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An ideal gas has a temperature-independent molar specific heat cv at constant volume.Let gama=cp/cv denote the ratio of its specific heats.The gas is thermally insulated and is allowed to expand quasi-staically from an initial volume Vi at temperture Ti to a final volume Vf.

a) Use the reation pV^Gama=constant to find the final temperature Tf of this gas.

b) use the fact that the entropy remaine constant in this process to find the final temperature Tf.

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