IIT Jee Problem: Number of molecules in volume of 4cm³ in a perfect monophonic gas at some temperature

Number of molecules in a volume of 4 cm^3 of a perfect monoatomic gas at same temperature T and at a pressure of 2 cm of mercury is close to ? (Given,mean kinetic energy of a molecule (at T) is 4 xx 10^(-14) erg, g = 980 cm//s^2 , density of mercury = 13.6 g//cm^3 )

A : Number of air molecules in a room in winter is more than the number of molecules in the same room in summer. R : At a given pressure and volume, the number of molecules of a given mass of a gas is directly proportional to the absolute temperature.

In certain region of space there are n number of molecules per unit volume. The temperature of the gas is T. The pressure of the gas will be (k = Boltzmann's constant and R = universal gas constant)

A gas cylinder can hold 1 kg of hydrogen at room temperature and pressure : If the number of molecules of hydrogen in the cylinder is X, calculate the number of CO_2 molecules in the cylinder under the same conditions of temperature and pressure.

At absolute zero, the molecules of a gas come at perfect rest.

112 cm^(3) of dry carbon monoxide contains P molecule. Calculate the number of molecules in 336 dm^(3) of dry chlorine gas. Assume all measutements are made at same temperature and pressure.

The volume of 1 mol of a gas at standard temperature and pressure is .

At constant volume, for a fixed number of moles of a gas, the pressure of the gas increases with the rise in temperature due to

The kinetic energy of a molecule of a gas is directly proportional to the absolute temperature of the gas.

At a particular temperature, a certain quantity of gas occupies a volume of 74 cm^3 at a pressure gas occupies a volume of 74 cm at a pressure 740 mm, what will be the volume of the gas at the same temperature ?