Question

A centrifugal compressor used in a gas turbine engine increases the pressure of 2000 lbm/min of air from 15 psia to 150 psia. The enthalpy of the entering air is 150 BTU/lbm and of the compressed air is 300 Btu/lbm and 1.53 Btu/lbm o fheat is lost ot the environment. Assuming no change in the kinetic or potential energy of the air, determine how much power is required to drive the compressor(hp).

Answer 1

To determine the power required to drive the centrifugal compressor, calculate the work done on the air during compression and use it to calculate the power required.

Step-by-step explanation:

To determine the power required to drive the centrifugal compressor, we need to calculate the work done on the air during compression. The work done is given by the equation:

W = h2 - h1

Where h2 is the enthalpy of the compressed air and h1 is the enthalpy of the entering air. By substituting the given values into the equation, we can calculate the work done. The power required to drive the compressor can be calculated using the equation:

Power = (W * mass flow rate) / (time)

By substituting the calculated work and the given mass flow rate into the equation, we can determine the power required in horsepower.