Consider an insulated ideal gas, such that no heat energy can enter or leave. It is slowly compressed to 96% of its original volume, and its temperature rises correspondingly.
(a) What is the change in its entropy?
(b) An increase in temperature indicates more thermal motion and larger momenta. That would imply that the particles have more accessible room in momentum space with a corresponding increase in number of accessible quantum states. How, then, can you justify your answer to part (a)?
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