$$4\,kg$$ of oxygen gas is heated so as to raise its temperature from 20 to $${120^ \circ }C.$$ If the heating is done at constant pressure, the external work done by the gas is ($${C_p} = 0.219\,cal/{g^ \circ }C$$ and $${C_v} = 0.157\,cal/{g^ \circ }C$$ )
If one mole of a monatomic gas $$\left( {\gamma = \frac{5}{3}} \right)$$ is mixed with one mole of a diatomic gas $$\left( {\gamma = \frac{7}{5}} \right)$$ the value of $$\gamma $$ for mixture is
A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is
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