Question

Let's begin with an efficiency analysis of a gasoline engine. The engine in a large truck takes in 2500 J of heat and delivers 500 J of mechanical work per cycle. The heat is obtained by burning gasoline with heat of combustion Le = 5.0 x 104 J/g. (a) What is the thermal efficiency of this engine? (b) How much heat is discarded in each cycle? (c) How much gasoline is burned during each cycle? (d) If the engine goes through 100 cycles per second, what is its power output in watts? In horsepower? (e) How much gasoline is burned per second? Per hour?

Answer 1

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(a) Efficiency =n= 500 1 ) 3/05 TH H 25ou > n = 0-2 b) Also, ME I-9c -0-2-1- SH ge = 1-0-2 2500 2500 2000 I → Ic=0.8 x 2500 Heat discarded per cycle = 2000 J. 9H=2500 T LE 5x104 Jlug Gasoline burned during each cycle SH 느 2500 5x104 0.05 kg La 50 gram 1 (d) ioo cycle isecond I cycle Secondo Power output = work in Icycle Time for 1 cycle 50000 W 5x104 500 100 5 x 104 U -hp=670024 hp 746 (e) Gasoline burned per second = (brascline burned per eyele 5000 g x 100 50 X 100 rom 5 kg Gasoline burned per hour hasoline burned per second Hotel) 1x 3600 5x 3.600 kg 2 18000 cs Scanned with kg CamScanner

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