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

question 286

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
$$\mathrm { e } = \frac { \mathrm { Q } _ { \mathrm { h } } - \mathrm { Q } _ { \mathrm { C } } } { \mathrm { Q } _ { \mathrm { h } } } \text {, }$$
where $\mathrm { Q } _ { h }$ 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 $\frac { d ^ { 2 } e } { d h ^ { 2 } }$

• A) \(\frac { \mathrm { d } ^ { 2 } \mathrm { e } } { \mathrm { dQ } _ { \mathrm { h } ^ { 2 } } } = \frac { \mathrm { Q } _ { \mathrm { C } } } { \mathrm { Q } _ { \mathrm { h } ^ { 2 } } }\)
• B) \(\frac { d ^ { 2 } e } { d Q _ { h } ^ { 2 } } = \frac { - 2 Q _ { C } } { Q _ { h } { } ^ { 3 } }\)
• C) \(\frac { d ^ { 2 } e } { d _ { h ^ { 2 } } ^ { 2 } } = \frac { Q _ { c } } { Q _ { h ^ { 3 } } }\)
• D) \(\frac { \mathrm { d } ^ { 2 } \mathrm { e } } { \mathrm { dQ } _ { \mathrm { h } } ^ { 2 } } = \frac { - \mathrm { Q } _ { \mathrm { C } } } { 2 \mathrm { Qh } ^ { 2 } }\)

---

Definitions:

Interpersonal Styles

The characteristic ways in which an individual interacts with others, influenced by personality traits.

Horney

Karen Horney, a psychoanalyst known for her theories on neurosis, personality, and the importance of social and cultural factors in psychological development.

Successful Relationship

A connection between individuals characterized by mutual respect, understanding, support, and effective communication.

Universal Symbol

A symbol that holds the same meaning across different cultures or societies, often representing fundamental human experiences or emotions.