Problem$-1$: A small centrifugal pump handles $($vaters$)$at a rate of $6\frac{L}{s}$ with an input power of $3\mathrm{.}75$ kW and a total$-$to$-$total efficiency of $70\%.$ Suppose that the fluid handled is changed to gasoline having specific gravity of $0\mathrm{.}7,$ what are the predicted values for:

$($a$)$ Flow rate $($of the gasoline$)$

$($b$)$ Input power $($of the gasoline$)$

$($c$)$ Actual work $($of the gasoline$)$

$($d$)$ Total pressure rise $($of the gasoline$)$