Which is the correct formula expressing relationship between Fahr

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  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

\(\Rightarrow \frac{{F - 32}}{180} = \frac{{K - 273.15}}{100}\)