Questions in Kinetic Theory of Gases

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Three containers of the same volume contain three different gases. The masses of the molecules are ${{m}_{1}},\,{{m}_{2}}$ and ${{m}_{3}}$ and the number of molecules in their respective containers are ${{N}_{1}},\,{{N}_{2}}$ and ${{N}_{3}}$. The gas pressure in the containers are ${{P}_{1}},\,{{P}_{2}}$ and ${{P}_{3}}$ respectively. All the gases are now mixed and put in one of the containers. The pressure P of mixture will be
At a given volume and temperature, the pressure of a gas
The rate of diffusion is
A vessel is filled with an ideal gas at a pressure of 10 atmospheres and temperature 27°C. Half of the mass of the gas is removed from the vessel and temperature of the remaining gas is increased to 87°C. Then the pressure of the gas in the vessel will be
When a gas in a closed vessel was heated so as to increase its temperature by ${{5}^{o}}C$, there occurred an increase of 1% in its pressure. The original temperature of the gas was
Two thermally insulated vessels 1 and 2 are filled with air at temperatures $({{T}_{1}},\,\,{{T}_{2}}),$ volume $({{V}_{1}},\,\,{{V}_{2}})$ and pressure $({{P}_{1}},\,\,{{P}_{2}})$ respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be
For matter to exist simultaneously in gas and liquid phases
The value of critical temperature in terms of Vander Waal’s constant a and b is
In Vander Waal’s equation a and b represent $\left( P+\frac{a}{{{V}^{2}}} \right)\,(\nu -b)=RT$
The gas in vessel is subjected to a pressure of 20 atmosphere at a temperature 27°C. The pressure of the gas in a vessel after one half of the gas is released from the vessel and the temperature of the remainder is raised by 50°C is

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