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Temperature scale: When will Celsius and Faranheit scales agree with each other?

  • #1

Homework Statement


Calculate the one temperature at which Fahrenheit and Celsius thermometers agree with each other.

Homework Equations


TF = TC * (9/5) + 32°C
TC = ( TF + 32 ) * (5/9)
TK = TC + 273.15

The Attempt at a Solution


*Shrug* I can't even understand how to set it up...

4. The answer
-40°C
 

Answers and Replies

  • #2
LowlyPion
Homework Helper
3,090
4

Homework Statement


Calculate the one temperature at which Fahrenheit and Celsius thermometers agree with each other.

2. Homework Equations
TF = TC * (9/5) + 32°C
TC = ( TF + 32 ) * (5/9)
TK = TC + 273.15
Forget Kelvin

If

TC = ( TF - 32 ) * (5/9)

Simply set TF to TC

TC = ( TC - 32 ) * (5/9)

and solve.

Note your second equation is in error.
 

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