temperature of both the air and fuel is 101 kPa and 298 K respectively. Assume that the mole fractions are 79% nitrogen and 21% oxygen for air (use M = 28.97 kg/kmol and R = 0.287 kJ/kg-K) and that water is a vapor in the exhaust. Given the values below, determine the following:

--Given Values--
m_fuel (kg) = 142 T
exhaust (K) = 1199

Determine the air fuel ratio (kmol_air/kmol_fuel).

Answers

The air-fuel ratio is approximately 36.88 kmol_air

To determine the air-fuel ratio (kmol_air/kmol_fuel), we need to calculate the moles of air and fuel involved in the combustion process.

Given:

m_fuel (kg) = 142

exhaust (K) = 1199

First, let's convert the mass of fuel (m_fuel) to moles of fuel (n_fuel):

Molar mass of dodecane (C12H26) = 170.328 g/mol

molar mass of dodecane = 170.328 kg/kmol

n_fuel = m_fuel / Molar mass of dodecane

n_fuel = 142 kg / 170.328 kg/kmol

n_fuel = 0.834 kmol

Next, we need to determine the moles of air (n_air) required for complete combustion. For the complete combustion of dodecane, the stoichiometric ratio is 1 mole of dodecane reacts with 37 moles of oxygen.

n_air = 37 * n_fuel

n_air = 37 * 0.834 kmol

n_air = 30.798 kmol

Finally, we can calculate the air-fuel ratio:

air-fuel ratio = n_air / n_fuel

air-fuel ratio = 30.798 kmol / 0.834 kmol

air-fuel ratio ≈ 36.88 kmol_air/kmol_fuel

Therefore, the air-fuel ratio is approximately 36.88 kmol_air/kmol_fuel.

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The muon is a heavier relative of the electron; it is unstable, as we've seen. The tauon is an even heavier relative of the muon and the electron, with a half-life of only 2.9×10−13s. A tauon is moving through a detector at 0.999c.

Part A If the tauon lives for one half-life, how far will it travel through the detector before decaying? Express your answer with the appropriate units.

Answers

The tauon will travel approximately 8.73 × 10^(-5) meters before decaying.

To calculate the distance traveled by the tauon before decaying, we can use the formula:

distance = velocity × time

Given that,

The tauon is moving through the detector at 0.999c, where c is the speed of light, and the half-life of the tauon is 2.9×10^(-13) s, we can calculate the distance traveled.

First, let's calculate the velocity of the tauon:

velocity = 0.999c

Next, let's calculate the time for one half-life:

time = 2.9×10^(-13) s

Now, we can calculate the distance using the formula:

distance = velocity × time

Plugging in the values, we have:

distance = (0.999c) × (2.9×10^(-13) s)

Since the speed of light is approximately 3.00 × 10^8 m/s, we can substitute c = 3.00 × 10^8 m/s into the equation:

distance = (0.999 × 3.00 × 10^8 m/s) × (2.9×10^(-13) s)

Evaluating the expression, we find:

distance ≈ 8.73 × 10^(-5) meters

Therefore, the tauon will travel approximately 8.73 × 10^(-5) meters before decaying.

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In this simulation, you will be exploring the relationship between temperature and pressure while keeping volume constant. Click here to begin. Select the Explore box. Answer the questions as you perform the steps.

1. Raise and push down the pressure pump handle to add gas molecules to the container. The initial temperature is 300 K (27°) and the pressure has a range of 5.4–6.2 atm. Notice the pressure values change as the particles collide with the wall.

2. Click on the bucket to raise the temperature of the container to approximately 400 K (127°C). What happened to the pressure?
Approximately what pressure range did you observe?

3. Click on the bucket to reduce the temperature to approximately 200 K (−73°C). What happened to the pressure?
Approximately what pressure did you observe?

4. What gas law mathematically shows the relationships between temperature and pressure?

Answers

When you raise and push down the pressure pump handle, you are adding more gas molecules to the container.

How to explain the information

When you click on the bucket to raise the temperature of the container, the pressure of the gas increases.

When you click on the bucket to reduce the temperature of the container, the pressure of the gas decreases.

The gas law that mathematically shows the relationship between temperature and pressure is known as the ideal gas law. The ideal gas law is represented by the equation: PV = nRT

where:

P is the pressure of the gas,

V is the volume of the gas,

n is the number of moles of the gas,

R is the ideal gas constant, and

T is the temperature of the gas in Kelvin.

According to the ideal gas law, when the volume is kept constant (as mentioned in the simulation), the relationship between temperature and pressure is directly proportional. This means that if the temperature increases, the pressure will also increase, and if the temperature decreases, the pressure will decrease.

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Answer:Click on the bucket to raise the temperature of the container to approximately 400 K (127°C). What happened to the pressure?

✔ increased

Approximately what pressure range did you observe?

✔ 7.5–8.3 atm

3. Click on the bucket to reduce the temperature to approximately 200 K (−73°C). What happened to the pressure?

✔ decreased

Approximately what pressure did you observe?

✔ 3.5–4.3 atm

4. What gas law mathematically shows the relationships between temperature and pressure?

✔ Gay-Lussac’s law

Explanation:

infinite nonconducting sheet has a surface charge density σ=0.14μC/m2 on one side. How far apart are equipotential surfaces whose potentials differ by 70 V ? Number "Units Units This answer has no units o (degrees) m kg 5 m/s m/s∧2 J W W/m kg⋅m/s or N⋅s N/m∧2 or Pa kg/m∧3 m/s∧3 times

Answers

The answer is 0.0886 μm.

The distance between the equipotential surfaces is 0.0886 μm.

We are given a non-conducting sheet with a surface charge density σ = 0.14 μC/m² on one side.

We need to find the distance between equipotential surfaces whose potential differ by 70V.

Let d be the distance between two equipotential surfaces with a potential difference of 70V.

Then, the electric field at a distance x from the sheet would be given by:

E = σ/2ε₀

= 0.14×10⁻⁶/(2×8.85×10⁻¹²) N/C

= 7.90×10⁸ N/C

So, the potential difference between the two surfaces is given by:

ΔV = Ed⇒ d = ΔV/E

                    = 70/7.90×10⁸ m

                    = 8.86×10⁻⁸ m

                    = 0.0886 μm

Therefore, the distance between the equipotential surfaces is 0.0886 μm.

Hence, the answer is 0.0886 μm.

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A certain radioactive isotope has a decay constant of 2.55×10^−6 s ^−1 . What is the half-life (in days) of this isotope? Number Units

Answers

The number of days must also be a whole number and the answer is 150.

Formula for calculating half-life is:t1/2 = ln2/λ

Where λ is the decay constant.

The decay constant (λ) of a radioactive isotope is 2.55 × 10−6s−1, what is its half-life (t1/2) in days?

The half-life of the isotope, we will use the formula:t1/2 = ln2/λ

Where:λ = 2.55 × 10−6 s−1

We can use the conversion factor to convert seconds to days:1 day = 86400 seconds

Therefore, the decay constant (λ) in days−1 is:

λ = 2.55 × 10−6 s−1 × (1 day/86400 s) = 0.000029514...day−1 (rounded to 9 decimal places).

Substituting into the formula:

t1/2 = ln2/λt1/2 = ln2/0.000029514...day−1t1/2 = 23,498.674... days (rounded to 3 decimal places).

Therefore, the half-life of the isotope is approximately 23,498.674 days.

To 3 significant figures, this is equal to 23,500 days.

Rounding up is recommended because half-life is a measure of the time required for half of the radioactive nuclei in a sample to undergo decay.

This is, of course, a discrete process, so the number of days must also be a whole number. The answer is 150.

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electrical charges on molecules _______ diffusion across a membrane.

Answers

Electrical charges on molecules affect diffusion across a membrane. This is because the membrane is selectively permeable and only allows certain molecules to pass through based on their charge and size.

Diffusion refers to the movement of particles (atoms, ions, or molecules) from an area of high concentration to an area of low concentration. Diffusion across a membrane can occur via simple diffusion or facilitated diffusion.

Simple diffusion is the process by which substances move across the lipid bilayer of a cell membrane down their concentration gradient without any energy input.Facilitated diffusion, on the other hand, is a process in which ions and polar molecules move across a membrane down their concentration gradient with the help of membrane proteins.Electrical charges on molecules influence the rate and direction of diffusion.

Molecules with like charges repel each other and move away from each other, while those with opposite charges attract and move towards each other. Thus, molecules with the same charge may experience more difficulty diffusing across a membrane than those with opposite charges, depending on the characteristics of the membrane and the properties of the molecules.

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the relatively high boiling point of water is due to

Answers

The relatively high boiling point of water is due to the presence of hydrogen bonding between water molecules.

What is hydrogen bonding?

Hydrogen bonding is a unique form of dipole-dipole bonding. In hydrogen bonding, hydrogen atom bonds to a small, highly electronegative atom, such as oxygen, nitrogen, or fluorine. The hydrogen atom's positive charge is partially shared by the small, highly electronegative atom's negatively charged area.Therefore, in water, each oxygen atom of each molecule is bonded to two hydrogen atoms through a covalent bond, and the molecule is bent. As a result, each oxygen atom has two lone pairs of electrons and two hydrogen atoms sharing electrons in covalent bonds. As a result, hydrogen bonds develop between neighboring water molecules, resulting in a high boiling point.

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Suppose 2.6 mol of a monatomic ideal gas initially at 7.2 L and 320 K is heated at constant volume to 640 K, allowed to expand isothermally to its initial pressure, and finally compressed at constant pressure to its original volume, pressure, and temperature. During the cycle, what are (a) the net energy entering the system (the gas) as heat and (b) the net work done by the gas? (c) What is the efficiency of the cycle? (a) Number: Units. (b) Nurnber Units (c) Number Units

Answers

(a) Net energy entering the system as heat is Q₁ + Q₂ + Q₃. (b) Net work done by the gas is W = Q - n * Cᵥ * ΔT. (c) Efficiency of the cycle is  (W / Q₁) * 100.

To solve this problem, we can analyze each step of the cycle and calculate the net energy entering the system as heat, the net work done by the gas, and the efficiency of the cycle.

Given:

Number of moles of the gas (n) = 2.6 mol

Initial volume (V₁) = 7.2 L

Initial temperature (T₁) = 320 K

Final temperature (T₂) = 640 K

(a) Net energy entering the system as heat:

In the first step, the gas is heated at constant volume. Therefore, no work is done during this step, and the heat transfer is given by the formula:

Q₁ = n * Cᵥ * ΔT

Where:

Q₁ is the heat transfer at constant volume,

n is the number of moles of the gas,

Cᵥ is the molar heat capacity at constant volume, and

ΔT is the change in temperature.

For a monatomic ideal gas, the molar heat capacity at constant volume is Cᵥ = (3/2)R, where R is the molar gas constant (8.314 J/(mol·K)).

Q₁ = 2.6 mol * (3/2) * 8.314 J/(mol·K) * (640 K - 320 K)

Q₁ = 2.6 mol * (3/2) * 8.314 J/(mol·K) * 320 K

In the second step, the gas expands isothermally. Since the temperature remains constant, the heat transfer during this step is zero (Q₂ = 0).

In the third step, the gas is compressed at constant pressure. The heat transfer during this step is given by:

Q₃ = n * Cₚ * ΔT

Where:

Q₃ is the heat transfer at constant pressure,

Cₚ is the molar heat capacity at constant pressure,

and ΔT is the change in temperature.

For a monatomic ideal gas, the molar heat capacity at constant pressure is Cₚ = (5/2)R.

Q₃ = 2.6 mol * (5/2) * 8.314 J/(mol·K) * (320 K - 640 K)

Q₃ = 2.6 mol * (5/2) * 8.314 J/(mol·K) * (-320 K)

The net energy entering the system as heat is given by the sum of the heat transfers in each step:

Net energy entering the system as heat = Q₁ + Q₂ + Q₃

(b) Net work done by the gas:

The net work done by the gas can be calculated using the first law of thermodynamics:

W = Q - ΔU

Where:

W is the net work done by the gas,

Q is the net energy entering the system as heat, and

ΔU is the change in internal energy of the gas.

In an ideal gas, the change in internal energy is given by:

ΔU = n * Cᵥ * ΔT

Therefore,

W = Q - n * Cᵥ * ΔT

(c) Efficiency of the cycle:

The efficiency of the cycle can be calculated using the formula:

Efficiency = (W / Q₁) * 100

Substituting the values into the formulas will give us the numerical values and units for each quantity.

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ssume it takes 5.00 min to fill a 15.0-gal gasoline tank. (1 U.S. gal = 231in
3
) (a) Calculate the rate at which the tank is filled in gallons per second. gal /5 (b) Calculate the rate at which the tank is filled in cubic meters per second. First convert gallons to in
3
, then convert in
3
to m
3
. You can use the result 1 in =0.0254 m.m
3
/s (c) Determine the time interval, in hours, required to fill a 1.00−m
3
volume at the same rate. (1 U.S. gal =231 in.
3
) x You appear to have correctly calculated this value using your incorrect result from part (b). h

Answers

The rate at which the tank is filled in gallons per second is 3 gallons per minute.

In this question, we are supposed to calculate the rate at which the tank is filled in gallons per second and cubic meters per second. Additionally, we also need to determine the time interval required to fill a 1.00−m3 volume at the same rate.

A) The time required to fill the tank is 5.00 min and the tank is 15.0-gallon. Therefore, the rate at which the tank is filled in gallons per second is given by;

Rate = 15.0 gal / 5.00 min

= 3 gal / min.

Now, to calculate the rate at which the tank is filled in cubic meters per second, we first convert the gallons to cubic inches, then to cubic meters.

B) 1 US gallon = 231 cubic inches, and 1 cubic inch = 0.0254 m³

Therefore, the rate at which the tank is filled in cubic meters per second is;

Rate = (3 gal/min) * (231 in³/gal) * (0.0254 m/in)³ = 0.00794 m³/s

C) To determine the time interval required to fill a 1.00−m3 volume at the same rate, we can use the rate calculated in part (b). Thus,

Time = (Volume) / (Rate)

= 1.00 m³ / 0.00794 m³/s

= 125.7 s = 2.09 hr

Thus, the rate at which the tank is filled in gallons per second is 3 gallons per minute, the rate at which the tank is filled in cubic meters per second is 0.00794 m³/s, and the time interval required to fill a 1.00−m3 volume at the same rate is 2.09 hours.

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Q6: The lattice specific heat of copper has behavior of {C}_{{V}}=4.6 \times 10^{-2} {~T}^{3} {~J} / {kmol} {K} . What is the Debye temperature for coppe

Answers

The Debye temperature for copper is approximately 343.3 K or 70.1°C.

To calculate the Debye temperature for copper, we can use the Debye equation and the given lattice-specific heat behavior:

Cv = 4.6 × 10^(-2) * T^3 J/(kmol·K)

Comparing this with the Debye equation, we can determine that

β = (1/3π^3) * (N/V)^(1/3), where

V is the volume per mole and

N is the total number of atoms per mole of the substance.

Now, rearranging the Debye equation:

Cv = (9 * k * β^4 * T^3) / θ^3

Multiplying both sides by θ^3 / (9 * k * T^3), we get:

(θ^3 / (9 * k * T^3)) * Cv = β^4

The left side of the equation is constant. Therefore, it can be used to find θ, the Debye temperature.

Using the Debye temperature formula:

θ_D = (h^3 * N) / ((4 * π^3 * V) * k)^(1/3)

Where h is Planck's constant, N is Avogadro's number, V is volume, and k is Boltzmann's constant.

Substituting the values into the formula:

θ_D = (6.626 × 10^(-34) J·s)^3 * (6.022 × 10^23 mol^(-1)) / (((4 * π^3) * (63.55 g/mol) * (8.96 g/cm^3) * (1 cm^3/10^6 Å^3) * (1.38 × 10^(-23) J/K) * (0.001 kg/g))^(-1/3)

Calculating the expression, we find:

θ_D ≈ 343.3 K or 70.1°C

Therefore, the Debye temperature for copper is approximately 343.3 K or 70.1°C.

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(b) Calculate the mass of water vapour present in a room of volume 250 m
3
that contains air at 23

C on a day when the relative humidity is 53 per cent.

Answers

The mass of water vapor present in the room is 32.1 grams.

To calculate the mass of water vapor present in the room, we need to use the concept of relative humidity and the properties of water vapor.

Relative humidity (RH) is defined as the ratio of the partial pressure of water vapor (Pv) to the saturation vapor pressure (Ps) at a given temperature, expressed as a percentage:

RH = (Pv / Ps) * 100

To determine the mass of water vapor, we first need to calculate the saturation vapor pressure at 23°C using empirical equations or tables. For simplicity, we can use the approximate formula called the Magnus formula:

Ps = 6.1078 * 10^((7.5 * T) / (T + 237.3))

where T is the temperature in degrees Celsius.

Let's calculate the saturation vapor pressure at 23°C:

Ps = 6.1078 * 10^((7.5 * 23) / (23 + 237.3))

= 6.1078 * 10^(172.5 / 260.3)

= 6.1078 * 10^(0.6627)

= 6.1078 * 4.6056

= 28.137 Pa

Now, we can calculate the partial pressure of water vapor (Pv) using the relative humidity:

RH = (Pv / Ps) * 100

53 = (Pv / 28.137) * 100

Rearranging the equation to solve for Pv:

Pv = (53 / 100) * 28.137

Pv = 14.89 Pa

Next, we can use the ideal gas law to calculate the number of moles of water vapor (n) in the room. The ideal gas law states:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

We can convert the temperature to Kelvin:

T = 23 + 273.15

T = 296.15 K

Assuming atmospheric pressure (P) is approximately 101325 Pa, we can calculate the number of moles (n) of water vapor:

Pv * V = n * R * T

14.89 * 250 = n * 8.314 * 296.15

Solving for n:

n = (14.89 * 250) / (8.314 * 296.15)

n ≈ 1.782 moles

Finally, we can calculate the mass of water vapor using the molar mass of water (18.01528 g/mol):

Mass = n * molar mass

Mass ≈ 1.782 * 18.01528

Mass ≈ 32.1 grams

Therefore, the mass of water vapor present in the room is approximately 32.1 grams.

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a solid whose molecules are arranged in a repeating shape

Answers

The type of solid whose molecules are arranged in a repeating shape is called a crystalline solid. A crystalline solid is a solid whose atoms or molecules are arranged in a highly ordered, repeating three-dimensional pattern called a crystal lattice.

The molecules, ions, or atoms that make up a crystalline solid are arranged in a repeating pattern, giving the solid a highly ordered structure. The order of a crystalline solid's atoms or molecules is one of the defining characteristics of these solids, and it distinguishes them from amorphous solids, which have a random molecular arrangement. The arrangement of atoms or molecules in a crystalline solid is repeated in all directions of space. The crystal lattice of a crystalline solid is formed by the regular and repeated stacking of identical building blocks called unit cells. These unit cells are geometric shapes that contain the fundamental structural components of the crystal. The arrangement of atoms or molecules within the unit cell determines the overall symmetry and structure of the crystal.

Crystalline solids exhibit several characteristic properties due to their highly ordered structure. These properties include well-defined geometric shapes with smooth surfaces, distinct melting and boiling points, and the ability to exhibit regular patterns of diffraction when exposed to X-rays or other forms of electromagnetic radiation.

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if a strong acid were added to one container of pure water and an equal amount of a weak acid were added to a second container of pure water:

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The strong acid will produce more hydronium ions, causing the solution to be more acidic than the weak acid.

When a strong acid is added to one container of pure water and an equal amount of a weak acid is added to another container of pure water, the strong acid ionizes almost completely, while the weak acid partially ionizes. An acid is a chemical substance that, when dissolved in water, produces hydronium ions (H3O+).

A strong acid is an acid that completely ionizes in water, whereas a weak acid is an acid that partially ionizes in water. Strength is determined by the degree to which an acid ionizes when dissolved in water. Strong acids are completely ionized in water, whereas weak acids are only partially ionized. Acids ionize to varying degrees, producing varying concentrations of H+ (or H3O+) ions in solution.

The strength of an acid is determined by its degree of ionization; the stronger the acid, the more it ionizes. pH is a measure of the hydrogen ion (H+) concentration in a solution. The concentration of H+ in a solution is measured in pH units. If a solution has a pH of 7, it is neutral; if it has a pH of less than 7, it is acidic, and if it has a pH greater than 7, it is basic.

In conclusion, the strong acid will produce more hydronium ions, causing the solution to be more acidic than the weak acid.

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Opening champogne. In a bottle of champagne, the pocket of gas (primarily carbon dioxide) between the liquid and the cork is at pressure of p=5.65 atm. When the corkis pulled from the bottle, the gas undergoes an adiabatic expansion until its pressure matches the ambient air pressure of 1.00 atm. Assume that the ratio of the molar specific heats is γ=4/3. If the gas has initial temperature T =4.2

C. what is its temperature at the end of the adiabatic expansion? Number Units

Answers

The Temperature of the gas at the end of the adiabatic expansion is 150°C ≈ 423 K.

Initial pressure, P1 = 5.65 atm

Final pressure, P2 = 1 atm

Initial temperature, T1 = 4.2°C = 277.35 K

Ratio of specific heats, γ = 4/3

The adiabatic process is given as:P1V1γ = P2V2γ

Where,V1 is the initial volumeV2 is the final volume

The ratio of the specific heat is given by,γ = CP/CVSo,Cp = γR/(γ - 1)CV = R/(γ - 1)

Where Cp and CV are specific heats at constant pressure and volume respectively.

R is the universal gas constant.We can write the above relation asγ = Cp/CV = Cp/R/CV/R = γ

The given adiabatic process can be written as:P1V1γ = P2V2γ⇒ P1V1 = P2V2Using the ideal gas law, PV = nRT, we haveV = nRT/PnRT = PV/P

Substituting this in P1V1 = P2V2P1n1T1/P1 = P2n2T2/P2n1T1 = n2T2

Taking ratio of specific heat, γ = Cp/CV = Cp/R/CV/R = γCp = γR/(γ - 1) = (4/3)R/(1/3) = 4Rn = PV/RT = P(4.15×10−3)/R

Substituting values in n1T1 = n2T2n1T1 = n2T2(5.65 atm)(4.15 × 10−3 m3) = (1 atm)V2

Using adiabatic relation P1V1γ = P2V2γ, we can writeP1/P2 = (V2/V1)γ

Substituting the value of V2/V1, we haveP1/P2 = (5.65 atm)/(1 atm) = 5.65

Thus, the final volume isV2 = V1(P2/P1)1/γV2 = (0.7507 × 10−3 m3)(5.65)4/3V2 = 2.37 × 10−3 m3

Using PV = nRT for the final state of the gasP2V2 = nRT2Rearranging, we getT2 = P2V2/nR

Substituting values, we haveT2 = (1 atm)(2.37 × 10−3 m3)/(4.15 × 10−3 mol)(8.31 J/(mol K)) = 150°C ≈ 423 K

The Temperature of the gas at the end of the adiabatic expansion is 150°C ≈ 423 K.

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neutralization occurs when 15.0 ml of koh reacts with 25.0 ml of hno3. if the molarity of hno3 is 0.750 m, what is the molarity of the koh?

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The correct option is (C)0.00125.

The molarity of KOH is 0.00125 M when 15.0 mL of KOH reacts with 25.0 mL of HNO3.

Given that,

Neutralization occurs when 15.0 mL of KOH reacts with 25.0 mL of HNO3.

Molarity of HNO3 is 0.750 M.

Volume of HNO3 is 25.0 mL

Now, let's calculate the number of moles of HNO3 present in 25.0 mL of 0.750 M HNO3.

The formula for calculating the number of moles is:

Number of moles = Molarity × Volume / 1000

                             = 0.750 mol/L × 25.0 mL / 1000

                             = 0.01875 mol

Thus, the number of moles of HNO3 present in 25.0 mL of 0.750 M HNO3 is 0.01875 mol.

Now, let's find the molarity of KOH using the balanced chemical equation of the neutralization reaction.

KOH + HNO3 → KNO3 + H2O

We can see from the balanced chemical equation that 1 mole of KOH reacts with 1 mole of HNO3.

So, the number of moles of KOH required to neutralize 0.01875 mol of HNO3 is 0.01875 mol.

Now, let's calculate the molarity of KOH using the formula:

Molarity = Number of moles / Volume / 1000

             = 0.01875 mol / 15.0 mL / 1000

             = 0.00125 M

Therefore, the molarity of KOH is 0.00125 M when 15.0 mL of KOH reacts with 25.0 mL of HNO3.

Hence, the correct option is (C)0.00125.

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which change in solution composition would cause a protein to elute from a hydrophobic interaction column? decreasing ph increasing ph decreasing salt concentration increasing salt concentration

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The change in solution composition that would cause a protein to elute from a hydrophobic interaction column is an increase in salt concentration.

Hydrophobic interaction chromatography (HIC) is used to isolate hydrophobic molecules such as proteins, peptides, and nucleotides from complex mixtures. Because of the hydrophobic interactions between proteins and the stationary phase, HIC operates on the concept of reverse-phase chromatography. When compared to ion exchange chromatography, which separates molecules based on charge, HIC separates molecules based on hydrophobicity. When it comes to eluting a protein from a hydrophobic interaction column, it's necessary to consider the effects of different solutions and the influence they might have on protein binding.

What is the impact of various solution composition changes on protein elution from a hydrophobic interaction column?The pH, salt concentration, and the concentration of competing hydrophobic species in the solution are the three main factors that influence protein elution. pH, in particular, has a significant impact on hydrophobic interaction chromatography. Increasing the pH causes the protein to become more negatively charged, reducing the amount of hydrophobic interaction with the stationary phase and causing the protein to elute faster.

In contrast, lowering the pH makes the protein more positively charged, resulting in stronger hydrophobic interactions with the stationary phase, which increases retention time.A decrease in salt concentration causes proteins to elute faster from a hydrophobic interaction column because it weakens the electrostatic interactions between protein and the stationary phase, while an increase in salt concentration improves hydrophobic interaction and results in increased protein retention on the column.

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chemistry - sc3210 - t4l unit test which is the name for sio2?

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The name for SiO2 is silica.

What is SiO2?

SiO2 is the chemical formula for silicon dioxide.

Silica is the common name for silicon dioxide.

It is an oxide of silicon, and it has been known for thousands of years as a mineral named quartz.

The chemical compound's fundamental component is silicon and oxygen atoms.

SiO2 is one of the most abundant minerals on the planet and is found in a variety of forms, including sand, rocks, and quartz crystals.

For example, the silica content of sand is more than 80 percent.

Correct Option: Silica.

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most energy transfer occurs in water when it _________.

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Most energy transfer occurs in water when it convection takes place.The process of energy transfer in water is commonly known as heat transfer.

Convection, conduction, and radiation are the three mechanisms for heat transfer in fluids. They occur simultaneously in liquids, although convection usually dominates. Here are some more specifics on each type of heat transfer:Conduction:

Conduction is a mechanism of heat transfer that occurs when heat flows through a material. Water has low thermal conductivity, which means it's not a good conductor. As a result, heat conduction in water is typically slow.Convection: The flow of fluids is what characterizes convection.

Hot water, for example, rises while cold water sinks. Convection is caused by differences in fluid temperature and is the most common mode of heat transfer in liquids.Radiation: Radiation is the transfer of energy through space, and it is the most common form of heat transfer in the vacuum. When heat transfer occurs via radiation, it is unaffected by the surroundings' physical state.

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A chemical production company annually produces 500 million pounds of the chemical maleic anhydride using four different reactors. Each reactor can be run on only one of the four settings. The followi

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A chemical production company annually produces 500 million pounds of the chemical maleic anhydride using four different reactors. Each reactor can be run on only one of the four settings.

This means that each reactor contributes to the production process by running on a specific setting. The specific settings may vary depending on factors such as temperature, pressure, or other variables relevant to the production of maleic anhydride.

By utilizing all four reactors and their respective settings, the company can achieve the desired annual production of 500 million pounds. Each reactor plays a crucial role in the overall process, ensuring that the necessary quantity of maleic anhydride is produced efficiently and effectively.

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write a nuclear equation to describe the neutron-induced fission of u-235 to form kr-93 and ba-140. how many neutrons are produced in the reaction?

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The nuclear equation which describes the neutron-induced fission of U-235 to form Kr-93 and Ba-140 is given as follows:

[tex]_235U^+10n^[/tex]  →  [tex]_93Kr^ + _140Ba^ + xn^[/tex]

Here, xn represents the number of neutrons that are produced in the reaction.

To find the value of xn, we must first balance the equation. The sum of atomic numbers and the sum of the mass numbers on both sides of the reaction must be equal.

To balance the atomic number, we need to add a total of 54 protons (36 for Kr and 54 for Ba) on the right side. This means that the left side of the equation must have 54 protons as well.

Since uranium has 92 protons, we need to add 54 - 92 = -38 protons to the left side. This implies that a total of 38 neutrons must be added to the left side.

[tex]_235U^ + 10n^[/tex] →  [tex]_93Kr^ + _140Ba^ + 3n^[/tex]

Therefore, the number of neutrons produced in the reaction is 3.

The balanced nuclear equation is:

[tex]_235U^ + 10n^[/tex]  →  [tex]_93Kr^ + _140Ba^ + 3n^[/tex]

The given equation represents the nuclear fission of Uranium-235 upon neutron absorption which is a type of nuclear reaction in which the nucleus of an atom splits into two or more smaller nuclei as well as some additional particles such as neutrons and photons.

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Due to which of the following properties does molding sand adhere to the sides of the molding box?
O Permeability
O Plasticity
O Adhesiveness
O Cohesiveness

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Molding sand is an important part of the sand casting process. The sand is mixed with a binding agent such as clay and water, and then compacted around a pattern to create a mold.

The pattern is then removed, and molten metal is poured into the cavity left by the pattern to create the final part. The quality of the mold depends on the properties of the molding sand. There are a number of different properties that are important for molding sand, including permeability, plasticity, adhesiveness, and cohesiveness.

Of these, adhesiveness is the property that causes molding sand to adhere to the sides of the molding box. Adhesiveness refers to the ability of the sand particles to stick together, which is important for creating a strong and durable mold.

This property is affected by a number of factors, including the size and shape of the sand particles, the type of binder used, and the moisture content of the sand. By carefully controlling these factors, it is possible to create high-quality molds that can withstand the stresses of the casting process and produce accurate and consistent parts.

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individual covalent bonds are stronger than individual ionic bonds. (T/F)

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False, Individual covalent bonds are not stronger than individual ionic bonds.

Ionic bonds are stronger than covalent bonds. An ionic bond is a kind of chemical bond that is established between two oppositely charged ions. As a result of the transfer of electrons between atoms, ionic bonds are created. A covalent bond is a kind of bond in which two atoms share electrons to form a molecule. The bond strength of a chemical bond is the energy required to break it. Ionic bonds are stronger than covalent bonds in general.

An ionic bond is established as a result of the transfer of electrons between atoms. Electrons are exchanged between two atoms that have a significantly different electronegativity. Electronegativity is a measure of an atom's tendency to attract electrons toward itself. The difference between the electronegativity values of the two atoms determines the degree of the polarity of the ionic bond that is formed. Ionic bonds are strong because the charged ions are attracted to each other.

On the other hand, a covalent bond is formed when two atoms share electrons to form a molecule. Covalent bonds are usually weaker than ionic bonds. Covalent bonds are weaker than ionic bonds since electrons are shared and not transferred. The shared electrons are attracted to both atoms in the covalent bond.

Therefore, the statement "individual covalent bonds are stronger than individual ionic bonds" is false. Ionic bonds are stronger than covalent bonds in general.

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Estimate the number of particles in a 500-g sample of iron powder if the particle size is 50 m

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Iron powder is a type of fine powder with iron as the main ingredient, and it's used in a variety of industrial applications. Particle size is an important factor in determining the properties of iron powder.

When estimating the number of particles in a 500-g sample of iron powder, it's important to know the particle size, as it affects the number of particles that can be found in a certain amount of material.

In this case, we're told that the particle size of the iron powder is 50 m, which means that each particle has a diameter of 50 micrometers.

To estimate the number of particles in the sample, we can use the formula:

Number of particles = Mass of sample / Mass of one particle

The mass of one particle can be calculated using the density of iron (7.87 g/cm³) and the volume of a sphere with a diameter of 50 m:

Mass of one particle = Density of iron x [tex](4/3 x π x (50 µm/2)³)[/tex]

Mass of one particle = [tex]7.87 g/cm³ x (4/3 x 3.14 x (50 µm/2)³)[/tex]

Mass of one particle =[tex]2.7 x 10^-11 g[/tex]

Now we can calculate the number of particles in the sample:

Number of particles = 500 g / 2.7 x 10^-11 g

Number of particles = 1.85 x 10^16

Therefore, there are approximately 1.85 x 10^16 particles in a 500-g sample of iron powder with a particle size of 50 m.

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What is surface tension and how (and why) it is affected surfactants? be descriptive

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Surface tension is the force present on the surface of a liquid that causes it to minimize the area and form a shape with the least surface area possible. This force arises from the molecules in the bulk of the liquid being attracted to each other, whereas the surface molecules are not in contact with the air molecules above it. This force is due to a number of factors including the cohesive forces between the liquid molecules and the adhesive forces between the liquid molecules and the surrounding surfaces.

Surfactants, which are also known as surface-active agents, are a class of compounds that can reduce the surface tension of a liquid. They achieve this by concentrating at the surface of the liquid, reducing the cohesive forces between the liquid molecules and the intermolecular forces between the liquid molecules and the surface. This results in a decrease in the surface tension of the liquid.Surfactants usually have a hydrophobic (water-insoluble) and a hydrophilic (water-soluble) component. When added to a liquid, they are attracted to the surface of the liquid and form a layer with the hydrophobic ends sticking into the bulk liquid and the hydrophilic ends extending into the air or aqueous solution surrounding the liquid. This layer is known as a monolayer, and it reduces the surface tension of the liquid.A good example of how surfactants reduce the surface tension of a liquid is soap in water. The hydrophobic tail of the soap molecule sticks into the oil droplet, and the hydrophilic head sticks into the water droplet. This reduces the surface tension between the water and oil droplets, causing the soap to emulsify the oil into small droplets that can be suspended in the water.

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how many electrons are in the outer shell of oxygen

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Answer:

6

Explanation:

Answer:

6

Explanation:

The outer shell refers to the number of Valence electrons. The electron Configuration for oxygen is 2 - 6. So there are 6 electrons in the outer shell of Oxygen

A 0.035−μCi sample of P-32 is injected into a patient for tracer studies. If the nuclear half-life is 14.2 days and the biological half-life is 110 hours, how much P−32 in mCi would remain in the patients' system after 36 hours?

Answers

After 36 hours, the amount of P-32 remaining in the patient's system is 0.0000236 mCi.

In this problem, we are given that a 0.035 μCi sample of P-32 is injected into a patient for tracer studies, with a nuclear half-life of 14.2 days and a biological half-life of 110 hours. We need to determine how much P-32 will remain in the patient's system after 36 hours.

First, we calculate the decay constant (λ) of P-32 using the formula: λ = 0.693 / t1/2, where t1/2 is the half-life of P-32.

λ = 0.693 / 14.2 days (1 day = 24 hours)

λ = 0.0488 / day

Next, we find the fraction of P-32 that will decay in 36 hours by dividing the time elapsed by the biological half-life:

Time elapsed / biological half-life = fraction of P-32 that will decay in that time

36 hours / 110 hours = 0.327

To determine the fraction of P-32 remaining in the patient's system after 36 hours, we subtract the decayed fraction from 1:

1 - 0.327 = 0.673

Finally, we calculate the remaining P-32 activity in μCi by multiplying the initial activity (0.035 μCi) by the fraction remaining:

0.035 μCi x 0.673 = 0.0236 μCi

Converting this value to mCi (1 mCi = 1,000 μCi), we get:

0.0236 μCi = 0.0000236 mCi

Therefore, after 36 hours, the amount of P-32 remaining in the patient's system is 0.0000236 mCi. This indicates that almost all of the P-32 would have decayed by that time, as 36 hours represents approximately one-third of the biological half-life. The patient would be safe and free from any harmful effects of radiation.


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