Slader An electrically driven pump operating at steady state draws water from a pond at a pressure of 1 bar and a rate of 20 kg/s and delivers the water at a pressure of 4 bar. There is no significant heat transfer with the surroundings, and changes in kinetic and potential energy can be neglected. The isentropic pump efficiency is 75%. Evaluating electricity at 8.5 cents per kW · h, estimate the hourly cost of running the pump.

The electricity cost = 70938 Cents

Explanation: Please find the attached file for the solution

70.9 cents.

Explanation:

Let assume that water at inlet is a saturated liquid. The process within pump is modelled after the First Law of Thermodynamics:

The power consumed by the pump is:

The isentropic effciency of the pump is:

Where,

The power equation is modified into the following form:

Specific enthalpies and entropies at inlet and outlet are obtained from steam tables and included below:

State 1 (Saturated Liquid)

State 2s (Subcooled Liquid)

The power consume by the pump is:

The hourly energy consumption is:

The hourly cost is:

answer:

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