Identify the correct statements from the following.
$(I)$ For adiabatic process,$\Delta U = W_{\text{adiabatic}}$
$(II)$ Work is a path function.
$(III)$ Volume is an extensive property.

Five moles of an ideal gas at $1 \ bar$ and $298 \ K$ is expanded into vacuum to double the volume. The work done is :-

What is the value of $\Delta H - \Delta U$ for the following reaction? $2 C_{(s)} + 3 H_{2(g)} \rightarrow C_2H_{6(g)}$

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?

For the process $CO_{2(s)} \rightarrow CO_{2(g)}$,which of the following is true?

Under isothermal condition,a gas at $300 \; K$ expands from $0.1 \; L$ to $0.25 \; L$ against a constant external pressure of $2 \; bar$. The work done by the gas is .... [Given that $1 \; L \; bar = 100 \; J$]