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a) Consider a sample of 10.9 L at 12.8 bar of hydrogen gas at 82.99°C. To what t

ID: 1879149 • Letter: A

Question

a) Consider a sample of 10.9 L at 12.8 bar of hydrogen gas at 82.99°C. To what temperature must this sample be cooled in order to reduce its pressure to 6.5 bar? Assume the volume to be constant. Give your answer in °C.

b) At the start, there is one container with 1.3 L of He gas at 0.55 bar and 12.3°C and another container with 1.0 L of H2 gas at 0.81 bar and 65.1°C. The two containers are brought in contact to reach thermal equilibrium inside an isolated system. Neither the container walls nor any other part of that system other than the 2 gases themselves have any appreciable heat capacity. The volumina of the containers are constant, and there is no mixing, just thermal contact. What is the final pressure (in bar) in the container of He gas once thermal equilibrium is reached between the two containers?

Explanation / Answer

a) using the equation we have

P1/T1 = P2/T2

12.8 / (273 + 82.99) = 6.5 / T2

T2 = 180.77 K

= 273 - 180.77 - 92.22 oC