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Converting sunlight to electricity with solar cells has an efficiency of 15%. It

ID: 1289726 • Letter: C

Question

Converting sunlight to electricity with solar cells has an efficiency of 15%. It's possible to achieve a higher efficiency (though currently at higher cost) by using concentrated sunlight as the hot reservoir of a heat engine. Each dish in (Figure 1) concentrates sunlight on one side of a heat engine, producing a hot-reservoir temperature of 490 degrees C . The cold reservoir, ambient air, is approximately 30 degrees C. The actual working efficiency of this device is 30%.

What is the theoretical maximum efficiency?

Explanation / Answer

To convert from degrees Celsius to Kelvin, add 273.15. (It's just "Kelvin," not "degrees Kelvin.")

The cold temperature:
T_C = 30 degC = 303.15 K

The hot temperature:
T_H = 490 degC = 763.15 K

The Carnot efficiency:
eff = 1 - (T_C / T_H) = 1 - (303.15 K / 763.15 K) = 0.6028

So the theoretical maximum efficiency is 60.28%.