A reversible heat engine runs between high temperature $${{T}_{1}}$$ and low temperature $${{T}_{2}}.$$ the work output of this heat engine is used to run a reversible refrigeration cycle absorbing heat at temperature $${{T}_{3}}$$ and rejecting at temperature $${{T}_{2}}.$$what is the COP of the combined system?

Question

TuteeHUB · Accepted Answer

$$\left( \frac{{{T}_{2}}}{{{T}_{1}}-{{T}_{2}}} \right)\,\,\left( \frac{{{T}_{2}}-{{T}_{3}}}{{{T}_{3}}} \right)$$

TuteeHUB · Answer

$$\left( \frac{{{T}_{1}}-{{T}_{2}}}{{{T}_{1}}} \right)\,\,\left( \frac{{{T}_{3}}}{{{T}_{2}}-{{T}_{3}}} \right)$$

TuteeHUB · Answer

$$\left( \frac{{{T}_{1}}}{{{T}_{1}}-{{T}_{2}}} \right)\,\,\left( \frac{{{T}_{3}}}{{{T}_{2}}-{{T}_{3}}} \right)$$

TuteeHUB · Answer

$$\left( \frac{{{T}_{3}}}{{{T}_{1}}-{{T}_{3}}} \right)\,\,\left( \frac{{{T}_{1}}}{{{T}_{2}}-{{T}_{1}}} \right)$$

1.	A reversible heat engine runs between high temperature \[{{T}_{1}}\] and low temperature \[{{T}_{2}}.\] the work output of this heat engine is used to run a reversible refrigeration cycle absorbing heat at temperature \[{{T}_{3}}\] and rejecting at temperature \[{{T}_{2}}.\]what is the COP of the combined system?
A.	\[\left( \frac{{{T}_{1}}-{{T}_{2}}}{{{T}_{1}}} \right)\,\,\left( \frac{{{T}_{3}}}{{{T}_{2}}-{{T}_{3}}} \right)\]
B.	\[\left( \frac{{{T}_{2}}}{{{T}_{1}}-{{T}_{2}}} \right)\,\,\left( \frac{{{T}_{2}}-{{T}_{3}}}{{{T}_{3}}} \right)\]
C.	\[\left( \frac{{{T}_{1}}}{{{T}_{1}}-{{T}_{2}}} \right)\,\,\left( \frac{{{T}_{3}}}{{{T}_{2}}-{{T}_{3}}} \right)\]
D.	\[\left( \frac{{{T}_{3}}}{{{T}_{1}}-{{T}_{3}}} \right)\,\,\left( \frac{{{T}_{1}}}{{{T}_{2}}-{{T}_{1}}} \right)\]
Answer» B. \[\left( \frac{{{T}_{2}}}{{{T}_{1}}-{{T}_{2}}} \right)\,\,\left( \frac{{{T}_{2}}-{{T}_{3}}}{{{T}_{3}}} \right)\]

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