Answer
(a) $-38J$
(b) $0$
(c) $-171J$
(d) $212J$
(e) $120J$
Work Step by Step
(a) According to the first law of thermodynamics
$Q=\Delta U+W$
We plug in the known values to obtain:
$Q=-38J+0$
$\implies Q=-38J$
(b) We know that
$W=P\Delta V$
as $\Delta V=0$
$\implies W=P(0)$
$W=0$
(c) We know that
$Q=\Delta U+W$
$\implies Q=-82J-89J$
$\implies Q=-171J$
(d) We know that
$W=Q-\Delta U$
$\implies W=332J-120J$
$\implies W=212J$
(e) We know that
$\Delta U_{C\rightarrow A}=-(\Delta U_{A\rightarrow B}+\Delta U_{B\rightarrow C})$
$\implies \Delta U_{C\rightarrow A}=-[(-38J)+(-82J)]=120J$