Which is the correct formula expressing relationship between Fahr
| Which is the correct formula expressing relationship between Fahrenheit 'F' and kelvin 'K' temperature scales?
A. (F-32) /180 = (K-273.15)/100
B. (F + 32)/180 = (K-273.15)/100
C. (F-32)/100 = (K-273.15)/180
D. (F + 32)/100 = (K-273.15)/180
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
CONCEPT:
Celsius scale:
- In this scale, a lower fixed point (ice point) is designated as 0° and the upper fixed point (steam point) is designated as 100°.
- The temperature measured on this scale was all in degree Celsius (° C).
Fahrenheit scale:
- On this scale of the temperature scale, the melting point of ice is considered to be 32° F and the boiling point of water is 212° F.
- The change in temperature of 1° F corresponds to a change of less than 1° C on the Celsius scale.
Kelvin scale:
- We also know the Kelvin temperature scale as the thermodynamic scale.
- On the Kelvin scale, the boiling point of the water is considered to be 373.15 K and its freezing point is 273.15 K.
- Whereas it was assumed that at 0 K there is no relative motion of particles,
- The change in temperature of 1° K corresponds to a change of less than 1° C on the Celsius scale.
- Whereas all these units of temperatures are related to each other by the following relationship:
\(\frac{{F - 32}}{180} = \frac{C}{100} = \frac{{K - 273.15}}{100}\)
EXPLANATION:
- The relation between the Fahrenheit 'F' and kelvin 'K' temperature scales is given by
\(\Rightarrow \frac{{F - 32}}{180} = \frac{{K - 273.15}}{100}\)