$$100\,g$$ of water is heated from $${30^ \circ }C$$ to $${50^ \circ }C.$$ Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is $$4184\,J/kg/K$$ ) :
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