1dm3 of an ideal gas at a pressure of 10 bar expands reversibly and isothermally to final volume of 10 litre. What will be the heat absorbed in the process? (ln 10 = 2.3)
A
1.15 kJ
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B
4.6 kJ
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C
2.3 kJ
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D
9.2 kJ
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Solution
The correct option is C 2.3 kJ ΔU=0⇒q=−w
w=−nRTlnV2V1=−P1V1 In V2V1
=−10×1ln101
=−10×2.3 bar - lit
=−23×105×10−3=−2300J Hence, the required answer is 2.3 kJ.