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Question

During a compression at a constant pressure of 250 Pa, the volume of an ideal gas decreases from 0.80 m3 to 0.20 m3. The initial temperature is 360 K, and the gas loses 210 J as heat. What are the final temperature of the gas?

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Solution

From the ideal gas equation PiVi=PfVf
Since the pressure (and also the number of moles) don't change in this process, then the volume is simply proportional to be (absolute) temperature. Thus, the final temperature is 1/4 of the initial temperature. The answer is 90 K.

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