A machine operates using air flow under steady conditions with the following inlet and exit flow parameters. At the inlet, the pressure is 1.75 MPa at a temperature of 300 K. The inlet velocity is 25 m/s. The inlet diameter is 20 cm. At the outlet, the pressure is decreased to 55 kPa at a temperature of 500 K. The outlet velocity is 100 m/s. The elevation increase between the inlet and outlet is 100 m. The machine includes a turbine operating at 5 kW

Determine mass flow rate through the machine.

Question

Kelsey Preston

Engineering

28 August, 20:42

A machine operates using air flow under steady conditions with the following inlet and exit flow parameters. At the inlet, the pressure is 1.75 MPa at a temperature of 300 K. The inlet velocity is 25 m/s. The inlet diameter is 20 cm. At the outlet, the pressure is decreased to 55 kPa at a temperature of 500 K. The outlet velocity is 100 m/s. The elevation increase between the inlet and outlet is 100 m. The machine includes a turbine operating at 5 kW

Determine mass flow rate through the machine.

+4

Answers (1)

Know the Answer?

Malachi Alvarado · Answer 1

Mass flow rate = 15.96kg/s

Explanation:

From

P1V1=mRT1

V1=RT1/P1

V1=0.0492m³/kg

M=A (U) / V1

Where u is the velocity

A=πd²/4

M=π (0.2²) / 4*25/0.0492

M=15.96kg/s