Algebra - how do i solve for this

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SUMMARY

The discussion centers on solving for Qh in the equation η = 1 - (Qc/Qh). Given η = 0.27 and Qc = 9519 J, the correct formula to isolate Qh is Qh = Qc / (1 - η). Substituting the values, Qh calculates to 13039 J, confirming the output from the graphics calculator. This equation is fundamental in thermodynamics, particularly in analyzing heat engines.

PREREQUISITES
  • Understanding of thermodynamic efficiency (η)
  • Familiarity with heat transfer concepts (Qc and Qh)
  • Basic algebraic manipulation skills
  • Experience using scientific calculators or graphing calculators
NEXT STEPS
  • Study the principles of thermodynamics, focusing on heat engines and efficiency calculations
  • Learn about the implications of Qc and Qh in real-world applications
  • Explore advanced algebra techniques for solving equations
  • Investigate the use of graphing calculators for solving complex equations
USEFUL FOR

Students studying thermodynamics, educators teaching algebra and physics, and professionals in engineering fields focusing on energy systems.

vorcil
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\eta = 1 - \frac{Q_c}{Q_h}

I have everything except Qh,

i stuck the equation into my graphics calculator and get 13039

n = 0.27
Qc = 9519 J

how'd i solve for Qh using that equation?
cheers
 
Physics news on Phys.org
\eta = 1 - \frac{Q_c}{Q_h}

\eta Q_h = Q_h - Q_c

Q_h(1-\eta)=Q_c

Q_h=\frac{Q_c}{1-\eta}
 

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