Answer
$C=\$0.123$
Work Step by Step
$\dot{m}=\frac{P\dot{V}}{RT}$
$P=92\ kPa,\ \dot{V}=560\ m³/h,\ R=0.287\ kJ/kg.°C,\ T=22°C$
$\dot{m}=0.169\ kg/s$
$\dot{Q}=\dot{m}c_p\Delta T,\quad c_p=1.0\ kJ/kg.°C,\ \Delta T=(22-5)°C$
$\dot{Q}=2.874\ kW$
$F=\dot{Q}\Delta t/\eta,\ \eta=0.96,\ \Delta t=1\ h$
$F=2.994\ kWh$
$C=F\times p_f,\ p_f=\$1.20/therm$
$C=\$0.123$