A cylindrical vessel is divided into two parts by a fixed partition which is perfectly heat conducting. The wall and the piston are thermally insulated from the 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=1.75R at the same temperature at 300 K. The piston compresses slowly the right side from volume V0 to V04. If total change in internal energy of gases is n×104 J, the value of n is (R=25/3 SI units)

A cylindrical vessel is divided into two parts by a fixed partition wh

1.	A cylindrical vessel is divided into two parts by a fixed partition which is perfectly heat conducting. The wall and the piston are thermally insulated from the 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=1.75R at the same temperature at 300 K. The piston compresses slowly the right side from volume V0 to V04. If total change in internal energy of gases is n×104 J, the value of n is (R=25/3 SI units)
Answer» A cylindrical vessel is divided into two parts by a fixed partition which is perfectly heat conducting. The wall and the piston are thermally insulated from the surroundings. The left side contains $0.5$ moles of gas with $C_{V} = 2 R$ at temperature of $300 K$ . The right side contains $4$ moles of mixture of gas with $C_{V} = 1.75 R$ at the same temperature at $300 K$ . The piston compresses slowly the right side from volume $V_{0}$ to $\frac{V_{0}}{4}$ . If total change in internal energy of gases is $n \times 10^{4} J$ , the value of $n$ is ( $R = 25 / 3 S I$ units)