During each cycle of an automobile\'s gasoline engine operation, the gasoline bu

Question

During each cycle of an automobile's gasoline engine operation, the gasoline burned provides 12,000 J of energy through heating to the engine and the engine does 3600 J of work. Gasoline provides 4.4×107J of energy for each kilogram of gasoline burned. The density of gasoline is 737 kg/m3.

Part A Determine the efficiency of the engine.

Part B Determine the thermal energy exhausted from the engine during each cycle.

Part C Determine the mass of the gasoline burned during each cycle.

Part D If the engine has 80 cycles/s, how much gasoline does the engine use in 1 h in kilograms?

Part E If the engine has 80 cycles/s, how much gasoline does the engine use in 1 h in gallons? [Note: 1 gal = 3.785 L].

Please help!

Explanation / Answer

Here ,

energy added , Qh = 12000 J

work done , W = 3600 J

part A)

efficiency of the engine = W/Qh

efficiency of the engine = 3600/12000

efficiency of the engine = 0.3

the efficiency of the engine is 0.3

part B)

thermal energy exhausted from engine = Qh - W

thermal energy exhausted from engine = 12000 - 3600

thermal energy exhausted from engine = 8400 J

part c)

let the mass of gasoline burned is m

m * 4.4 *10^7 = 12000

m = 2.73 *10^-4 Kg

the mass of gasoline burned during each cycle is 2.73 *10^-4 Kg

part D)

gasoline used each hour = total number of cycles in 1 hour * gasoline used per cycle

gasoline used each hour = 2.73 *10^-4 * 80 * 3600

gasoline used each hour = 78.54 Kg

the gasoline used each hour is 78.54 Kg

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