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) \(\frac { \mathrm { de } } { \mathrm { dQ } _ { \mathrm { h } } } = \frac { \mathrm { Q } _ { \mathrm { C } } } { \mathrm { Q } _ { \mathrm { h } ^ { 2 } } }\)

---

Definitions:

Copyright

The right of ownership of an original literary or artistic work and the control over the right to copy it.

Claim Copyright

The act of declaring ownership over an original work to protect it from unauthorized use under copyright law.

Photograph

An image produced through the capture of light on a light-sensitive material or an electronic sensor.

Writing

The act or process of composing text or content for various purposes, including communication, documentation, and records.