During a compression at a constant pressure of 250Pa, the volume of an ideal gas decreases from 0.80m3 to 0.20m3. The initial temperature is 360K, and the gas loses 210J 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 90K.