Solved: Helium is to be compressed from 105 kPa and 295 K

Chapter 5, Problem 550

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QUESTION:

Helium is to be compressed from 105 kPa and 295 K to 700 kPa and 460 K. A heat loss of 15 kJ/kg occurs during the compression process. Neglecting kinetic energy changes, determine the power input required for a mass flow rate of 60 kg/min.

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QUESTION:

Helium is to be compressed from 105 kPa and 295 K to 700 kPa and 460 K. A heat loss of 15 kJ/kg occurs during the compression process. Neglecting kinetic energy changes, determine the power input required for a mass flow rate of 60 kg/min.

ANSWER:

Step 1 of 4

Helium is compressed by a compressor.Refer to figure below.

For a mass flow rate of , the power input required is to be determined.

Assumptions are

1. This is a steady-flow process since there is no change with time.

2. Kinetic and potential energy changes are negligible.

3. Helium is an ideal gas with constant specific heats.

The constant pressure specific heat of helium is  (Table A-2a).

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