For a thermodynamics system,which among the following is not a state function?

Which of the following relations is correct for an adiabatic process?

Which of the following is an intensive property?

Two moles of an ideal gas are expanded isothermally from $15 \ dm^3$ to $20 \ dm^3$. If the amount of work done is $-6 \ dm^3 \ bar$,find the external pressure needed to obtain this work.

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.

In thermodynamics,the $P-V$ work done is given by $w = -\int P_{ext} dV$. For a system undergoing a particular process,the work done is $w = -\int \left(\frac{RT}{V - b} - \frac{a}{V^2}\right) dV$. This equation is applicable to a: