Prove that (K)^(-1) = (C degree)^(-1)

  • Thread starter Thread starter Edwardo_Elric
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on proving the relationship K-1 = (C°)-1 in the context of thermal expansion. It is established that Celsius degrees (C) can be converted to Kelvin (K) using the formula C = K, highlighting the direct relationship between the two temperature scales. The proof is demonstrated through the equation 1/(K) = 1/(C degrees), confirming that the inverse of Kelvin is equal to the inverse of Celsius degrees when considering temperature changes.

PREREQUISITES
  • Understanding of thermal expansion concepts
  • Knowledge of temperature scales (Celsius and Kelvin)
  • Familiarity with mathematical proofs and equations
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the conversion formulas between Celsius and Kelvin
  • Explore the principles of thermal expansion in physics
  • Learn about the implications of temperature scale conversions in scientific calculations
  • Investigate other temperature scales and their relationships
USEFUL FOR

Students in physics, particularly those studying thermal dynamics, as well as educators looking for clear explanations of temperature scale conversions and their mathematical proofs.

Edwardo_Elric
Messages
101
Reaction score
0

Homework Statement


The lesson is about thermal expansion:
Prove:
[tex]K^{-1} = (C^{\circ})^{-1}[/tex]



Homework Equations





The Attempt at a Solution


I don't know how to do this problem... but Celsius degree results from a change in temperature which can be converted to kelvin...
so C^(degrees) = K
 
Physics news on Phys.org
If you are talking just about the two temperature scales (Kelvin and Celsius), then there is a simple relation between them, and what you have shown is not it.
 
given 10 degrees as the final temp. and 5 degrees as the initial temp.
both C degrees and K have the formula Tf - Ti;
1/(K) = 1/(C degrees)
1/(tf - ti) = 1/(tf - ti)
1/5 = 1/5
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 15 ·
Replies
15
Views
4K