Answer
$\dot{m}=0.0238\ kg/s$
Work Step by Step
From the energy balance in the water:
$\dot{Q}+\dot{m}h_1=\dot{m}h_2$
$\dot{Q}=\dot{m}\Delta h_v$
Given $\dot{Q}=48\ kJ/s,\ \Delta h_v=2014.2\ kJ/kg$
$\dot{m}=0.0238\ kg/s$
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