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
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
How many six-digit numbers are there in which no digit is repeated, even digits appear at even places, odd
digits appear at odd places and the number is divisible by 4 ?
(A) 3600 (B) 2700 (C) 2160 (D) 1440
A concentrated solution of copper sulphate, which is dark blue in colour, a mixed at room temperature with a
dilute solution of copper sulphate, which is light blue. For this process-
(A) Entropy change is positive, but enthalpy change is negative
(B) Entropy and enthalpy changes are both positive
(C) Entropy change is positive and enthalpy does not change
(D) Entropy change is negative and enthalpy change is positive