A rigid, insulated container is divided into two compartments by a partition. One compartment contains 2 moles of an ideal monatomic gas at temperature $T_1$, and the other contains 1 mole of a diatomic ideal gas at temperature $T_2$. If the partition is removed, and the gases are allowed to mix and reach equilibrium, what is the final temperature of the mixture? Assume no heat exchange with the surroundings.

A gas absorbs 50 J of heat and does 20 J of work on its surroundings. What is the change in its internal energy?

In an isochoric process, the internal energy of a system increases by 50 J. What is the heat absorbed by the system?

The perfect gas goes from a state A to another state B by absorbing $8 imes {10^5}$J of heat and doing $6.5 imes {10^5}{\rm{J}}$of external work. It is now transferred between the same two states in another process in which it absorbs ${10^5}J$ of heat in the second process. Then

If earth suddenly stops rotating about its own axis, the increase in it’s temperature will be

The $SI$ unit of mechanical equivalent of heat is

In an isothermal process, which of the following remains constant?

If a system undergoes an adiabatic process, which of the following is true?

A system does 100 J of work and its internal energy increases by 50 J. How much heat was added to the system?

Air is expanded form 50 litre to 150 litre at 2 atmospheric pressure (1 atm pressure = ${\bf{1}}{{\bf{0}}^{\bf{5}}}{\bf{kg}}{\rm{ }}{{\bf{m}}^{ - {\bf{2}}}}$). The external work done is

A gas undergoes a cyclic process represented by a circle in a P-V diagram. Which of the following statements must be true?