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A Carnot engine's operating temperatures are 210 degrees Celsius and 45 degrees Celsius. Calculate the efficiency of this engine.

Answer :

Final answer:

The efficiency of a Carnot engine operating between two temperatures (210°C and 45°C) can be calculated using a formula, with the temperatures converted to Kelvin. Applying this, the efficiency of such a Carnot engine is 34%.

Explanation:

The Carnot engine is a theoretical engine that operates between two temperatures: the hot source temperature (TH) and the cold sink temperature (TC). The efficiency of the Carnot engine is calculated using the formula: Efficiency = 1 - (TC/TH), where temperatures need to be in Kelvin.

First, let us convert temperatures from Celsius to Kelvin: TH = 210 °C + 273.15 = 483.15 K; TC = 45 °C + 273.15 = 318.15 K. Now, we can substitute these values into the efficiency formula: Efficiency = 1 - (318.15/483.15) = 0.34, or 34%. So, the efficiency of Carnot engine operating between 210 degrees Celsius and 45 degrees Celsius is 34%.

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