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19 March, 05:14

A water pump increases the water pressure from 15 psia to 70 psia. Determine the power input required, in hp, to pump 1.5 ft3/s of water. Does the water temperature at the inlet have any significant effect on the required flow power?

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  1. 19 March, 08:44
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    11.52 hp

    Explanation:

    Givens:

    p_1 = 15 pisa

    p_2 = 70 pisa

    V_ol=1.5 ft^3/s

    Solution:

    Note: m = p x V_ol (assuming in compressible flow - > p = const)

    The total change in the system mechanical energy can be calculated as follows,

    Δ e = (p_2 - p_1) / p

    The power needed can be calculated as follows

    P = W = mΔ e = p x V_ol x (p_2 - p_1) / p

    = V_ol x (p_2 - p_1)

    = 44 pisa. ft^3/s

    = 44 x (1 btu/5.404pisa. ft^3) x (1 hp/0.7068btu/s)

    = 11.52 hp
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