Answer
$\dot{m}_s=1.60\ kg/s$
Work Step by Step
For the water ($c_p=4.18\ kJ/kg.K,\ T_2=27°C,\ T_1=18°C,\ \dot{m}_w=101\ kg/s$):
$\dot{Q}=\dot{m}_wc_p(T_2-T_1)$
$\dot{Q}=3800\ kJ/s$
For the steam ($\Delta h_v=2382.0\ kJ/kg$):
$\dot{Q}=\dot{m}_s\Delta h_v$
$\dot{m}_s=1.60\ kg/s$