An air compressor compresses 6 L of air at 120 kPa and 22°C to 1000 kPa and 400°C. Determine the flow work, in kJ/kg, required by the compressor. The gas constant of air is R = 0.287 kPa·m3/kg·K. The flow work required by the compressor is

Question

Physics

Arnie

10 August, 17:15

An air compressor compresses 6 L of air at 120 kPa and 22°C to 1000 kPa and 400°C. Determine the flow work, in kJ/kg, required by the compressor. The gas constant of air is R = 0.287 kPa·m3/kg·K. The flow work required by the compressor is

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Answers (1)

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Yazmin Chapman · Answer 1

The work flow required by the compressor = 100.67Kj/kg

Explanation:

The solution to this question is obtained from the energy balance where the initial and final specific internal energies and enthalpies are taken from A-17 table from the given temperatures using interpolation.

The work flow can be determined using the equation:

M1h1 + W = Mh2

U1 + P1alph1 + ◇U + Workflow = U2 + P2alpha2

Workflow = P2alpha2 - P1alpha1

Workflow = (h2 - U2) - (h1 - U1)

Workflow = (684.344 - 491.153) - (322.483 - 229.964)

Workflow = (193.191 - 92.519) Kj/kg

Workflow = 100.672Kj/kg