Solve the Problem $$e = \frac { Q _ { h } - Q _ { C } } { Q _ { h } } \text {, }$$

question 128

Multiple Choice

Solve the problem.
-A heat engine is a device that converts thermal energy into other forms. The thermal efficiency, e, of a heat engin defined by
$$e = \frac { Q _ { h } - Q _ { C } } { Q _ { h } } \text {, }$$
where $\mathrm { Q } _ { \mathrm { h } }$ is the heat absorbed in one cycle and $\mathrm { Q } _ { \mathrm { C } }$ , the heat released into a reservoir in one cycle, is a constant. Find $\frac { d e } { d _ { h } }$ .

• A) \(\frac { \mathrm { de } } { \mathrm { dQ } _ { \mathrm { h } } } = - \frac { \mathrm { Q } _ { \mathrm { C } } } { \mathrm { Q } _ { \mathrm { h } } { } ^ { 2 } }\)
• B) \(\frac { d e } { d Q _ { h } } = \frac { 1 } { Q _ { h } ^ { 2 } }\)
• C) \(\frac { d e } { d Q _ { h } } = Q _ { h } - Q _ { C }\)
• D) \(\frac { \mathrm { de } } { \mathrm { dQ } _ { \mathrm { h } } } = \frac { \mathrm { Q } _ { \mathrm { C } } } { \mathrm { Q } _ { \mathrm { h } ^ { 2 } } }\)

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