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First law of thermodynamics, heat capacity

Problem 2.32

Two moles of a certain ideal gas at a temperature T0=300 KT_{0}=300 \mathrm{~K} were cooled isochorically so that the gas pressure reduced n=2.0n=2.0 times. Then, as a result of the isobaric process, the gas expanded till its temperature got back to the initial value. Find the total amount of heat absorbed by the gas in this process.

Reveal Answer
Q=vRT0(1−1/n)=2.5 kJQ=v R T_{0}(1-1 / n)=2.5 \mathrm{~kJ}
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