Predict the change in internal energy for an isolated system at constant volume.

In an irreversible expansion of a gas,the work done by the gas is given by.....

Consider the following statements:
$(1)$ Joule-Thomson experiment is isoenthalpic as well as adiabatic.
$(2)$ $A$ negative value of $\mu_{JT}$ (Joule-Thomson coefficient) corresponds to warming of a gas on expansion.
$(3)$ The temperature at which neither cooling nor heating effect is observed is known as inversion temperature.
Which of the above statements are correct?

Which law of thermodynamics provides the definition of temperature?

For which of the following systems, the difference between $\Delta H$ and $\Delta U$ is not significant?
$(i)$ Solids
$(ii)$ Gases
$(iii)$ Mixture of gases and liquids
$(iv)$ Liquids

If the work done during the isothermal reversible expansion of an ideal gas at a pressure of $10 \ atm$ from $4 \ L$ to a final volume is $-184.24 \ L \ atm$,the final volume of the gas in $L$ is