Calculate the internal energy change of one mole of an ideal gas during an adiabatic free expansion process from a volume of $2 \ L$ to $5 \ L$.

When a gas undergoes adiabatic expansion,it gets cooled due to

The work done in ergs for the reversible expansion of one mole of an ideal gas from a volume of $10 \ L$ to $20 \ L$ at $25^{\circ} C$ is :

Which of the following relations is correct for the internal energy change $(\Delta U)$ in a process occurring at constant volume?

Choose the correct option for the free expansion of an ideal gas under adiabatic conditions from the following:

Two vessels $A$ and $B$ are connected via a stopcock. Vessel $A$ is filled with a gas at a certain pressure. The entire assembly is immersed in water and allowed to reach thermal equilibrium. After opening the stopcock,the gas from vessel $A$ expands into vessel $B$,and no change in temperature is observed. Which of the following statements is true?