Why does Celsius temperature in degrees have +/- signs, since it's scalar?

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SUMMARY

The Celsius temperature scale, like the Fahrenheit scale, utilizes values that correspond to specific physical phenomena, namely the freezing and boiling points of water. While some argue that the choice of zero degrees Celsius is arbitrary, it is based on logical reasoning tied to everyday experiences. Absolute temperature scales, such as Kelvin, avoid negative values but can be less intuitive for practical applications. The discussion emphasizes the importance of understanding temperature as a scalar quantity that can indeed have negative values, contrary to the notion of magnitude.

PREREQUISITES
  • Understanding of scalar quantities and their properties
  • Familiarity with temperature scales: Celsius, Fahrenheit, and Kelvin
  • Basic knowledge of thermodynamics and physical phenomena related to temperature
  • Awareness of historical context in scientific measurement systems
NEXT STEPS
  • Research the historical development of temperature scales, focusing on Anders Celsius and Daniel Gabriel Fahrenheit
  • Explore the principles of thermodynamics, specifically the concept of absolute zero and its implications
  • Learn about the differences between scalar and vector quantities in physics
  • Investigate the practical applications of temperature measurement in various scientific fields
USEFUL FOR

This discussion is beneficial for students of physics, educators in science, and anyone interested in the principles of temperature measurement and its historical context.

ELLE_AW
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Why does Celsius degrees have +/- signs, since it's scalar?
 
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ELLE_AW said:
Why does Celsius degrees have +/- signs, since it's scalar?
How would you recommend temperatures below zero Celsius be indicated?
 
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Scalars can be negative. You are thinking of a magnitude which is strictly non-negative. Temperature is not a magnitude.
 
Dale said:
Scalars can be negative. You are thinking of a magnitude which is strictly non-negative. Temperature is not a magnitude.
Thank you so much for the distinction. That makes perfect sense.
 
ELLE_AW said:
Why does Celsius degrees have +/- signs, since it's scalar?
The celsius scale (also the Fahrenheit scale) uses values that relate to arbitrary points on an absolute temperature scale. That scale starts at Zero K so all temperature values are actually 'in the same direction'.
 
Dale said:
Scalars can be negative. You are thinking of a magnitude which is strictly non-negative. Temperature is not a magnitude.
sophiecentaur said:
The celsius scale (also the Fahrenheit scale) uses values that relate to arbitrary points on an absolute temperature scale. That scale starts at Zero K so all temperature values are actually 'in the same direction'.

Yea, the Kelvin scale makes more intuitive sense to me, but yea the arbitrary nature of that zero point makes sense too, as representing another temperature scale. Thank you!
 
ELLE_AW said:
Yea, the Kelvin scale makes more intuitive sense to me, but yea the arbitrary nature of that zero point makes sense too, as representing another temperature scale. Thank you!

It's not really arbitrary, though. The scale for Celsius was chosen so that 0 was the freezing point and 100 the boiling point of water, two commonly-occurring phenomena in everyday life. Similarly, Fahrenheit's scale was chosen to relate to a human's every day experience. Absolute scales like Kelvin or Rankine are non-negative, which is nice, but they are much harder to intuitively relate to what you experience in life. It's a lot less convenient to talk about freezing occurring at 273.14 K and boiling at 373.14 K.
 
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boneh3ad said:
The scale for Celsius was chosen so that 0 was the freezing point and 100 the boiling point of water

Originally, the reverse. It was changed by Linnaeus (yes, that Linnaeus) after Celsius' death.
 
boneh3ad said:
It's not really arbitrary, though. The scale for Celsius was chosen so that 0 was the freezing point and 100 the boiling point of water, two commonly-occurring phenomena in everyday life. ...

Yes, but in the big picture it is arbitrary -- we could be doing our labs on the planet Zork, where atmospheric pressure is different.

Where I live, water boils at 204F. Oops, I mean 95.6 Celsius.
 
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gmax137 said:
Yes, but in the big picture it is arbitrary -- we could be doing our labs on the planet Zork, where atmospheric pressure is different.

Where I live, water boils at 204F. Oops, I mean 95.6 Celsius.

Still not arbitrary. It has a specific and logical reason.
 
  • #11
It has a specific and logical reason, but it is arbitrary.
Lots of other values could have been used for equally
specific and logical reasons.

-- Jeff, in Minneapolis
 
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  • #12
Vanadium 50 said:
Originally, the reverse. It was changed by Linnaeus (yes, that Linnaeus) after Celsius' death.
You mean 0° used to be the boiling point of water, and 100° was the freezing point? Well then I’m glad it got changed; that’s just confusing.
 
  • #13
boneh3ad said:
It's not really arbitrary, though. The scale for Celsius was chosen so that 0 was the freezing point and 100 the boiling point of water, two commonly-occurring phenomena in everyday life.
If the Celsius scale is "arbitrary", then so is the Kelvin scale. The difference of 1K is still based on boiling and freezing of water.
 
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  • #14
Jeff Root said:
It has a specific and logical reason, but it is arbitrary.
Lots of other values could have been used for equally
specific and logical reasons.

-- Jeff, in Minneapolis

ar·bi·trar·y
/ˈärbəˌtrerē/
adjective
  1. based on random choice or personal whim, rather than any reason or system.

So... not arbitrary.
 
  • #15
boneh3ad said:
So... not arbitrary.
Except for arbitrary definitions of "arbitrary".
 
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