KVPY Government Jobs Exams

Two bulbs of identical volumes connected by a small capillary are initially filled with an ideal gas at
temperature T. Bulb 2 is heated to maintain a temperature 2T while bulb 1 remains at temperature T. Assume
throughout that the heat conduction by the capillary is negligible. Then the ratio of final mass of the gas in
bulb 2 to the initial mass of the gas in the same bulb is close to -
(A) 1/2 (B) 2/3 (C) 1/3 (D) 1

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KVPY Other Question

Two rods, one made of copper and the other steel of the same length and cross sectional area are joined
together. (The thermal conductivity of copper is 385 J.s–1 .m–1. K–1 and steel is 50 J.s–1.m–1.K–1.) If the copper
end is held at 100ºC and the steel end is held at 0ºC, what is the junction temperature (assuming no other heat
losses) ?
(A) 12ºC (B) 50ºC (C) 73ºC (D) 88ºC
A container with rigid walls is covered with perfectly insulating material. The container is divided into two
parts by a partition. One part contains a gas while the other is fully evacuated (vacuum). The partition is
suddenly removed. The gas rushes to fill the entire volume and comes to equilibrium after a little time. If the
gas is not ideal,
(A) the initial internal energy of the gas equals its final internal energy
(B) the initial temperature of the gas equals its final temperature
(C) the initial pressure of the gas equals its final pressure
(D) the initial entropy of the gas equals its final entropy