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Question:

Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature of the gases will be?

550K

513K

490K

525K

Solution:

We know,Q=mCpΔtfor constant pressure processQ=mCvΔtfor constant volume processThus,Qupper=2×72×(T−500)Qlower=2×32×(700−T)But,Heat given by lower compartment = Heat gained by upper compartment∴2×72×(T−500)=2×32×(700−T)∴T=490K