Answer to Question #182476 in Mechanical Engineering for Sms

Question #182476

An air compressor takes air in at the state of the surroundings 100 kPa, 300 K. The air exits at 400 kPa, 200°C at the rate of 2 kg/s. Determine the minimum compressor work input. 


1
Expert's answer
2021-04-21T07:04:41-0400

"s_0 - s_2 = S_T^0 -S_T^2-Rln(\\frac{P_0}{P_2})"


"s_0 - s_2 = 6.86926-7.3303-0.287 ln(\\frac{100}{400}) =-0.06317 \\frac{kJ}{kg K}" ...from Steam table


"\\psi_1 = 0" at ambient condition


"\\psi_2 = h_2-h_0 + T_0(S_0-S_2)"


"\\psi_2 = 475.79-300.473 + 300(-0.06317) = 156.365" "\\frac{kJ}{kg }"


"\\dot{W}^{REV} = \\dot{m}(\\psi_2-\\psi_1) = 312.73 = \\dot{W}_c"





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