or $\frac{W}{Q} = 1 - \frac{{{T_2}}}{{{T_1}}}$==> $\frac{W}{6} = 1 - \frac{{(273 + 127)}}{{(273 + 227)}}$==> $W = 1.2\,k\,cal$

$(i)$ 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 $E_{int,f}$ ?