How Do You Calculate Temperature Error When Converting from Celsius to Kelvin?

Click For Summary
SUMMARY

The calculation of temperature error when converting from Celsius to Kelvin involves understanding that the error remains unchanged during the conversion. For example, if the temperature is T = 23 °C ± 0.5, the equivalent temperature in Kelvin is K = 296.15 K ± 0.5. The relationship dT/T = dT'/T' is not necessary for this conversion since the addition of a constant (273.15) does not affect the error margin. Therefore, the error remains ± 0.5 after the conversion.

PREREQUISITES
  • Understanding of temperature scales (Celsius and Kelvin)
  • Basic knowledge of error propagation
  • Familiarity with scientific notation and units
  • Concept of fixed constants in measurements
NEXT STEPS
  • Study error propagation techniques in physical measurements
  • Learn about the significance of fixed constants in scientific calculations
  • Explore temperature conversion formulas and their implications on error
  • Investigate the impact of measurement uncertainty in experimental physics
USEFUL FOR

Students in physics or engineering, researchers conducting experiments involving temperature measurements, and anyone interested in understanding error analysis in scientific calculations.

ck00
Messages
19
Reaction score
0
Error treatment on temperature~~

I recently did an experiment at school. I don't know how to calculate the error of temperature after changing the unit of temp. from degree celsius to kelvin. Here is the question.

Let T=23 °C ± 0.5
What is the error after changing the unit to kelvin?

Should I keep dT/T=dT'/T' (T and T' are the temperature in degree celsius and kelvin respectively)? Or do it in other ways?
 
Physics news on Phys.org


The unit size didn't change, you just added a fixed constant to the °C. So the error remains the same, ± 0.5 °

If you have an error value for that constant then by all means include it in the calculation, but typically you'd assume it's a "perfect" constant (or at least that any error in its value is far, far smaller than those in your experimental values).
 

Similar threads

Replies
20
Views
7K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 41 ·
2
Replies
41
Views
6K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 64 ·
3
Replies
64
Views
7K
Replies
5
Views
3K