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In operational terms, describe how to carry out each processisobaric compressionPut the cylinder into a bath at temperature T. Slowly push the piston in.Place the cylinder on a hotplate at temperature 2T. Let the piston move freely as the gas heats.Place the cylinderon a hotplate at temperature 2T. Hold the piston in place.Put the cylinder into a refrigerator at temperature T/2. Hold the piston in place.as the gas coolsPut the cylinder into a refrigerator at temperature T/2. Let the piston move freelyisothermal compressionPut the cylinder into a refrigerator at temperature T/4. Let the piston move freely as the gas coolsPut the cylinder into a bath at temperature T. Slowly pull the piston out.Put the cylinder into a bath at temperature T. Slowly push the piston in.Place the cylinder on a hotplate at temperature 4T. Let the piston move freely as the gas heats.Put the cylinder into a refrigerator at temperature T/4. Hold the piston in place.isovolumetric processPlace the cylinder on a hotplate at temperature 3T. Let the piston move freely as the gas heats.Put the cylinder into a refrigerator at temperature T/3. Hold the piston in place.Place the cylinder on a hotplate at temperature 3T. Hold the piston in placePut the cylinder into a bath at temperature T. Slowly push the piston in.Put the cylinder into a refrigerator at temperature T/3. Let the piston move freely as the gas cools Identify each process on the PV diagram belowProcess A is isobaric. Process B is isovolumetric. Process C is isothermal.Process A is isothermal. Process B is isobaric. Process C is isovolumetric.Process A is isovolumetric. Process B is isobaric. Process C is isothermalProcess A is isobaric. Process B is isothermal. Process C is isovolumetric.Process A is isovolumetric. Process B is isothermal. Process C is isobaric.

Question

One mole of an ideal gas is contained in a cylinder with a movable piston. The initial pressure, volume, and temperature are PiVi, and Ti, respectively. Consider each of the following processes:

· isobaric compression in which the final volume is one-half the initial volume
· isothermal compression in which the final pressure is four times the initial pressure
· isovolumetric process in which the final pressure is three times the initial pressure


Find the work done on the gas in each process. (Use the following as necessary: Pi and Vi.)

isobaric compression:     W =
 
 
 
 
isothermal compression:     W =
 
 
                
isovolumetric process:     W =
 
 
 
In operational terms, describe how to carry out each process
isobaric compression
Put the cylinder into a bath at temperature T. Slowly push the piston in.
Place the cylinder on a hotplate at temperature 2T. Let the piston move freely as the gas heats.
Place the cylinder
on a hotplate at temperature 2T. Hold the piston in place.
Put the cylinder into a refrigerator at temperature T/2. Hold the piston in place.
as the gas cools
Put the cylinder into a refrigerator at temperature T/2. Let the piston move freely
isothermal compression
Put the cylinder into a refrigerator at temperature T/4. Let the piston move freely as the gas cools
Put the cylinder into a bath at temperature T. Slowly pull the piston out.
Put the cylinder into a bath at temperature T. Slowly push the piston in.
Place the cylinder on a hotplate at temperature 4T. Let the piston move freely as the gas heats.
Put the cylinder into a refrigerator at temperature T/4. Hold the piston in place.
isovolumetric process
Place the cylinder on a hotplate at temperature 3T. Let the piston move freely as the gas heats.
Put the cylinder into a refrigerator at temperature T/3. Hold the piston in place.
Place the cylinder on a hotplate at temperature 3T. Hold the piston in place
Put the cylinder into a bath at temperature T. Slowly push the piston in.
Put the cylinder into a refrigerator at temperature T/3. Let the piston move freely as the gas cools
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In operational terms, describe how to carry out each process isobaric compression Put the cylinder into a bath at temperature T. Slowly push the piston in. Place the cylinder on a hotplate at temperature 2T. Let the piston move freely as the gas heats. Place the cylinder on a hotplate at temperature 2T. Hold the piston in place. Put the cylinder into a refrigerator at temperature T/2. Hold the piston in place. as the gas cools Put the cylinder into a refrigerator at temperature T/2. Let the piston move freely isothermal compression Put the cylinder into a refrigerator at temperature T/4. Let the piston move freely as the gas cools Put the cylinder into a bath at temperature T. Slowly pull the piston out. Put the cylinder into a bath at temperature T. Slowly push the piston in. Place the cylinder on a hotplate at temperature 4T. Let the piston move freely as the gas heats. Put the cylinder into a refrigerator at temperature T/4. Hold the piston in place. isovolumetric process Place the cylinder on a hotplate at temperature 3T. Let the piston move freely as the gas heats. Put the cylinder into a refrigerator at temperature T/3. Hold the piston in place. Place the cylinder on a hotplate at temperature 3T. Hold the piston in place Put the cylinder into a bath at temperature T. Slowly push the piston in. Put the cylinder into a refrigerator at temperature T/3. Let the piston move freely as the gas cools

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Identify each process on the PV diagram below
Process A is isobaric. Process B is isovolumetric. Process C is isothermal.
Process A is isothermal. Process B is isobaric. Process C is isovolumetric.
Process A is isovolumetric. Process B is isobaric. Process C is isothermal
Process A is isobaric. Process B is isothermal. Process C is isovolumetric.
Process A is isovolumetric. Process B is isothermal. Process C is isobaric.
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Identify each process on the PV diagram below Process A is isobaric. Process B is isovolumetric. Process C is isothermal. Process A is isothermal. Process B is isobaric. Process C is isovolumetric. Process A is isovolumetric. Process B is isobaric. Process C is isothermal Process A is isobaric. Process B is isothermal. Process C is isovolumetric. Process A is isovolumetric. Process B is isothermal. Process C is isobaric.

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check_circleAnswer
Step 1

Work done for isobaric compression: 

Work done on the gas in is obaric compression is
W PdV
= P(V,-V)
= P(-V,)
РИ,
2
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Work done on the gas in is obaric compression is W PdV = P(V,-V) = P(-V,) РИ, 2

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Step 2

Work done for isothermal compression: 

Work done on the gas in isothermal compression is
V
W RT ln
и
PV nRT
as
and PV, nRT,
Thus, PV P,Vi
Р.
4P
V
4
or
V
4P
[it is given that P,
f
Thus, W RT In
И
or, W RTln
4
or, W -RT In 4
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Work done on the gas in isothermal compression is V W RT ln и PV nRT as and PV, nRT, Thus, PV P,Vi Р. 4P V 4 or V 4P [it is given that P, f Thus, W RT In И or, W RTln 4 or, W -RT In 4

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Step 3

Work done for isovolumetric pro...

The isovolumetric process is a thermodynamic process that
takes place at constant volume thus no work is done on or
by the system
W PdV 0
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The isovolumetric process is a thermodynamic process that takes place at constant volume thus no work is done on or by the system W PdV 0

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