Question

Air is compressed steadily by a reversible compressor from 100 kPa and 300 K to 900 kPa by a 10-kW motor. Assume air is both ideal and has constant specific heat capacity values determined at room temperature from Table A-2 at room temperature (300 K).

a) Determine the mass flow rate through the compressor if the process is isentropic. ( find and identify the work per unit mass)

b) polytropic with n = 1.2

c) isothermal

d) ideal two-stage polytropic with n=1.2

P2 = 900 kPa Wcomp Air compressor W = 10kW P = 100 kPa T= 300 K

Answer 1

Given P=100kpa T,- 3ook P2=gookPa Wez lokw. Y=1.4 (p=loos ka lkyk, R=0.287 KJ lkyle, To findl mass flow rate (m) (a) For isentropic processi 2-1/8 nica MRTI :] [] [le) [90.4/14--1] [] los mxv.287x3.. m= 0.0 38 kg is (Ans.). (b ) For poly tropic process (n=112) wie z met. [ 69.)*:!-][m 10- mx 0.2878304 [ 30:2)..2..] [...] hi : m=0.0438 kg/s (Ansol - P - (c i For iso thermal process : We a mRt, en ( P2 / 4 10= mx 0.2878300 en 19) tiro.0529 kg/s • (An (And.)

di Ideal a-stage compression n.1.2. (N=2) we=N [no] mi mrt, (C) [6%) *_] :,10=(2x 0-2 9 2x1.2 - 1.2. x mxa. 287 X 300 [ : -] 0.7 :.l m=0.04817 kg/s (Ans ),

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