Which of the following is not a state function of a thermodynamic system?

$A$ system is changed from state $A$ to state $B$ by one path and from $B$ to $A$ by another path. If $E_1$ and $E_2$ are the corresponding changes in internal energy,then:

The internal energy of a substance $U$ is related to temperature $T$ in which of the following ways?

One mole of an ideal gas at $300 \ K$ is expanded isothermally from an initial volume of $1 \ L$ to $10 \ L$. The value of $\Delta E$ for this process is $(R = 2 \ cal \ mol^{-1} \ K^{-1})$.

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:

Which of the following is true for an adiabatic process?