QUESTION $3$

A continuous counter$-$current multistage leaching system is to be used to obtain water soluble coffee extract from roasted coffee beans. $1000kg$ of grounded coffee powder is leached with $600kg$ of pure water in the multi stage leaching system. The final coffee extract solution $($over flow$)$ is to be contain $27\%$ water soluble coffee extract. The coffee powder consists of $3\%$ moisture, $25\%$ water soluble matter and $72\%$ inert solid. If a stage in the multi stage leaching system needs $1\mathrm{.}2kW$ power, calculate the total power requirement for coffee extract process. Assume constant under flow of $N=1\mathrm{.}8kg$ inert solid$/kg$ solution. $(30$ points$)$ You must SHOW ALL CALCULATIONS IN DETAIL and use correct mathematical symbol representation.

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