$2000\mathrm{.}00$ kg$/$hr of wet solids $(40\mathrm{.}00\%$ by weight moisture$)$are completely dried in a drier where air is blown over the solids. Fresh air $(60$o F dry bulb, $45$o F wet bulb$)$ is mixed with recycled air $(112$o F dry bulb, $104$o F dew point$)$ and heated to $200$o F $(89$o F dew point$)$ before entering the drier. Wet solids enter the drier at $105$o F and dry solids leave at $175$o F$.$ The drier is adiabatic. Find the heat capacity of dry solid.