$2000\mathrm{.}00$ 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 $(60$ F dry bulb, $45$ F wet bulb$)$ is mixed with recycled air $(112$ F dry bulb, $104$ F dew point$)$ and heated to $200$ F $(89$ F dew point$)$ before entering the drier. Wet solids enter the drier at $105$ F and dry solids leave at $175$ F$.$ The drier is adiabatic. Find the heat capacity of dry solid.