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5 moles of N2, gas at 5 atm pressure contained in 100 L cylinder absorbed 30.26 kJ of heat when it is expanded to 200 L at 2 atm. What is change in internal energy of gas in kJ?

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answer is 20.13.

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Detailed Solution

Work done by gas on expansion from 100 L to 200 L at 5 atm pressure to 2 atm pressure:w=−P2V2−P1V1=−(2×200−5×100)=−10.13kJq=30.26kJΔU=q+w=30.26−10.13=20.13kJ
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