Question

The correct statements among the following is/are:

• A. PV is a state function
• B. Work done under adiabatic condition is a state function
• C. Heat at constant volume is a state function
• D. Heat at constant pressure is a state function

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A PV is a state function
B Work done under adiabatic condition is a state function
C Heat at constant volume is a state function
D Heat at constant pressure is a state function

A) pressure and volume are state functions and hence their product must be state function.

B) According to the first law of thermodynamics
$\Delta U=\Delta q+W$
For an adiabatic process $\Delta q=0$. Thus $W=\Delta U$. Since $U$ is a state function, hence work done under adiabatic condition is a state function.

C) We know, $\Delta U=\Delta q+P\Delta V$.
So at constant volume $\Delta q=\Delta U$, hence heat at constant volume is a state function.

D) Heat at constant pressure is equal to $\Delta H$. So Heat at constant pressure is a state function