b
$Q =\Delta U + W$
$Q =\Delta U +\frac{ Q }{5}$
$\Delta U =\frac{4 Q }{5}$
$nC _{ v } \Delta T =\frac{4}{5} nC \Delta T$
$\frac{5}{4} C_{v}=C$
$C=\frac{5}{4}\left(\frac{f}{2}\right) R=\frac{5}{4}\left(\frac{5}{2}\right) R$
$C =\frac{25}{8} R$
$x =25$