In a Carnot engine operating between temperatures T1 and T2, what is the efficie

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Question: In a Carnot engine operating between temperatures T1 and T2, what is the efficiency (η) of the engine? (2023)

Options:

Correct Answer: 1 - T2/T1

Solution:

The efficiency of a Carnot engine is given by η = 1 - T2/T1.

In a Carnot engine operating between temperatures T1 and T2, what is the efficiency (η) of the engine? (2023)

In a Carnot engine operating between temperatures T1 and T2, what is the efficiency (η) of the engine? (2023)

Step 1: Identify the two temperatures involved in the Carnot engine. T1 is the temperature of the hot reservoir, and T2 is the temperature of the cold reservoir.
Step 2: Make sure both temperatures are in the same unit, usually Kelvin (K). If they are in Celsius, convert them to Kelvin by adding 273.15.
Step 3: Use the formula for the efficiency of a Carnot engine, which is η = 1 - (T2 / T1).
Step 4: Plug in the values of T1 and T2 into the formula.
Step 5: Calculate the value of η to find the efficiency of the Carnot engine.

Carnot Engine Efficiency – The efficiency of a Carnot engine is determined by the temperatures of the heat reservoirs it operates between, specifically calculated as η = 1 - T2/T1.