A cylindrical vessel is divided in two parts by a fixed partition which is perfectly heat conducting. The wall and piston are thermally insulated from surroundings. The left side contains 0.5 moles of gas with Cv = 2R at temperature of 300 K. The right side contains 4 moles of mixture of gas with Cv = 1.75 R at same temperature of 300 K. The piston compresses slowly the right side from volume of Vo to Vo4. If total change in internal energy of gases is ΔU=n×104J., find n.(Take : R=253 S.I unit)

A cylindrical vessel is divided in two parts by a fixed partition whic

1.	A cylindrical vessel is divided in two parts by a fixed partition which is perfectly heat conducting. The wall and piston are thermally insulated from surroundings. The left side contains 0.5 moles of gas with Cv = 2R at temperature of 300 K. The right side contains 4 moles of mixture of gas with Cv = 1.75 R at same temperature of 300 K. The piston compresses slowly the right side from volume of Vo to Vo4. If total change in internal energy of gases is ΔU=n×104J., find n.(Take : R=253 S.I unit)
Answer» A cylindrical vessel is divided in two parts by a fixed partition which is perfectly heat conducting. The wall and piston are thermally insulated from surroundings. The left side contains 0.5 moles of gas with $C_{v}$ = 2R at temperature of 300 K. The right side contains 4 moles of mixture of gas with $C_{v}$ = 1.75 R at same temperature of 300 K. The piston compresses slowly the right side from volume of $V_{o}$ to $\frac{V_{o}}{4}$ . If total change in internal energy of gases is $Δ U = n \times 10^{4} J .$ , find $n$ . (Take : $R = \frac{25}{3}$ S.I unit)

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