Provide an Appropriate Response $e = \frac { Q _ { h } - Q _ { c } } { Q _ { h } }$

question 174

Multiple Choice

Provide an appropriate response.
-A heat engine is a device that converts thermal energy into other forms. The thermal efficiency, e, of a heat engin defined by
$e = \frac { Q _ { h } - Q _ { c } } { Q _ { h } }$ 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 $\frac { \mathrm { d } ^ { 2 } \mathrm { e } } { \mathrm { dQ } ^ { 2 } }$ .

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

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Definitions:

Transcutaneous Absorption

Entry (as of a pathogen) through a cut or crack in the skin.

Subcutaneous Injection

A method of administering medication under the skin into the fatty tissue layer between the skin and the muscle.

Stethoscope

A medical instrument used for listening to sounds produced within the body, particularly the heart and lungs, in order to diagnose conditions.

Body Sounds

The noises produced within the body that can be heard during a medical examination, such as heartbeats or lung sounds.