# A pump increases the water pressure from 70 kPa at the inlet to 700 kPa at the outlet. Water...

## Question:

A pump increases the water pressure from 70 kPa at the inlet to 700 kPa at the outlet. Water enters this pump at {eq}15^o C{/eq} through a 1.0 cm diameter opening and exits through a 2.3 cm diameter opening.

Determine

a) The velocity of he water at the inlet and outlet when the mass flow rate through the pump is 0.33 kg/s.

{eq}V_{inlet} = \rule{3cm}{0.15mm} m/s; V_{exit} = \rule{3cm}{0.15mm} m/s{/eq}

b) What is the velocity at the inlet if the inlet temperature is raised to {eq}40^oC{/eq}?

{eq}V_{inlet,40^oC}= \rule{3cm}{0.15mm} m/s{/eq}

## Conservation of mass

According to the Law of Conservation of mass for a steady state flow, the mass flow at the entry is equal to the mass flow at the exit of the system. It is represented by the symbol {eq}\dot m {/eq}.

## Answer and Explanation:

Given Data:

• The pressure at the inlet of the pump is {eq}{P_1} = 70\;{\rm{kPa}} {/eq}.
• The pressure at the outlet of the pump is {eq}{P_2} =...

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