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Take temperatures and efficiencies to be exact . The autoignition temperature of

ID: 1620813 • Letter: T

Question

Take temperatures and efficiencies to be exact.
The autoignition temperature of a fuel is defined as the temperature at which a fuel-air mixture would self-explode and ignite. Thus, it sets an upper limit on the temperature of the hot reservoir in an automobile engine. The autoignition temperatures for commonly available gasoline and diesel fuel are about 495 F and 600 F, respectively.

Part A

What are the maximum Carnot efficiencies of a gasoline engine and a diesel engine if the cold reservoir temperature is 35 C?

Enter your answers numerically separated by a comma.

Take temperatures and efficiencies to be exact.
The autoignition temperature of a fuel is defined as the temperature at which a fuel-air mixture would self-explode and ignite. Thus, it sets an upper limit on the temperature of the hot reservoir in an automobile engine. The autoignition temperatures for commonly available gasoline and diesel fuel are about 495 F and 600 F, respectively.

Part A

What are the maximum Carnot efficiencies of a gasoline engine and a diesel engine if the cold reservoir temperature is 35 C?

Enter your answers numerically separated by a comma.

Egasoline, Ediesel =   %  

Explanation / Answer

for gasoline engine

Tc = 35 C

= 35 + 273

= 308 K

Th = 495 F

= (5/9)*(495 - 32)

= 257 C

= 257 + 273

= 530 K

efficiency of gasoline engine, n_gasoline = 1 - Tc/Th

= 1 - 308/530

= 0.419

= 41.9 %


for diesel engine

Tc = 35 C

= 35 + 273

= 308 K

Th = 600 F

= (5/9)*(600 - 32)

= 316 C

= 316 + 273

= 589 K

efficiency of diesel engine, n_diesel = 1 - Tc/Th

= 1 - 308/589

= 0.477

= 47.7 %

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