$1.$A continuous counter$-$current multistage leaching system is to be used to obtain water soluble coffee extract from roasted coffee beans. $1000$ kg of grounded coffee powder is leached with $600$ kg 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 $1\mathrm{.}2$ kW power, calculate the total power requirement for coffee extract process. Assume constant under flow of N$=1\mathrm{.}8$ kg inert solid kg solution.