Answer
$\dot{m}=0.0304\ kg/s$
Work Step by Step
From the energy balance:
$\dot{W}_e+\dot{m}h_1=\dot{m}h_2$
$\dot{W}_e=\dot{m}c(T_2-T_1)$
Given $\dot{W}_e=7\ kW,\ c=4.184\ kJ/kg.°C,\ T_2=75°C,\ T_1=20°C$:
$\dot{m}=0.0304\ kg/s$
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