Carnot Cycle Efficiency Calculator
Carnot Cycle Efficiency Calculator computes the efficiency of a Carnot cycle based on the temperatures of the hot and cold reservoirs, with support for Celsius, Kelvin, and Fahrenheit units.
Formulas Used in Carnot Cycle Efficiency Calculator
The calculator uses the Carnot efficiency formula:
Efficiency:
\\[ \eta = 1 – \frac{T_c}{T_h} \\]Temperature Conversions:
\\[ T_K = T_C + 273.15 \\] \\[ T_K = \frac{5(T_F – 32)}{9} + 273.15 \\]Where:
- \\(\eta\\): Carnot efficiency (dimensionless)
- \\(T_h\\): Hot reservoir temperature (K)
- \\(T_c\\): Cold reservoir temperature (K)
- \\(T_C\\): Temperature in Celsius (°C)
- \\(T_F\\): Temperature in Fahrenheit (°F)
Example Calculation
Example: \\(T_h = 500 \, \text{K}, T_c = 300 \, \text{K}\\)
Compute: \\(\eta = 1 – \frac{300}{500} = 0.4\\)
Efficiency: \\(0.4 \, \text{or} \, 40\%\\)