Answer
$Q_{in} = 1413.52\ Btu$
Work Step by Step
For a closed system with no kinetic or potential energy changes:
$Q_{in}-W_{out}=\Delta U$
If $\Delta U = 0$, and $W_{out} = 1.1\times 10^6\ lbf.ft$
$Q_{in} = 1.1\times 10^6\ lbf.ft \times \frac{1\ Btu}{778.2\ lbf.ft} = 1413.52\ Btu$
