$($b$)$: single acting reciprocating pump of eylinder dianster $150$ mm and stroke of length $300$ mm is to raise water through a height of $22$ m shen pomp is running at $50$ rpm $.$

Determine.

$($i$)$ Theoretical discharge

$($i$)$ Thesretical H$.$P$.$

$($iii$)$ If actual discharge is IES litres per minute find coefficient of discharge. $-$

$(14$Marks$)$