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?

Which of the following is true for the value of $\Delta H - \Delta U$ at constant volume?

Which of the following is not an extensive property?

Two moles of an ideal gas are compressed isothermally and reversibly from $40 \ L$ to $20 \ L$ at $300 \ K$. What is the work done (in $kJ$)? $(R=8.314 \ J \ K^{-1} \ mol^{-1})$

$1 \text{ mole}$ of an ideal gas is compressed isothermally and reversibly from an initial pressure $x \text{ kPa}$ to a final pressure $2x \text{ kPa}$ at $300 \text{ K}$. Find the work done $(R = 8.314 \text{ J K}^{-1} \text{mol}^{-1})$. (in $\text{ J}$)

Observe the following properties: Volume,enthalpy,density,temperature,heat capacity,pressure,internal energy. The number of extensive properties in the above list is