Question

A compressor receives air at 290 K, 95 kPa and shaft work of 5.5 kW from a gasoline engine. It should deliver a mass flow rate of 0.01 kg/s air to a pipeline. Find the maximum possible exit pressure of the compressor.

Answer 1

P2 = 3.9 MPa

Step-by-step explanation:

Given that

T₁ = 290 K

P₁ = 95 KPa

Power P = 5.5 KW

mass flow rate = 0.01 kg/s

solution

with the help of table A5

here air specific heat and adiabatic exponent is

Cp = 1.004 kJ/kg K

and k = 1.4

so

work rate will be

W = m × Cp × (T2 - T1) ..........................1

here T2 = W ÷ ( m × Cp) + T1

so T2 = 5.5 ÷ ( 0.001 × 1.004 ) + 290

T2 = 838 k

so final pressure will be here

P2 = P1 ×
`((T2)/(T1))^(k)/(k-1)` ..............2

P2 = 95 ×
`((838)/(290))^(1.4)/(1.4-1)`

P2 = 3.9 MPa