A cylinder with a frictionless, movable piston like that shown in the figure, contains a quantity of helium gas. Initially the gas is at a pressure of 1.00×105Pa, has a temperature of 300K, and occupies a volume of 1.50L. The gas then undergoes two processes. In the first, the gas is heated and the piston is allowed to move to keep the temperature equal to 300K. This continues until the pressure reaches 2.50×104Pa. In the second process, the gas is compressed at constant pressure until it returns to its original volume of 1.50L. Assume that the gas may be treated as ideal. a. Find the temperature of the gas at the end of the second process.b. Find the total work done by the gas in the first process.c. Find the total work done by the gas in the second process.

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Asked Nov 13, 2019
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A cylinder with a frictionless, movable piston like that shown in the figure, contains a quantity of helium gas. Initially the gas is at a pressure of 1.00×105Pa, has a temperature of 300K, and occupies a volume of 1.50L. The gas then undergoes two processes. In the first, the gas is heated and the piston is allowed to move to keep the temperature equal to 300K. This continues until the pressure reaches 2.50×104Pa. In the second process, the gas is compressed at constant pressure until it returns to its original volume of 1.50L. Assume that the gas may be treated as ideal.

 

a. Find the temperature of the gas at the end of the second process.

b. Find the total work done by the gas in the first process.

c. Find the total work done by the gas in the second process.

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Expert Answer

Step 1

Given,

1x10 Pa
T 300 K
V 1.50L-1.50x 103 m3
P 250x10 Pa
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1x10 Pa T 300 K V 1.50L-1.50x 103 m3 P 250x10 Pa

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Step 2

According to Ideal gas equation,

РИ _Ру,
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РИ _Ру,

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Step 3

Part (a):

For first process, temperature is constant so it will be an i...

РИ - Ру,
(1x10')(1.50x103)-(2.50x10 )K
3
2 6x103
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РИ - Ру, (1x10')(1.50x103)-(2.50x10 )K 3 2 6x103

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