Question

10.0 L of an ideal diatomic gas at 2.00 atm and 275 K are contained in a cylinder with a piston. The gas first expands isobarically to 20.0 L (step 1). It then cools at constant volume back to 275 K (step 2), and finally contracts isothermally back to 10.0 L (step 3).

a) Show the series of processes on a pV diagram.

b) Calculate the temperature, pressure, and volume of the system at the end of each step in the process. Indicate the p and V values on the pV diagram.

c) Compute the total work done by the gas on the piston during each step of the cycle in L-atm, and the total work done by the gas for one complete cycle.

d) Compute the heat added during each step of the cycle in L-atm, and the net heat added for one cycle. Compare the total work done with the net heat added.

e) Is this an engine or a refrigerator? If it is an engine, what is its efficiency; if it is a refrigerator, what is its coefficient of performance?

Answer #1

14.3 10.0 L of an ideal diatomic gas at 2.00 atm and 275K are
contained in a cylinder with a piston. The gas first expands
isobarically to 20.0 L (step 1). It then cools at constant volume
back to 275 K (step 2), and finally contracts isothermally back to
10.0 L (step 3). a) Show the series of processes on a pV diagram.
b) Calculate the temperature, pressure, and volume of the system at
the end of each step in...

14.3 10.0 L of an ideal diatomic gas at 2.00 atm and 275K are
contained in a cylinder with a piston. The gas first expands
isobarically to 20.0 L (step 1). It then cools at constant volume
back to 275 K (step 2), and finally contracts isothermally back to
10.0 L (step 3).
a) Show the series of processes on a PV diagram.
b) Calculate the temperature, pressure, and volume of the system
at the end of each step in...

A cylinder contains an ideal gas at the temperature of 300 K and
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returning to its initial volume of 30 L. Calculate the work done by
gas: a) in isothermal expansion; b) in isobaric compression, c) in
the whole process; and d) Calculate...

Please solve the following problems. You must show all work.
1. A 10.0 cm radius piston compresses
a gas isothermally from a height of 15.0 cm to 2.50 cm at a
constant pressure of 2.0 atm.
a) How much heat was added to the
gas?
b) Now if 7000 J of heat is added to
the system and the piston is only moves 5.0 cm up, what is the
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2.)1.0 mol sample of an ideal monatomic gas originally at a
pressure of 1 atm undergoes a 3-step process as follows:
(i) It expands
adiabatically from T1 = 588 K to T2 = 389 K
(ii) It is compressed at
constant pressure until its temperature reaches T3 K
(iii) It then returns to its
original pressure and temperature by a constant volume process.
A). Plot these processes on a PV diagram
B). Determine the temperature T3
C)....

A 0.505-mol sample of an ideal diatomic gas at 408 kPa and 309 K
expands quasi-statically until the pressure decreases to 150 kPa.
Find the final temperature and volume of the gas, the work done by
the gas, and the heat absorbed by the gas if the expansion is the
following.
(a) isothermal
final temperature K
volume of the gas
L
work done by the gas
J
heat absorbed
J
(b) adiabatic
final temperature K
volume of the gas L...

A three-step cycle is undergone by 3.8 mol of an ideal diatomic
gas: (1) the temperature of the gas is increased from 230 K to 710
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pressure back to its original volume. Throughout the cycle, the
molecules rotate but do not oscillate. What is the efficiency of
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a machinr carries 2 moles of an ideal diatomic gas
thay is initially at a volume of 0.020 m^3 and a temperature of 37
C is heated to a constant volumes at the temperature of 277 C is
allowed to expand isothermally at the initial pressure, and finally
it is compressed isobarically to its original volume, pressure and
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1. determine the amount of heat entering the system during the
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2. calculate the net work affected by the gas...

A 0.520-mol sample of an ideal diatomic gas at 432 kPa and 324 K
expands quasi-statically until the pressure decreases to 144 kPa.
Find the final temperature and volume of the gas, the work done by
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a) isothermal and adiabatic final temperature volume of the gas
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K=?, L=?, work done?, heat absorb?

A 1.79 mol diatomic gas initially at 274 K undergoes this cycle:
It is (1) heated at constant volume to 707 K, (2) then allowed to
expand isothermally to its initial pressure, (3) then compressed at
constant pressure to its initial state. Assuming the gas molecules
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gas), (b) the net work done by the gas, and (c)...

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