$\mathrm{d} \mathrm{W}=168 \mathrm{J}$
$\mathrm{dQ}=\mathrm{mL}=\mathrm{dU}+\mathrm{d} \mathrm{W}$
or $1 \times 2240=d U+168$
$\mathrm{dU}=2072 \mathrm{J}$

Match the following
$\begin{array}{|l|l|} \hline Column\,\,-\,\,1 & Column\,\,-\,\,2 \\ \hline P\,:\,Process\,\,-\,\,I & \,\,A\,\,:\,\,Adiabatic \\ \hline Q\,:\,Process\,\,-\,\,II & \,\,B\,\,:\,\,Isobaric \\ \hline R\,:\,Process\,\,-\,\,III & \,\,C\,\,:\,\,Isochoric \\ \hline S\,:\,Process\,\,-\,\,IV & \,\,D\,\,:\,\,Isothermal \\ \hline \end{array}$


$V\propto {T^{\frac{2}{3}}}$ $[R = 1.99\ cal/mol-K]$
$(i)$ What is $W$ along path $ibf$ ?
$(ii)$ If $W = 13$ cal for path $fi$, what is $Q$ for the path $fi$ ?
$(iii)$ Take $E_{int,i} = 10\,\, cal$ then what is $E_{int,f}$ ?