HW4_sol

# HW4_sol - Solution to HW 4 1 Problem 1 An otto cycle is...

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Solution to HW 4 July 19, 2007 1 Problem 1 An otto cycle is assigned with i) max pressure ii) intake conditions iii) compression ratio and iv) minimum volume. Solution Number the states of the Otto cycle starting from intake, then set, Given Data: p 3 = 80 bar; p 1 = 1 bar; T 1 = 300 K; v 1 v 2 = r = 20 V 2 = 2 × 10 3 m 3 / kg a) V 1 = V 2 × r m = p 1 V 1 /R air /T 1 = 0 . 0465 kg 1

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u 1 = 214 kJ/kg vr 1 = 621 . 2 vr 2 = vr 1 /r = 621 . 2 u 2 = 700 . 88 kJ/kg read from the tables at vr 2 V 3 = V 2 T 3 = p 3 V 3 /m/R air = 1200 K u 3 = 933 . 3300 kJ/kg read from the tables at T 3 vr 3 = 14 . 4700 read from the tables at T 3 vr 4 = vr 3 × r = 289 . 40 u 4 = 291 . 0067 kJ/kg read from the tables at vr 4 η = 1 - ( u 4 - u 1 ) / ( u 3 - u 2 ) = 0 . 669 c) W = m ( u 1 - u 2 + u 3 - u 4 ) = 7 . 2247 kJ d) T 4 = 406 . 7 2 Problem 2 A Diesel cycle is assigned with i) max temp ii) intake conditions iii) compression ratio and iv) maximum volume. Solution
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HW4_sol - Solution to HW 4 1 Problem 1 An otto cycle is...

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