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Fundamentals of thermodynamics

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Question

One mole of an ideal gas is heated at constant pressure from 0°C to 100°C. If the gas were expanded isothermally and reversibly at O°C from 1 atm to some other pressure Pt what must be the final pressure if the maximum work is equal to the work involved in (a)?

Moderate
Solution

Now the work equivalent to 198.7 cal is used up in causing reversible isothermal expansion of gas at 0°C, then

WR=2.303nRTlog10P1P2198.7=2.303×1×1.987×273log101PtPt=0.694atm


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