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# Work done in compressing a fluid

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A pump is used to raise the pressure of diesel fuel. It is measured that power needed to drive this pump is 5 kW for the steady operation (dE/dt = 0 for the system) (m in = m out). The efficiency of this perfect pump is 100% (all the energy is used to raise the pressure of diesel fuel). The density of diesel fuel is 800 kg/m^3. The pressure difference between the inlet and exit is 5 kPa. Disregard the change in velocity, elevation, and density of diesel fuel before and after pump. Please determine the mass flow rate of diesel fuel. (Tip: Use first law of thermodynamics.)

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#### Solution Preview

The work done to raise the pressure of a system is given by

dW = (P2 - P1) * dV

Here dV is the volume of the fluid flown.
As the volume is flowing through the pump the power of the pump (100% efficient) is given ...

#### Solution Summary

The volume flow rate of the fluid through a compressing pump is calculated with the rate of work done and efficiency is given.

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