Part A Find the volume of the gas at the end of the first process. A cylinder wi

Question

Part A Find the volume of the gas at the end of the first process. 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 tempersture of 300 K, and occupies a volume of 1.50 L. 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 300 K. This continues until the pressure process, returns to its original volume of 1.50 L. Assume that the pressure of 1.00 x 10 Pa, has a reaches 2.50 x 104 Pa. In the second pressure until the gas is compressed at constant Submit My Answers Give Up gas may be treated as ideal. Part B Find the pressure of the gas at the end of the second Pa Submit My Answers Give Up Part C Find the temperature of the gas at the end of the second process. Submit My Answers Give Up Part D Find the total work done by the gas in the first process. Figure 1 of! My Answers Give Up Part E Find the total work done by the gas in the second process. My Answers Give Up

Explanation / Answer

a)

here by using the formula

v2 = v1 * p1 /p2

v2 = (1.5 * 1 * 10^5) / ( 2.5 * 10^4)

v2 = 6 L

b)

the final pressure is given by

p3 = p2 = 2.5 * 10^4 Pa

c)

the final volume is the same as the initial volume

T3 = T1 * ( p3 / p1)

T3 = 300 * 2.5 * 10^4 / 1 * 10^5

T3 = 75 K

d)

the work done in the first process is

w1 = 1 * 10^5 * 1.5 * 10^-3 * ln( 1 * 10^5 / 2.5 * 10^4)

w1 = 208 J

then for the second process

p2* ( v3 - v2 ) = p2 * ( v1 - v2 ) = p2 * v1 * ( 1 - ( p1 / p2))

the total work done is 208 - 113 = 95 J

the w2 = 113 J

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