Which is Greater: 1 Degree Fahrenheit or 1 Degree Celsius?

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SUMMARY

The discussion centers on the comparison between 1 degree Celsius (°C) and 1 degree Fahrenheit (°F). Participants clarify that a change of 1°C is greater than a change of 1°F, leading to the conclusion that 1°F is not warmer than 1°C. The formula F = 1.8C + 32 is referenced to illustrate the relationship between the two temperature scales. Ultimately, the consensus is that the answer provided in the book, stating 1°F > 1°C, is incorrect.

PREREQUISITES
  • Understanding of temperature scales: Celsius and Fahrenheit
  • Basic knowledge of linear equations and graphing
  • Familiarity with the formula F = 1.8C + 32
  • Concept of temperature intervals and their implications
NEXT STEPS
  • Research the mathematical relationship between Celsius and Fahrenheit scales
  • Learn how to graph temperature conversions using the formula F = 1.8C + 32
  • Explore the concept of temperature intervals and their significance in scientific contexts
  • Investigate common misconceptions regarding temperature comparisons
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Students studying thermodynamics, educators teaching temperature concepts, and anyone interested in understanding the differences between Celsius and Fahrenheit temperature scales.

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Homework Statement


which of the following is correct
(a)1oC>1Fo
(b)1Fo>1oC
(c)1Fo=1oCo

Homework Equations

The Attempt at a Solution


F=1.8C+32
change of 1oC is greater than the change of 1oF or I can say it is warmer than change of one degree Fahrenheit.
In the book the answer is b that is 1 F>1C . Is it in any way possible ?
 
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How did you conclude that change of 1 degree C is greater than change of 1 degree F?
 
Chandra Prayaga said:
How did you conclude that change of 1 degree C is greater than change of 1 degree F?
because there are 100 divisions in centigrade scale and 180 divisions in Fahrenheit scale.
 
alijan kk said:
In the book the answer is b that is 1 F>1C . Is it in any way possible ?
Can you post a picture of the problem from your book? You can use the Upload button to upload a PDF or JPEG file...
 
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alijan kk said:
F=1.8C+32
change of 1oC is greater than the change of 1oF or I can say it is warmer than change of one degree Fahrenheit.
In the book the answer is b that is 1 F>1C . Is it in any way possible ?
They are not asking whether a change in 1 degree on the Celsius scale more than a 1 deg. change on the Fahrenheit scale.

The question is asking whether 1° F is warmer than 1° C.
 
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Mark44 said:
The question is asking whether 1° F is warmer than 1° C.

I'm not sure that's true, but in any event, it won't give answer b.
 
Vanadium 50 said:
I'm not sure that's true, but in any event, it won't give answer b.
Yeah, that's why I edited my Post #4 from saying what Mark44 said, and just asking for clarification of the question. Answer "b" doesn't seem correct, but there could be something else going on with the question...
 
The question seems pretty unambiguous to me.
 
Chestermiller said:
The question seems pretty unambiguous to me.
I guess I could be missing the obvious, and we can't give away the solution to homework on the PF, but still...

A degree C is wider than a degree F. And 1 degree C is higher on the thermometer than 1 degree F. So I'm having trouble seeing how "b" could the the solution to the problem... Can you send me a PM to help me out? Thanks! :smile:

https://images-na.ssl-images-amazon.com/images/I/61Xczv0eYTL._SX425_.jpg
61Xczv0eYTL._SX425_.jpg
 

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  • #10
Wait, I've got it finally!

It's asking for which is last alphabetically (higher ASCII representation)! Duh! :smile:
 
  • #11
I'm not sure if you are looking for what ASCII represents or what the actual picture scale of the thermometer represents. You can figure by using or making a graph of F versus C, based on any points of use - like example boiling and freezing points for water. Look at the slope, how 1 unit C and 1 unit F compare. Make Sense?
 
  • #12
symbolipoint said:
I'm not sure if you are looking for what ASCII represents or what the actual picture scale of the thermometer represents. You can figure by using or making a graph of F versus C, based on any points of use - like example boiling and freezing points for water. Look at the slope, how 1 unit C and 1 unit F compare. Make Sense?
Sorry, does that lead to selection (b)?

EDIT -- Wait, are you suggesting that we take the derivative with respect to the Kelvin scale? Boy, it seems like we are reaching pretty far to justify what the OP has posted so far...
 
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  • #13
berkeman said:
Sorry, does that lead to selection (b)?

EDIT -- Wait, are you suggesting that wetake the derivative with respect to the Kelvin scale? Boy, it seems like we are reaching pretty far to justify what the OP has posted so far...
My description is not so complicated. Too simple!
 
  • #14
alijan kk said:

Homework Statement


which of the following is correct
(a)1oC>1Fo
(b)1Fo>1oC
(c)1Fo=1oCo

Homework Equations

The Attempt at a Solution


F=1.8C+32
change of 1oC is greater than the change of 1oF or I can say it is warmer than change of one degree Fahrenheit.
In the book the answer is b that is 1 F>1C . Is it in any way possible ?
Maybe I misunderstood. Comparison of actual temperatures is asked. Try the formula, maybe?.

Choose (a), based on both using the formula, and using the picture of the F and C scales in the picture.
 
  • #15
symbolipoint said:
I'm not sure if you are looking for what ASCII represents or what the actual picture scale of the thermometer represents. You can figure by using or making a graph of F versus C, based on any points of use - like example boiling and freezing points for water. Look at the slope, how 1 unit C and 1 unit F compare. Make Sense?
berkeman said:
I guess I could be missing the obvious, and we can't give away the solution to homework on the PF, but still...

A degree C is wider than a degree F. And 1 degree C is higher on the thermometer than 1 degree F. So I'm having trouble seeing how "b" could the the solution to the problem... Can you send me a PM to help me out? Thanks! :smile:

https://images-na.ssl-images-amazon.com/images/I/61Xczv0eYTL._SX425_.jpg
View attachment 229266
so 1 degree is wider than 1 fahrenheit.
 

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