$1 \, mol$ of an ideal gas is compressed reversibly at a constant temperature of $27 \, ^oC$ from $1 \, bar$ to $4 \, bar$. Calculate the work done in $kJ$.

If $0.75 \ mol$ of an ideal gas expands isothermally at $27 \ ^{\circ}C$ from $15 \ L$ to $25 \ L$,the maximum work obtained is ...... $J$. (in $.5$)

$A$ $5 \, L$ cylinder contains $10 \, mol$ of $O_2$ gas at $27 \, ^\circ C$. Due to a leak,the gas escapes into the atmosphere until the pressure inside the cylinder equals the atmospheric pressure $(1.0 \, atm)$. What is the work done by the gas?

Which of the following thermodynamic relations is correct?

An ideal gas at $300 \, K$ expands from a volume of $1 \times 10^{-3} \, m^3$ to $1 \times 10^{-2} \, m^3$ against a constant external pressure of $1 \times 10^5 \, N \, m^{-2}$. Calculate the work done.

Given below are two statements $ : $
Statement $I :$ When a system containing ice in equilibrium with water $(\text{liquid})$ is heated, heat is absorbed by the system and there is no change in the temperature of the system until whole ice gets melted.
Statement $II :$ At the melting point of ice, there is absorption of heat in order to overcome intermolecular forces of attraction within the molecules of water in ice, and the kinetic energy of molecules is not increased at the melting point.
In the light of the above statements, choose the correct answer from the options given below $ : $