A gas that can be described by the ideal gas model is contained in a cylinder of

Question

A gas that can be described by the ideal gas model is contained in a cylinder of volume V. The temperature of the gas is T. The particle mass is m, and the molar mass is M.

A) Write an expression for the total thermal energy of the gas. Express your answer in terms of the variables m, M, T, and appropriate constants.

B) Now, imagine that the exact same gas has been placed in a container of volume 2V. What happens to its pressure? Express your answer in terms of P1.

C) What happens to its temperature? Express your answer in terms of T1.

D) What happens to its thermal energy? Express your answer in terms of U1.

Explanation / Answer

A) total energy = 1.5 nRT n is no. of moles, R is gas constant

B) P' = P1/2

C) T' = T1

D) U' = U1

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