Correct Answer - Option 1 :
\(\frac C{100}= \frac {F-32}{180}=\frac {R-492}{180}\)
Explanation:
Celsius scale
- In this scale, LFP (ice point) is taken 0° and UFP (steam point) is taken 100°.
- The temperature measured on this scale all in degree Celsius (° C).
Fahrenheit scale
- This scale of temperature has LFP as 32° F and UFP as 212° F .
- The change in temperature of 1° F corresponds to a change of less than 1° on the Celsius scale.
Kelvin scale
- The Kelvin temperature scale is also known as the thermodynamic scale. The triple point of water is also selected to be the zero of the scale of temperature.
- The temperatures measured on this scale are in Kelvin (K).
Rankine scale
- This scale of temperature has LPF as 492° R and UFP as 672° R.
- Interval of this scale is according to Fahrenheit.
- The temperature measured on this scale are in Rankine (R)
All these temperatures are related to each other by the following relationship
\(\frac C{100}= \frac {F-32}{180}=\frac {R-492}{180}= \frac {K -273}{100}\)
Relationship between the Celsius and Fahrenheit scale is –
\(\frac{F-32}{9}=\frac{C}{5}\)
\(\Rightarrow C=\frac{5}{9}\left( F-32 \right)\)