$A$ certain gas is isothermally compressed to $(1/3)^{rd}$ of its initial volume $(V_0 = 3 \ \text{L})$ by applying required pressure. If the bulk modulus of the gas is $3 \times 10^5 \ \text{N/m}^2$, the magnitude of work done on the gas is . . . . . . $J$.

Two identical containers $A$ and $B$ with frictionless pistons contain the same ideal gas at the same temperature and the same volume $V$. The mass of the gas in $A$ is ${m_A}$ and that in $B$ is ${m_B}$. The gas in each cylinder is now allowed to expand isothermally to the same final volume $2V$. The changes in the pressure in $A$ and $B$ are found to be $\Delta P$ and $1.5 \Delta P$ respectively. Then:

The thermodynamic process,in which the internal energy of the system remains constant is ...........

If the pressure of an ideal gas is decreased by $10 \%$ isothermally,then its volume will

In an isothermal change,the change in pressure and volume of a gas can be represented for three different temperatures $T_3 > T_2 > T_1$ as:

Obtain an expression for work done by an ideal gas in an isothermal expansion.