Answer
$\dot{m}=52.62\ lbm/h$
Work Step by Step
Since $\eta = \dot{W}_e/\dot{Q}_H$,
Given $\eta = 0.28,\ \dot{W}_e=110\ hp=279950\ Btu/h$:
$\dot{Q}_H=999821.4\ Btu/h$
Given $q=19000Btu/lbm$ and $\dot{Q}_H=q\dot{m}$:
$\dot{m}=52.62\ lbm/h$
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