Question

If you could show all work with explanations that would be great!! Thanks!!

#2. (30 pts) A turbocharger boosts the inlet air pressure to an automobile engine. It consists of an exhaust gas-driven turbine directly connected to an air compressor, as shown in a below figure. For a certain engine load, the conditions are given in the below figure. Assume that both the turbine and the compressor are reversible and adiabatic, having also the same mass flow rate. Engine power Engine out P 170 kPa T3 650 C Compressor Turbine Exhaust Inlet air P4 100 kPa P, 100 kPa T, 30 C n0.1 kg/s (a) Calculate the turbine exit temperature and power output. (b) Find the compressor exit pressure and temperature. From Table A.5, R 0.287 kJ/kg-K, p- 1.169 kg/m2, Cpo 1.004 kJ/kg-K, Co 0.717 kj/kg-K, k Cpo/C = 1.4. Hint: You can assume the air behaves as an ideal gas and has constant thermodynamic properties throughout the temperature range of interest. #3. (30 pts) Redo Problem #2, assuming the compressor and turbine in the turbocharger both have isentropic efficiency of 85 %, (a) Calculate the turbine exit temperature and power output (b) Find the compressor exit pressure and temperature.

Answer 1

Engine pouei cutpu Enguna BalTotPa T3 650c650+273 = 923 K Cempen aoharia Exxhaust lolet air PlookPa T36c =30+2B=303K n 0.Ikglsec (a) Calculata the tpbuie exit tanyeale adl puor au Tunbuna expansion s revessbla adiabah Yevesible adiabahc expansi k-l Tip THT3 (P4 P3 (4- 923/100 170 - T93.156 K Tbuie pouei output - m(po CTs-T4) 6.lx 004C923 -793. 156) 13-036 kw Tunbne pouer outu (Campress ext piessure and amporatume foues pdued bythe tnbune i utilized fr Compesang the au n the compessor

mmqnCE-T7) oC TE-Ta) T3-T G-Ti 123 T3 156+ 303 4-32.SK 2 sevible adiabahic compessun, T 432-84 363 348.42 KPa when entsqi eiieny of ternbuie and Cmmesscs 85y and power ouiput Tirnure exit onaane let 3-45 3(Jenbnpii expanh 3- adual exparsn T 4 fam prevtou calculabon, the 4S lemperalare at enbpe ean TAST3.156K be 4

5-T T3-Ts) TT3-T 0.8S 923- T 923-T3156 T4 = 812.63 k 0-1xl004(923-812-63) Actal poven ca M3 80 11 (b Compesexit piosure and bomdune -Ti B-T4 - 923-S12-W+303 T2= 4B-37 k Ti 4-13.37 2 loo 303 296-57ŁPG