False. Since the Carnot engine has the greatest efficiency possible, other engin

Question

False. Since the Carnot engine has the greatest efficiency possible, other engines operating between the two temperatures produce less useful work output for the same work input. Use the worked example above to help you solve this problem. A steam engine has a boiler that operates at 5.40 times 10^2 K. The energy from the boiler changes water to steam, which drives the piston. The temperature of the exhaust is that of the outside air, 3.35 times 10^2 K. (a) What is the engine's efficiency if it's an ideal engine? 37.96 % (b) If 3.50 times 10^3 J of energy is supplied from the Boiler, find the work done by the engine on its environment. 1/3287ES The highest theoretical efficiency of a gasoline engine, based on the Carnot cycle, is 0.300 or 30.0%. (a) If this engine expels its gases into the atmosphere, which has a temperature of 2.70 times 10^2 K, what is the temperature in the cylinder immediately after combustion? T_h, = 9E2 (b) If the heat engine absorbs 827 J of energy from the hot reservoir during each cycle, how much work can it perform in each cycle? W_eng = 248.1 J

Explanation / Answer

Practice it :

Efficiency n = 37.96 % = 0.3796

We know n = W / Q
From this work done W = nQ
= 0.3796 x 3.5 x10 3

= 1328.6 J

Excercise :

We know n = 1-(Tk/Th)

0.3 = 1-(270/Th)

270/Th = 1-0.3 = 0.7

Th = 270 / 0.7

= 385.71 K

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