4.48 Air at the inlet of an ideal (reversible-adiabatic) compressor enter throug

ID: 1860242 • Letter: 4

Question

4.48 Air at the inlet of an ideal (reversible-adiabatic) compressor

enter through a 0.03m^2 pipe at 112 kPa.

The compressor exit pressure is at 673 kPa. Calculate the area (cm^2)

of the exit pipe if the inlet and exit velocities are equal.

Assume constant specific heats evaluated at 300K.

Answer: 83.44

PLEASE SHOW ALL WORK INTERPOLATION AND

HOW TO GET ALL NUMBERS NEEDED thankyou so much

Please use these tables and state which ones used thanks much

the inlet pressure is P1 = 112 kPa

the outlet pressure is P2 = 673 kPa

the inlet area is A1 = 0.03 m^2

let the outlet area be A2

according to Bernoulli's equation we have

P1 + (1/2)pv1^2 = P2 + (1/2)pv2^2

or P2 - P1 = (1/2)pv1^2 - (1/2)pv2^2

or P2 - P1 = (1/2)pv2^2 x (v1^2/v2^2 - 1) -------------(1)

we know that

A1v1 = A2v2

or (v1/v2) = (A2/A1) -----------(2)

from (1) and (2) we get

P2 - P1 = (1/2)pv2^2 x (A2^2/A1^2 - 1)

where p is density of air(1.29 kg/m^3) and v2 is the exit velocity at outlet

solving the above equation for A2

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