An ideal gas of molar mass `M` is contained in a very tall vertical cylindrical vessel in the uniform gravitational field in which the free-fall acceleration equals to `T`, find the height at which the centre of gravity of the gas is located.

An ideal gas of molar mass contained in a very tall vertical cylindrical column in the uniform gravitational field. Assuming the gas temperature to be T, the height at which the centre of gravity of the gas is located is (R: universal gas constant)

An ideal gas of molar mass M is located in the uniform gravitational field in which the free-fall acceleration is equal to g . Find the gas pressure as a function of height h . If p = p_0 at h = 0 , and the temperature varies with height as (a) T = T_0 (1 - ah) , (b) T = T_0 (1 + ah) , where a is a positive constant.

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.

A tall cylindrical vessel with gaseous nitrogen is located in a uniform gravitational field in which the free-fall acceleration is equal to g . The temperature of the nitrogen varies along the height h so that its density is the same throught the volume. find the temperature gradient dT//dh .

A tall vertical vessel contains a gas composed of two kinds of molecules of masses m_1 and m_2 . With m_2 gt m_1 . The concentrations of these molecules at the bottom of the vessel are equal to n_1 and n_2 respectively, with n_2 gt n_1 . Assuming the temperature T and the free-fall acceleration g to be independent of the height, find the height at which the concentrations of these kinds of molecules are equal.

A body of mass 'm' falls freely under gravity, near the surface of earth. What will be the free fall acceleration if it is falling from a height equal to R, the radius of earth?

Two moles of an ideal gas are contained in a vertical cylinder with a frictionless piston. The piston is slowly displaced so that expansionin gas is isothermal at temperature T_(0)=400 K. find the amount of work done in increasing the volume to 3 times.t ake atmospheric pressure =10^(5)N//m^(2)

Two moles of an ideal gas are contained in a vertical cylinder with a frictionless piston. The piston is slowly displaced so that expansionin gas is isothermal at temperature T_(0)=400 K. find the amount of work done in increasing the volume to 3 times.t ake atmospheric pressure =10^(5)N//m^(2)