Predict the change in internal energy for an isolated system at constant volume.

The work done when $2 \, mol$ of an ideal gas expands from $5 \, L$ to $15 \, L$ at a temperature of $300 \, K$ is .............. $kJ$.

Among the following,the number of state variables is $.....$
Internal energy $(U)$; Volume $(V)$; Heat $(q)$; Enthalpy $(H)$

One mole of a non-ideal gas undergoes a change of state ($2.0 \, atm$,$3.0 \, L$,$95 \, K$) $\rightarrow$ ($4.0 \, atm$,$5.0 \, L$,$245 \, K$) with a change in internal energy,$\Delta U = 30.0 \, L \, atm$. The change in enthalpy $\Delta H$ of the process in $L \, atm$ is.

Calculate the work done when $2$ moles of an ideal gas expand from a volume of $5 \ dm^3$ to $7 \times 10^{-3} \ m^3$ against a constant external pressure of $2.02 \times 10^5 \ Nm^{-2}$. (in $kJ$)

Fill in the blanks:
$(i)$ The process of attaining thermal equilibrium between any two heat-conducting bodies is called the $\dots\dots$ law of thermodynamics.
$(ii)$ The law of thermodynamics is actually the law of $\dots\dots$.
$(iii)$ $A$ thermometer measures temperature according to the $\dots\dots$ law of thermodynamics.