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Calculate Efficiency of Heat Engine

Heat Engine Efficiency Formula:

\[ \eta = 1 - \frac{Q_c}{Q_h} \]

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1. What is Heat Engine Efficiency?

The efficiency (η) of a heat engine is a dimensionless measure of how well it converts heat energy into work. It represents the fraction of heat energy that is transformed into useful work.

2. How Does the Calculator Work?

The calculator uses the heat engine efficiency formula:

\[ \eta = 1 - \frac{Q_c}{Q_h} \]

Where:

Explanation: The efficiency is calculated as 1 minus the ratio of rejected heat to absorbed heat. The result is typically multiplied by 100 to express as a percentage.

3. Importance of Efficiency Calculation

Details: Calculating heat engine efficiency is crucial for evaluating engine performance, comparing different engine designs, and understanding thermodynamic limitations (Carnot efficiency).

4. Using the Calculator

Tips: Enter both heat values in Joules. Qh must be greater than Qc for meaningful results. The calculator will automatically convert the result to percentage.

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum possible efficiency?
A: The maximum efficiency is given by the Carnot efficiency: 1 - Tc/Th, where T is absolute temperature.

Q2: Why can't efficiency be 100%?
A: Due to the second law of thermodynamics, some heat must always be rejected to a cold reservoir.

Q3: What are typical efficiency values?
A: Real heat engines typically have efficiencies between 20-50%, with theoretical maximums (Carnot) often higher.

Q4: Can efficiency be greater than 1?
A: No, efficiency values range from 0 to 1 (or 0% to 100%). Values greater than 1 would violate thermodynamics.

Q5: How does this relate to power plants?
A: Power plants are heat engines, and their efficiency determines how much fuel must be burned to produce a given amount of electricity.

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