Answer
A
Work Step by Step
From the entropy balance:
$\dot{S}_{gen}=\dot{m}c_p\ln{\dfrac{T_2}{T_1}}$
Given $\dot{m}=3\ kg/s,\ c_p=4.18\ kJ/kg.K,\ T_2=288.3\ K,\ T_1=288\ K=T_0$
$\dot{S}_{gen}=0.013\ kW/K$
From the definition: $\dot{S}_{des}=T_0\dot{S}_{gen}=3.76\ kW$
