Solved: Carbon dioxide enters an adiabatic nozzle steadily

Chapter 5, Problem 533

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QUESTION:

Carbon dioxide enters an adiabatic nozzle steadily at 1 MPa and 5008C with a mass flow rate of 6000 kg/h and leaves at 100 kPa and 450 m/s. The inlet area of the nozzle is 40 cm2 . Determine (a) the inlet velocity and (b) the exit temperature.

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QUESTION:

Carbon dioxide enters an adiabatic nozzle steadily at 1 MPa and 5008C with a mass flow rate of 6000 kg/h and leaves at 100 kPa and 450 m/s. The inlet area of the nozzle is 40 cm2 . Determine (a) the inlet velocity and (b) the exit temperature.

ANSWER:

Step 1 of 4

 gas is accelerated in a nozzle to . The inlet velocity and the exit temperature are to be determined.

Assumptions are

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

2.  is an ideal gas with variable specific heats.

3. Potential energy changes are negligible.

4. The device is adiabatic and thus heat transfer is negligible.

5. There are no work interactions.

The gas constant and molar mass of  are  and  (Table A-1). The enthalpy of  at  is  (Table A-20).

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