# Temperature Scale

Three common temperature scales are (i) Celsius - C (ii) Kelvin - K and (iii) Fahrenheit - F. The formulas for converting one temperature scale to another are
\begin{align}
F=32+\frac{9}{5}C
\end{align}
\begin{align}
K=C+273.15
\end{align}
Note that freezing point of water on three temperature scales is 0 deg C, 32 deg F and 273 deg K. The boiling point of water on three temperature scales is 100 deg C, 212 deg F and 373 deg K.

The normal temperature of human body on three temperature scales is 37 deg C, 98.4 deg F and 310 deg K.

The temperature 301.4 deg C is 574.6 deg F and 574.6 deg K (its value is same on the Fahrenheit as well as Kelvin scale).

## Problem

In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:
\begin{align}
F=\left(\frac{9}{5}\right)C+32
\end{align}

- Draw the graph of the linear equation above using Celsius for $x$-axis and Fahrenheit for $y$-axis.
- If the temperature is 30 deg C, what is the temperature in Fahrenheit?
- If the temperature is 95 deg F, what is the temperature in Celsius?
- If the temperature is 0 deg C, what is the temperaure in Fahrenheit and if the temperature is 0 deg F, what is the temperature is Celsius?
- Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.

## Related

- Calorimetry
- Zeroth law of thermodynamics