a) Find the internal energy change in a system consisting of one mol of a monoatomic ideal gas expanding from V0 to 2V0 along the path P = aV2, where a is a positive constant. The initial pressure and temperature are P0 and T0. b) Find the change in the entropy of the gas during this process. c) What is the change in the entropy of the environment during the same process?

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a) Find the internal energy change in a system consisting of one mol of a
monoatomic ideal gas expanding from V0 to 2V0 along the path P = aV2, where a is a positive constant. The initial pressure and temperature are P0 and T0.

b) Find the change in the entropy of the gas during this process.

c) What is the change in the entropy of the environment during the same process?

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The energy change is 3a(15v^4)/8

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