A coal power station transfers 3.0 x 10^12 J by heat from burning coal and releases 1.5 x 10^12 J by heat into the environment. What is its efficiency?
A0.33
B0.50
C0.66
D1.00
Answer & Solution
Correct answer: B. 0.50
1. Efficiency is Eff = W divided by Qh, where W = Qh minus Qc.
2. First find the work: W = 3.0 x 10^12 J minus 1.5 x 10^12 J = 1.5 x 10^12 J.
3. Then Eff = 1.5 x 10^12 divided by 3.0 x 10^12.
4. Dividing gives Eff = 0.50.
5. 0.33 and 0.66 do not match this division, and 1.00 would mean no heat at all was rejected to the environment.
6. So 0.50 is correct.
_Source: OpenStax Physics (CC BY 4.0), Ch 12 "Thermodynamics", section 12.4 Applications of Thermodynamics: Heat Engines, Heat Pumps, and Refrigerators_
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