Fill in the blanks:
$(i)$ $1 \ \text{calorie} = \ldots \ldots \ \text{joules}$
$(ii)$ The work done by the system can be calculated by the equation .......

In an isothermal and reversible process,$1.6 \times 10^{-2} \ kg$ of $O_2$ expands from $10 \ dm^3$ to $100 \ dm^3$ at $300 \ K$. The work done in the process is: $(R = 8.314 \ J \ K^{-1} \ mol^{-1})$ (in $J$)

What is meant by standard state in the context of the equation $\Delta U = q + w$?

Find the constant external pressure required to expand a gas from $2.5 \ L$ to $4.5 \ L$ if the amount of work done is $500 \ J$ at $298 \ K$. (in $bar$)

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......$kcal$.

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?