Temperature rise across the pump

Due to the inefficiency of pump, part of the energy put into the liquid is converted to heat. It is abSOTbed by the liquid and causes its temperature rise. The temperature rise of the immping liquid (DT, in F) can be calculated as follows  

H is pump head, in ft Cp is the pumping liquid heat capacity in btu/lb F. 

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Here the specific volume, V, has been retained because the temperature rise across the pump is usually small. Squaring and adding the last two equations produces ... 

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