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Derive an expression for work done by the impeller of a centrifugal pump on liquid per second per unit weight of liquid.
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Let,

$D_1 :\textit{Diameter of impeller at inlet} = 2 \hspace {0.05cm} \times\hspace{0.05cm}R_1$

$D_2 :\textit{Diameter of impeller at outlet} = 2 \hspace {0.05cm} \times\hspace{0.05cm}R_2$

$N : \textit{Speed ofimpeller in rpm}$

$u_1 : \textit{Tangential blade velocity at inlet} = wR_1 = (\frac{2 \pi N}{60})R_1$

$u_2 : \textit{Tangential blade velocity at outlet} = …

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