Answer
a) $Q=57600\ kJ$
b) $\dot{S}_{gen}=0.287\ W/K$
Work Step by Step
In 5 hours:
$Q=\dot{Q}\Delta t,\quad\dot{Q}=3.2\ kJ/s$
$Q=57600\ kJ$
From the entropy balance:
$\dfrac{\dot{Q_i}}{T_i}-\dfrac{\dot{Q}_e}{T_e}+\dot{S}_{gen}=0$
Given $T_e=276\ K,\ T_i=283\ K,\ \dot{Q}_i=\dot{Q}_e=3200\ W$
$\dot{S}_{gen}=0.287\ W/K$