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Question: Answered & Verified by Expert
Calculate the work (in \( \mathrm{kJ} \) ) of an isobaric reversible expansion of three moles of an ideal gas while it is heated from \( 298 \mathrm{~K} \) to \( 400 \mathrm{~K} \).
ChemistryThermodynamics (C)JEE Main
Solution:
1676 Upvotes Verified Answer
The correct answer is: -2.54

For an isobaric reversible expansion of an ideal gas,

The work done, W=-Pext(V2 -V1)

But, Pext=P1=P2 for an isobaric process.

From the ideal gas equation,

V =nRTP

So, the work done W=-PnRT2P -nRT1P=-nR(T2 -T1)

Given: n=3; T1=298 K and T2=400 K; R=8.314 J K-1 mol-1

W=-3×8.314×400-298=-2544 J 

W=-2.54 kJ

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