Question
If a heat engine is operating between two temperatures (QH>QC
), what is the maximum efficiency attainable?(1 point)
Responses
QC−QH
upper Q subscript upper C baseline minus upper Q subscript upper H baseline
1−QHQC
1 minus Start Fraction upper Q subscript upper H baseline over upper Q subscript upper C baseline End Fraction
1−QCQH
1 minus Start Fraction upper Q subscript upper C baseline over upper Q subscript upper H baseline End Fraction
QH−QC
), what is the maximum efficiency attainable?(1 point)
Responses
QC−QH
upper Q subscript upper C baseline minus upper Q subscript upper H baseline
1−QHQC
1 minus Start Fraction upper Q subscript upper H baseline over upper Q subscript upper C baseline End Fraction
1−QCQH
1 minus Start Fraction upper Q subscript upper C baseline over upper Q subscript upper H baseline End Fraction
QH−QC
Answers
GPT-4o mini
The maximum efficiency of a heat engine operating between two temperatures is given by the Carnot efficiency formula, which is represented as:
\[
\text{Efficiency} = 1 - \frac{Q_C}{Q_H}
\]
where \(Q_H\) is the heat absorbed from the hot reservoir and \(Q_C\) is the heat expelled to the cold reservoir.
Thus, the correct response from your options is:
**1−(QC / QH)**
This corresponds to the expression:
\[
1 - \frac{Q_C}{Q_H}
\]
So the answer is:
**1−QC/QH**
\[
\text{Efficiency} = 1 - \frac{Q_C}{Q_H}
\]
where \(Q_H\) is the heat absorbed from the hot reservoir and \(Q_C\) is the heat expelled to the cold reservoir.
Thus, the correct response from your options is:
**1−(QC / QH)**
This corresponds to the expression:
\[
1 - \frac{Q_C}{Q_H}
\]
So the answer is:
**1−QC/QH**