Kinetic Theory ...

A closed container of volume 0.02 m$$^3$$ contains a mixture of neon and argon gases at a temperature of 27$$^{0}$$ C and at a pressure of $$1\times 10^{5}N/m^{2}$$. The total mass of the mixture is 28 g. If the gram molecular weights of neon and argon are 20 and 40 respectively, the masses of the individual gases in the container are respectively(assuming them to be ideal) [R = 8.314 J/mol K]

An ideal monoatomic gas $$(C_{v}=1.5\ R)$$ initially at $$298$$ K and $$1.013$$ atm expands adiabatically irreversibly until it is in equilibrium with a constant external pressure of $$0.1013$$ atm. The final temperature (in Kelvin) of the gas is :

A closed hollow insulated cylinder is filled with gas at 0$$^{0}$$C and also contains an insulated piston of negligible weight and negligible thickness at the the middle point. The gas at one side of the piston is heated to 100$$^{0}$$C . If the piston moves 5cm, the length of the hollow cylinder is

Two identical containers each of volume V$$_{0}$$ are joined by a small pipe. The containers contain identical gases at temperature T$$_{0}$$ and pressure P$$_{0}$$. One container is heated to temperature 2T$$_{0}$$ while maintaining the other at the same temperature. The common pressure of the gas is P and n is the number of moles of gas in container at temperature 2T$$_{0}$$.

How many degrees of freedom have the gas molecules if at S.T.P the gas density is 1.3 kg/m$$^{3}$$ and the velocity of sound in the gas is 330 m/sec?

A motor draws some gas from an adiabatic container of volume 2 liters having a monatomic gas at a pressure 4 atm. After drawing the gas the pressure in the container reduces to 1 atm. If the motor converts 10% of the energy contained in the drawn gas and the output of the motor is 10p joule, then p is
( Use $$1atm=10^5 pascal)$$

Which of the following will have maximum total kinetic energy at temperature 300 K ?

A gas mixture consists of $$2$$ moles of oxygen and $$4$$ moles of argon at temperature $$T$$. Neglecting all vibrational modes, the total internal energy of the system is

Maxwell"s velocity distribution curve is given for the same quantity for two different temperatures. For the given curves then which of the folowing relation is true?

One mole of an ideal gas $$ [{C}_{v,m} = \frac {5}{2}R ] $$ at $$300$$ K and $$5$$ atm is expanded adiabatically to a final pressure of $$2$$ atm against a constant pressure of $$2$$ atm. The final temperature (in Kelvin) of the gas is: