Q$5)$ A filter press contains $20$ frames, each of $0\mathrm{.}6m$ by $0\mathrm{.}6m$ inside dimensions. The frames are $0\mathrm{.}025m$ thick. The volume of wash water used is $10\%$ of the filtrate per cycle. The time required for filtering at constant pressure is $2$ hours by which time the frames are full with cake. Washing is done at the same pressure as filtering and the viscosity of wash water is nearly the same as that of filtrate. What is the time required for washing? There is $0\mathrm{.}05m^3$ of final cake per $m^3$ of filtrate. Neglect the filter medium resistance.

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