Answer
a) $\dot{Q}=44,800\ Btu/h$
b) $\dot{V}=232,500 ft^3/h$
Work Step by Step
For the eggs:
$\dot{m}=10,000\ eggs/h \times 0.14\ lbm/egg=1400\ lbm/h=0.3889\ lbm/s$
$\dot{m}h_1=\dot{m}h_2+\dot{Q}$
$\dot{Q}=\dot{m}c_p(T_1-T_2)$
Given $c_p=0.80\ Btu/lbm.°F,\ T_1=90°F,\ T_2=50°F$
$\dot{Q}=44,800\ Btu/h$
For the air:
$\dot{Q}=\dot{m}c_p\Delta T$
$c_p=0.24\ Btu/lbm.°F,\ \Delta T=10°F$
$\dot{m}=18,667\ lbm/h$
$\dot{m}=\frac{P\dot{V}}{RT}$
$P=14.7\ psia,\ R=0.3704\ psia.ft³/lbm.°R,\ T=494°R$
$\dot{V}=232,500 ft^3/h$
