The Relationship Between Celsius and Fahrenheit Temperatures

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Homework Help Overview

The discussion revolves around the relationship between Celsius and Fahrenheit temperature scales, specifically focusing on how temperature changes in one scale correspond to changes in the other. Participants are examining the conversion between these two temperature systems.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are exploring the conversion of temperature changes, questioning the accuracy of their calculations and the formulas used. They discuss specific examples of temperature changes and how they relate to freezing and boiling points of water.

Discussion Status

The discussion is ongoing, with participants providing various interpretations of the temperature change calculations. Some guidance has been offered regarding the conversion factors, but there is no explicit consensus on the correct approach or final answer.

Contextual Notes

There is some confusion regarding the correct conversion factor and the initial temperature values used in the calculations. Participants are also addressing discrepancies in their answers and the general formula for converting between Celsius and Fahrenheit.

Dx
A temp change of 20 degrees C corresponds to a temp change of

68degrees F

i got this one wrong? what's up with that?
 
Last edited by a moderator:
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Well, its asking for a change...

20 deg C=68 deg F...but...

Lets say the change in C is from 0 to 20, then the change in F is from 32 to 68, giving your answer of (68-32)=36
 
Water freezes at 32 degrees F= 0 degrees C
Water boils at 212 degrees F= 100 degrees C
so that 212-32= 190 degrees F spans as much as 100 degrees C so each degree C corresponds to 190/100= 1.9 degrees F.

A change of 20 degrees C corresponds to a change of 20(1.9)= 38 degrees F.

(Or, you could have argued that 20 degrees C is 1/5 of the way from freezing to boiling and so corresponds to (212-32)/5= 190/5= 38 degrees F.

(Oh, by the way, a temperature of 20 degrees C is 70 degrees F, not 68. The general formula is F= 1.9C+ 32.
 
Originally posted by HallsofIvy
Water freezes at 32 degrees F= 0 degrees C
Water boils at 212 degrees F= 100 degrees C
so that 212-32= 190 degrees F spans as much as 100 degrees C so each degree C corresponds to 190/100= 1.9 degrees F.

A change of 20 degrees C corresponds to a change of 20(1.9)= 38 degrees F.

(Or, you could have argued that 20 degrees C is 1/5 of the way from freezing to boiling and so corresponds to (212-32)/5= 190/5= 38 degrees F.

(Oh, by the way, a temperature of 20 degrees C is 70 degrees F, not 68. The general formula is F= 1.9C+ 32.

Thanks for the info Ivy and dav2008.
BTW...9/5 = 1.8C + 32 not 1.9 and my answer of 68 degrees is right.

Thanks!

Dx :wink:
 

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