A spray dryer is used to obtain powdered egg whites. The goal is to produce $5000$ cans$/$hour of $250$ g each $($assuming no loss due to waste$).$ The moisture content of the product is $3\%$ and it is produced at a temperature of $70$ C$,$ starting from a raw material that contains $85\%$ moisture. Air with a relative humidity of $20\%$ and a wet$-$bulb temperature of $6$ C will be used for drying; this air is heated to $145$ C using a heat exchanger before the drying process, and exits at a temperature of $80$ C and an absolute humidity of $0\mathrm{.}0268$ kg of water$/$kg of dry air. The specific heat capacity of the solid egg is $0\mathrm{.}45$ kcal$/$kg C$.$

a$)$ The mass flow rate of the feed.

b$)$ The mass flow rate of dry air.

c$)$ The inlet temperature of the raw material $($egg$).$