A slurry of a crystalline solid in water containing $27\%\frac{w}{w}$ water on a wet

basis is fed to a "pusher centrifuge" at a rate of $500kg{h}^{-1}.$ The centrifuge removes

$70\%$ of the water in the slurry but in doing so it also removes $5\%$ of the solid in the

slurry. The dewatered solid discharged from the centrifuge now enters a drier that

removes $80\%$ of the residual water.

Evaluate,

a$)$ The production rate of dried solid,

b$)$ The water content of the dried solid.