Vessels `1` and `2` contain `v = 1.2` moles of gaseous helium. The ratio of the vessels' volumes `V_2//V_1 = alpha = 2.0`, and the ratio of the absolute temperatures of helium in them `T_1//T_2 = beta = 1.5`. Assuming the gas be to ideal, find the difference of gas entropies in these vessels, `S_2 - S_1`.

n moles of helium gas are placed in a vessel of volume V Litre, at T K. If V_(1) is free volume of helium then diameter of He atom is:

Two thermally insulated vessels are interconnected by a tube equipped with a valve. One vessel volume V_1 = 10 1 contains v = 2.5 moles of carbon dioxide. The other vessel of volume V_1 = 100 1 is evacuated. The valve having been opened, the gas adiabatically expanded. Assuming the gas to obey the Van der Walls equation, find its temperature change accompanying the expansion.

A vessel of volume V contains a mixture of ideal gases at temperature T. The gas mixture contains n _(1), n _(2) and n _(3) moles of three gases. Assuming ideal gas system, the pressure of the mixture is

A vessel contains 1 mole of O_2 at a temperature T. The pressure of gas is P. An identical vessel containing 1 mole of the gas at a temperature 2T has pressure of -

A vessel of volume V contains n_(1) moles of oxygen and n_(2) moles of carbon dioxide at temperature T . Assuming the gases to be ideal, find, (a) the pressure of the mixture, (b) the mean molar mass of the mixture.

Two vessels of the same volume contain the same gas at same temperature. If the pressure in the vessels is in the ratio of 1 : 2, then