Data for the laboratory filtration of CaCO₃ slurry in water at 30°C are reported as follows at a constant pressure of \(-\Delta P = 190 \, \text{kPa}\).

- Filter area of the plate-and-frame press: \(A = 0.05 \, \text{m}^2\)
- Slurry concentration: \(C_s = 23 \, \text{kg/m}^3\)

\[
\begin{array}{|c|c|}
\hline
V \times 10^3 \, \text{m}^3 & t_s \, (\text{s}) \\
\hline
0.5 & 6.3 \\
1.0 & 14.0 \\
1.5 & 24.2 \\
2.0 & 37.0 \\
2.5 & 51.7 \\
3.0 & 69.0 \\
3.5 & 88.8 \\
4.0 & 115.0 \\
4.5 & 134.0 \\
5.0 & 160.0 \\
\hline
\end{array}
\]

The same slurry is to be filtered in a plate-and-frame press having 30 frames with an area of 0.873 m² per frame. The same pressure, \(190 \, \text{kN/m}^2\), will be used in constant pressure filtration. Assume the same filter cake properties and filter cloth.

Calculate the total filter cycle time (in minutes) to recover 2.26 m³ of filtrate. The volume of wash water is 0.283 m³, and cleaning takes 30 minutes. The viscosity at 30°C is 0.89 CP.

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