We have some gas in a container at high pressure. The volume of the container is

Question

We have some gas in a container at high pressure. The volume of the container is 484 cm3 . The pressure of the gas is 2.52 × 105 Pa. We allow the gas to expand at constant temperature until its pressure is equal to the atmospheric pressure, which at the time is 0.857 × 105 Pa. (a) Find the work (J) done on the gas. (b) Find the change of internal energy (J) of the gas. (c) Find the amount of heat (J) we added to the gas to keep it at constant temperature. Be sure to include the correct signs on the answers.

Explanation / Answer

V1 = 484 cm3

P1 = 2.52 x 105 Pa

P2 = 0.857 x 105Pa

P1V1 = P2V2

V2 = P1V1/P2 = 1423.2 cm3

W = P1V1(2.303 log(V2/V1))

W = 131.58 J

b) change in internal energy = 0 as there is no change in temperature.

c) Q = dU +W

Q = W = 131.58 J

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