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Question

One mole of an ideal gas expands isothermally and reversibly from 100 atm to 10 atm at 300K. The largest mass that can be lifted through a height of 1 meter in this expansion (in kg) is  (Take R = 25/3 J/molK, 1/12 latm/molK, g = 10 m/s2)


Solution

Work done by the system=nRTlogP1P2
=25/3×300 J
2500=M×g×Δh
M=250 kg

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