The heat of combustion of benzene determined in a bomb calorimeter is $-870 \ kcal \ mol^{-1}$ at $25 \ ^oC$. The value of $\Delta E$ for the reaction is......$kcal$.

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

Enthalpy change for freezing of $1 \ g$ of water at $1 \ bar$ and $0^{\circ} C$ is $334 \ J$. Calculate the internal energy change in $J$ when $1 \ g$ of water is converted into ice?

$A$ certain mass of a gas was brought from state $A$ to $B$ by following three different paths, namely $1$, $2$ and $3$, respectively. Which of the following relations is correct for the work done?

Which of the following is true for an adiabatic process?

Although heat is a path function,heat absorbed by the system under certain specific conditions is independent of path. What are those conditions? Explain.