An ideal gas of molar mass `M` is enclosed in a vessel of volume of `V` whose thin walls are kept at a constant temperature `T`. At a moment `t = 0` a small hole of area `S` is opened, and the gas starts escaping into vacuum. Find the gas concentration `n` as a function of time `t` if at the initial moment `n (0) = n_0`.

A gas of temperature T_0 is enclosed in a container whose walls are (initially) at temperature T. Now, the gas exerts a higher pressure on the walls of the container when

n moles of a gas expands from volume V_(1) to V_(2) at constant temperature T. The work done by the gas is

A gas enclosed in a vessel has pressure P, volume V and absolute temperature T, write the formula for number of molecule N of the gas.

A gas enclosed in a vessel has pressure P, volume V and absolute temperature T, write the formula for number of molecule N of the gas.

An ideal gas of molar mass M is contained in a tall vertical cylindrical vessel whose base area is S and height h . The temperatuer of the gas is T , its pressure on the bottom bass is p_0 . Assuming the temperature and the free-fall acceleration g to be independent of the height, find the mass of gas in the vessel.

An ideal gas at pressure P and temperature T is enclosed in a vessel of volume V. Some gas leaks through a hole from the vessel and the pressure of the enclosed gas falls to P'. Assume that the temperature of the gas remains constant during the leakage. What is the number of moles of the gas that have leaked ?

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 monatomic ideal gas is contained in a rigid container of volume V with walls of total inner surface area A, thickness x and thermal conductivity K. The gas is at an initial temperature t_(0) and pressure P_(0) . Find the pressure of the gas as a function of time if the temperature of the surrounding air is T_(s) . All temperature are in absolute scale.

A monatomic ideal gas is contained in a rigid container of volume V with walls of total inner surface area A, thickness x and thermal conductivity K. The gas is at an initial temperature t_(0) and pressure P_(0) . Find the pressure of the gas as a function of time if the temperature of the surrounding air is T_(s) . All temperature are in absolute scale.