An initially deflated and flat balloon is connected by a valve to a storage tank containing helium gas at 1 MPa at ambient temperature of 20 degrees C. The valve is open and the balloon is inflated at constant pressure of 100 kPa (atmospheric pressure) until it becomes spherical at D1 = 1m. If the balloon is larger than this, the balloon material is stretched giving a pressure inside as:


P = Po + C(1-(D1/D))(D1/D)


The balloon is slowly inflated to a final diameter of 4m, at which point the pressure inside is 400 kPa. The temperature remains constant at 20 degrees C. Determine the work done during the overall process.

Answers

Answer 1

Answer:

14660.75 kJ.

Explanation:

We are given from the question above that the pressure inside is represented by this equation:

P = Po + C(1-(D1/D))(D1/D).

Thus, P = 100 + C (1 - 1/4) (1/4). Therefore, P  which is = 400 is;

400 = 100 + C (1 - 1/4) (1/4).

Hence, C = 1600. And the equation can be written as P = 100 + 1600 (1 - (D1/D))(D1/D).

The work done during the entire process, w = (work done during the process 1 to 2) + (work done duringbthe process 2 to 3 ).

Therefore, work done during the process 1 to 2 = P(V2 + V1) = 100( π/6 - 0).

{NB: V2 is gotten from π/6 × D^3. Where D^3 = 1. }

Hence, work done during the process 1 to 2 = 52.36 kJ.

So, the work done duringbthe process 2 to 3 ) is going to be the integration of PdV. Where P = 100 + 1600 (1 - (D1/D))(D1/D) and dV = π/2 D^2 dD. Taking the upper and the lower limit as 4 and 1 respectively.

After the integration (kindly check attached picture for the process) the work done duringbthe process 2 to 3  = 14.61 × 10^3 kJ.  

Therefore, The work done during the entire process, w = (work done during the process 1 to 2) + (work done duringbthe process 2 to 3 ).

The work done during the entire process, w = 52.36 kJ + 14.61 × 10^3 kJ.   = 14660.75 kJ.

An Initially Deflated And Flat Balloon Is Connected By A Valve To A Storage Tank Containing Helium Gas

Related Questions

Which section of the periodic table has properties of both a metal and a nonmetal?

Answers

Answer:

The metalloids are a unique group of elements that share properties of both metals and nonmetals. They're also called the semimetals because of the shared properties of these elements along the dividing line between metals and nonmetals.

Elements: Arsenic

Explanation:

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In the formula Depth= V(T/2), why is the T (time) divided by 2?

Answers

The time taken is 2x the depth of the sea

Further explanation  

Linear motion consists of 2: constant velocity motion with constant velocity and uniformly accelerated motion with constant acceleration  

An equation of constant velocity motion  

[tex]\large {\boxed {\bold {x = v \times \: t}}}[/tex]

x = distance = m  

v = speed = m / s  

t = time = seconds  

The principle used in measuring depth is to use the reflection of sound waves emitted by the instrument towards the bottom of the sea. The sound will be reflected and received back by the instrument. So that the time taken is 2x the depth of the sea (emitted time + reflected time), so that the calculation of the depth distance must be divided by 2

Lucas and Will are in an arm wrestling match. Lucas is pushing with a force of 55 Newtons. Will is pushing with a force of 62 Newtons. Who would win the arm wrestling match? Explain why. Use at least 3 complete sentences using vocabulary and examples from the lessons:

Answers

Answer:

This question is incomplete.

Explanation:

However, Will should win the match if other conditions are the same between the two of them. This is because Will is pushing with a higher force (of 62 Newtons). This is because the higher the force, the higher the workdone. The formula associated to the workdone here is

Workdone = Force × distance

Where are elements located based on their mass?

Answers

Answer:

they are located on the abbism

The best example of an energy transformation is ?

Answers

Answer:

riding a bicycle or running!

Explanation:

You can not use energy driving! riding a bike is exercise and running is also

Hope it helped luv ;)

Which of the following provides the best explanation for the chemical similarities
between sodium and potassium?
A:Both are solids at room temperature.
B:Both have the same number of occupied energy levels
C;Both have one valence electron.
D:Both have average atomic masses between 20 and 40 amu.

Answers

Answer:

C ;Both have one valence electron.

Explanation:

Elements classified to be in the same group in the periodic table possess the same number of valence electrons. This means that they will react the same way with other elements as they require the same number of electrons to fill their electron shell.

This is the case of sodium (Na) and potassium (K) which both belongs to group 1. This means that they have one valence electron in their outermost shell. Hence, this accounts for the reason they both will behave chemically similar to one another.


How many atoms of N are there in 30.0 g of NH4NO3?

Answers

Molar mass of NH4NO3 = 80gm/mol
#moles = mass/molar mass = 30/80= 0.375moles
No. of atoms = 2 x 6.023 x 0.375 x 10^23
=4.52 x 10^23 atoms

the balanced chemical equation for one neutralization reaction. In your equation, which reactant contributed the salt's positive ion? Which one contributes the salt's negative ion?

Answers

Answer:

See the answer below

Explanation:

A neutralization reaction is a reaction that involves acid and base with the production of salt and water as the end products. An example is as below:

HCl + NaOH --> NaCl + H2O

The salt produced here is NaCl. In solution, NaCl will ionize as:

[tex]NaCl --> Na^+ + Cl^-[/tex]

Hence, the salt's positive ion (Na+) was contributed by the base (NaOH) while its negative ion (Cl-) was contributed by the acid (HCl).

Which of the following is true about the organization of living
things?
a
cells are organized into tissues
b tissues are organized into cells
С
organs are organized into organelles
d
organ systems are organized into tissues

Answers

a.) cells are organized into tissues

Is the c2cl4 molecule polar

Answers

Answer:

no

Explanation:

A NON-polar, totally symmetrical molecule like C2Cl4, known as tetrachloroethene, is used for DRY CLEANING clothes because it attracts to the non-polar grease stains that are NOT effectively removed by polar water molecules. The dry cleaning process is NOT dry at all (C2Cl4 is a liquid).

According to the molecular geometry,as C₂Cl₄ molecule is symmetrical it is non-polar.

What is molecular geometry?

Molecular geometry can be defined as a three -dimensional arrangement of atoms which constitute the molecule.It includes parameters like bond length,bond angle and torsional angles.

It influences many properties of molecules like reactivity,polarity color,magnetism .The molecular geometry can be determined by various spectroscopic methods and diffraction methods , some of which are infrared,microwave and Raman spectroscopy.

They provide information about geometry by taking into considerations the vibrational and rotational absorbance of a substance.Neutron and electron diffraction techniques provide information about the distance between nuclei and electron density.

Learn more about molecular geometry,here:

https://brainly.com/question/24232047

#SPJ2

Given .20 mol C3H3, how many moles of CO2 will be produced? C3H8 +02 -> CO2
+ H2O

Answers

Explanation:

20 molecules of C3H8 react with _100_ molecules of O2 to produce _60_ molecules of CO2 and

_80_ molecules of H2O. Use stoichiometric ratios from the balanced equation.

Hope this helps!

Complete the following equations (note that the equations are not balanced). Use the activity series if
necessary.
Li>K> Ba > Sr > Ca > Na > Mg > AI > Mn > Zn > Cr> Fe > Cd >
CO > Ni > Sn > Pb > H > Sb > Bi > Cu > Ag > Pd > Hg > Pt> Au
C3H2 +02 →?
C + H20
CH3OH + H2
CO2 + H2O
Chemistry

Answers

Answer:

CO2+H20 for the first question, AlCl3 + Ag for the second or C and B

Explanation:

I am looking at it right now on Edge

c) CO₂ + H₂O

C₃H₈+O₂→ CO₂ + H₂O

Explanation:

Firstly we need to know about combustion, it is a chemical process which involves the reaction of a substance with oxygen.

The chemical reaction given below represents the combustion of propane which yields to the production of carbon dioxide and water molecule.

C₃H₈+O₂→ CO₂ + H₂O

The balanced chemical reaction is represented below:

C₃H₈ +5O₂ → 3CO₂ + 4H₂O

Learn more:

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Plz help!

Sodium and Iodine combine to form an ionic compound. Sodium contains 1 valence electron and iodine has 7. Which is going to be the one to lose an electron and which will gain an electron to form ions and create the bond?

Answers

Answer: Ionic compounds/bonds don’t lose electrons. They transfer electrons

Explanation: Sodium is going to get the +7 charge and Iodine will not need to have a charge beside it. Your formula should look like this Na7I

what is the scientific definition of heat?

Answers

Answer:

Most of us use the word 'heat' to mean something that feels warm, but science defines heat as the flow of energy from a warm object to a cooler object. ... Heat energy is the result of the movement of tiny particles called atoms, molecules or ions in solids, liquids and gases

Henry is in the community investigating sources of chemical energy for his science experiment. Select the best examples of chemical energy Henry can use.

Answers

Answer:

This question is incomplete, the options to this question are:

(A)A gas station and people playing hopscotch

(B)A squirrel eating acorns and a fire burning

(C)Someone reading a book and eating a sandwich

(D)Someone sliding down the slide and someone drinking water

The answer is B

Explanation:

Energy, which cannot be created nor destroyed according to the law of conservation of energy, exists in different forms. These forms of energy are, however, interconvertible. According to this question, Henry is in the community investigating sources of chemical energy for his science experiment.

Chemical energy is one of the forms of energy produced or used up during chemical reactions. Based on the options provided, the best examples of chemical energy Henry can use is "A squirrel eating acorns and a fire burning".

- A squirrel eating acorns is a source of chemical energy Henry can use because chemical energy are stored in the bonds of the food molecule (acorns).

- A fire burning is another source of chemical energy because burning is a chemical process.

Which organ contracts and causes pressure change in the chest cavity during breathing?

diaphragm

lungs

trachea

bronchus

Answers

Answer:

Diaphragm

Explanation:

I hope this helps!!

I NEED HELP!!! PLEASE HELP ME!!
A store owner needs to hire several new employees to help
with growing demand during the holiday season. Since
many other stores are also hiring at this time of year, the
owner decides to offer each new employee a holiday
bonus and a fairly high hourly wage to make sure she can
attract top candidates.
The passage is most focused on which factor of production?
O A. Labor
O B. Land
O C. Entrepreneurship
O D. Capital

Answers

Answer:

A

Explanation:

The amount of work is a strong factor that changes production.

How many total hydrogen atoms are there in the compound CH3(CH2)2CH3

Answers

Answer:

10 atoms of hydrogen

Explanation:

The atom of an element refers to the smallest indivisible substance of that element that retains its chemical properties. The atoms of an element combine to form a molecule, which then combines with atoms of other elements to form a compound.

In this case, CH3(CH2)2CH3 is a given organic compound. The number of hydrogen atoms can be determined thus:

H represents one hydrogen atom

- We have H3 - 3 atoms

- We have (H2)2 - 4 atoms

- We have H3 - 3 atoms

Altogether, this gives a total of 10 hydrogen atoms in the CH3(CH2)2CH3 compound.

You have 2.30 cm3 of Pt. Platinum is selling for $28.10/gram. How much Platinum do you have? Density of platinum is 21.45 g/cm3.

Answers

Yeah I’m pretty sure it’s a little girl I don’t think I have a bad thing I just got a hold on her my phone back to her phone and I was just saying I was just a little bit mad at her I was just wondering

What does the kinetic theory state about the relationship between the speed and temperature of gas molecules?
ОА. .
As the temperature increases, the speed of gas molecules remains constant.
OB
As the temperature increases, the speed of gas molecules decreases,
ОС. .
As the temperature increases, the speed of gas molecules increases.
OD
As the speed of gas molecules increases, the temperature becomes constant.
OE
As the temperature decreases, the speed of gas molecules increases.

Answers

Answer:

The kinetic molecular theory can be used. Temperature is increased, so the average kinetic energy and the rms speed should also increase. This means that the gas molecules will hit the container walls more frequently and with greater force because they are all moving faster.

Explanation:

what is robert hooks main contribution to science?

Answers

He contributed to the discovery of cells while looking at a thin slice of cork. He then thought that cells only exist in plants and fungi. In 1665, he published Micrographia.

Answer:

Hi,if its a man by the name of Robert Hooke your looking for information about this is what I found online.Robert Hooke was a English Physicist.He contributed to the discovery of cells while looking at a thin slice of cork. He then thought that cells only exist in plants and fungi.Also in 1665, he published Micrographia.

Hope this is helpful.

Explanation:

How do I calculate the density of benzene if 0.10L has a mass of 36.4g

Answers

You multiply them together so it would be 3.64

How many moles are in 9.01 g Be

Answers

5 moles is the answer

Answer:

1 mol Be

Explanation:

First look at periodic table. Be (Beryllium) has an atomic mass of 9.012

1 mole of Be atoms = 9.012 g Be (this is your conversion factor)

Start with what you are given: 9.01 b Be. Then look at the periodic table. Be has an atomic weight of 9.012g. In order to cancel out the g place how you see here, cross out the g and your are left with mole Be on top. divide 9.01 by 9.012 to get .99977807. round that to 1 mol Be

[tex](\frac{9.01 g Be}{1} )(\frac{1moleBe}{9.012 gBe} )=.99977807 moleBe[/tex]

Which contains the most number of total atoms?
CH1206
CO2
2H2O
MO

Answers

Answer:

ch1206

Explanation:

it definitely is

State the factors that supports
rusting.​

Answers

Answer:

water and oxygen

Explanation:

only iron and iron alloys can rust whereas other elements corrode. for rusting to happen, 2 substances need to be present: water and oxygen

Answer:

Metal[Iron]+Water+air[Oxygen]-->Rusting

Explanation:

Rusting is an oxidation reaction.The iron reacts with oxygen and water to form hydrated iron[III]oxide.which is seen as rust due to the change in color [to brown]

why do scientists look for patterns in the world

Answers

Answer:

So if they find something that looks illogical they can find thing that are loggical and see if there just put together

Explanation:

How do hydrogen bonds compare with other intermolecular forces?
A. Hydrogen bonds are stronger than dipole-dipole and van der waals forces.

B. Hydrogen bonds are weaker than dipole-dipole and Van der Waals forces

C. Hydrogen bonds are weaker than dipole-dipole forces but stronger than Van der Waals forces.

D. Hydrogen bonds are stronger than dipole-dipole forces but weaker than Van der Waals forces.

Answers

Answer: A

Explanation: Hydrogen bonds compare with other intermolecular forces because of that fact that they are stronger than other Van Der Waals forces. So, the answer to the question should be A.

Hope this helps!

Answer: it's A

Explanation: finished the quiz

Describe a basic system model.

Answers

Answer:

A systems model is a process-oriented representation that emphasizes influences, or flow, of information between modules. A systems model describes how processes interact and what operations these processes perform, but it does not go into details as to how these processes are implemented.

In a gas, properties such as density and temperature will affect the speed of a wave. For instance, particles in dense, cold air will move a lot slower than particles in hot air. options: True False

Answers

Answer:true

I hope this helped! if you need explanation just ask.

I need some help please

Answers

Answer:

It is an unstable atom

It would have neutral charge

It would have 8 neutrons

Explanation:

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