A gasoline engine with an efficiency of 28.1% operates between a high temperature T1 and a low temperature T2 = 310 K. If this engine operates with Carnot efficiency, what is the high-side temperature T1?Select one:a.1,103 Kb.431 Kc.834 Kd.223 Ke.600 K
Question
A gasoline engine with an efficiency of 28.1% operates between a high temperature T1 and a low temperature T2 = 310 K. If this engine operates with Carnot efficiency, what is the high-side temperature T1?Select one:a.1,103 Kb.431 Kc.834 Kd.223 Ke.600 K
Solution
The Carnot efficiency is given by the formula:
Efficiency = 1 - (T2/T1)
Where: Efficiency is the efficiency of the engine, T1 is the high temperature, and T2 is the low temperature.
We are given that the efficiency of the engine is 28.1% or 0.281, and T2 is 310 K. We are asked to find T1.
We can rearrange the formula to solve for T1:
T1 = T2 / (1 - Efficiency)
Substituting the given values:
T1 = 310 K / (1 - 0.281)
Calculating the above expression gives:
T1 = 431 K
So, the high-side temperature T1 when the engine operates with Carnot efficiency is 431 K. Therefore, the correct answer is b.431 K.
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