Slurry of sitosterol is filtered through a filtration medium. The resistance of the medium is

negligible. The laboratory test data is:

Weight of crystal: $62$ g$,$ pressure of filtration: $15$ psi, filter diameter: $5\mathrm{.}08$ cm$,$ cake depth:

$12\mathrm{.}5$ cm$,$ cake volume: $253\mathrm{.}3$ cm$3$

$,$ filtration time: $163$ min.; slurry density $=0\mathrm{.}3$ g $/100$ cm$3$

The cake is incompressible.

On the basis of this laboratory test, predict the number of frames $(30$ in$.\backslash$times $30$ in$.\backslash$times $1$ in$.$thick$)$ needed for a plate and frame press. Estimate the time required to filter a $63$ kg batch

of steroid. In these calculations, assume that the feed pump will deliver $10$ psi and that the

filtrate from the press must be raised against the equivalent of $15$ ft head