A slurry of $\mathrm{CaCO}_{3}$ in water at $25^{\circ} \mathrm{C}$ containing $20 %$ solids by weight is to be filtered in a plateand-frame filter. The slurry and filter medium are tested in a constant pressure lab filter, having an area of $0.0439 \mathrm{~m}^{2}$, at a pressure drop of $338 \mathrm{kPa}$. It is found that $10^{-3} \mathrm{~m}^{3}$ of the filtrate is collected after $9.5 \mathrm{~s}$ and $5 \times 10^{-3} \mathrm{~m}^{3}$ is collected after $107.3 \mathrm{~s}$. The plate-and-frame filter has 20 frames, with $0.873 \mathrm{~m}^{2}$ of the filter medium per frame, and operates at a constant flow rate of $0.00462 \mathrm{~m}^{3}$ of slurry per second. The filter is operated until the pressure drop reaches $500 \mathrm{kPa}$, at which time it is shut down for cleaning. The downtime is $15 \mathrm{~min}$ per cycle. Determine how much filtrate passes through the filter in each $24 \mathrm{~h}$ period of operation ( $\mathrm{SG}$ of $\mathrm{CaCO}_{3}$ is 1.6).