Solve Heat Pump COP Equation with Q & T

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SUMMARY

The discussion focuses on solving the Coefficient of Performance (COP) equation for heat pumps using two specific equations: COP = T(H)/(T(H) - T(L)) and COP = Q(H)/(Q(H) - Q(L)). The user struggles to combine both heat (Q) and temperature (T) in a single equation. A key insight provided is that Q should be used unless dealing with a reversible (Carnot) cycle, and that given Q(H) and Q(L), COP can be calculated directly using the second equation.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically heat pump operation
  • Familiarity with the Coefficient of Performance (COP) concept
  • Knowledge of Carnot cycle efficiency
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the Carnot cycle and its implications on heat pump efficiency
  • Study the derivation and application of the COP equations in thermodynamics
  • Explore practical examples of calculating COP using Q(H) and Q(L)
  • Learn about the impact of temperature differences on heat pump performance
USEFUL FOR

Students studying thermodynamics, engineers working with HVAC systems, and anyone involved in optimizing heat pump performance.

conv
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Homework Statement
someone who can help me choose which equation to use in this problem
Relevant Equations
COP=T(H)/( T(H)-T(L) ) or COP = Q(H)/ ( Q(H)-Q(L) )
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I have tried to solve this with these equations:
COP=T(H)/( T(H)-T(L) ) and COP = Q(H)/ ( Q(H)-Q(L) )
But since I need both Q and T in the same equation, I can't find anything to solve it.
 
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conv said:
Homework Statement:: someone who can help me choose which equation to use in this problem
Relevant Equations:: COP=T(H)/( T(H)-T(L) ) or COP = Q(H)/ ( Q(H)-Q(L) )

View attachment 264041

I have tried to solve this with these equations:
COP=T(H)/( T(H)-T(L) ) and COP = Q(H)/ ( Q(H)-Q(L) )
But since I need both Q and T in the same equation, I can't find anything to solve it.
You have to use Q unless it is a reversible (Carnot) cycle. You are given Qh and QL so you can easily calculate COP using the equation you have. [the temperatures are not material to solving the problem]

AM
 

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