A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume ?

Two cylinders A and B of equal capacity are connected to each other via a stopcock. A contains a gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following : (a) What is the final pressure of the gas in A and B ? (b) What is the change in internal energy of the gas ? (c) What is the change in the temperature of the gas ? (d) Do the intermediate states of the system (before settling to the final equilibrium state) lie on its P-V-T surface ?

At identical temperature and pressure, the rate of diffusion of hydrogen gas is 3 sqrt( 3) times that of a hydrocarbon having molecular formula C_(n) H_(2n-2) . What is the value of n ?

A cylinder with movable piston is fitted with H_(2) gas at 27^(@)C that occupies 250ml. If the maximum capacity of the cylinder is 1L, the highest temperature to which the cylinder can be heated at constant pressure without having the piston to come out is :

A cylinder of V litre capacity containing NH_(3) gas is inverted over another vessel of V litre capacity containing HCl gas at same temperature and pressure . After some time the pressure in cylinder will :