Which of the following is a set of intensive properties?

Which of the following is a state function: $(i)$ height of a hill,$(ii)$ distance covered in climbing the hill,$(iii)$ change in energy while climbing the hill?

In which of the following reactions is $\Delta E = \Delta H$?

The heat of combustion of ethanol in a bomb calorimeter at $25\,^oC$ is $-670.48\, K\,cal\, mol^{-1}$. Find the value of $\Delta U$ in $K\,cal$ for the reaction at $25\,^oC$.

The expansion of gas having no opposing force is called as

Work done by an ideal gas at a constant volume is