Chapter 14, Problem 106A

Interpretation Introduction

Interpretation: The mathematical relationship between the Kelvin and Celsius temperature scales needs to be determined.

Concept Introduction: Temperature is defined as a measure of the hotness and coldness of an object. There are three temperature scales: Celsius scale, Fahrenheit scale, and Kelvin scale. All three units of temperature are interconvertible.

Explanation of Solution

The Celsius temperature scale is also called the centigrade temperature scale. According to this scale, 0 is the freezing point of water and 100 is the boiling point of water. On the other hand, the Kelvin temperature scale is the base unit for temperature. The mathematical relationship between the Kelvin and Celsius temperature is as follows:

  $0{}^{\text{o}}\text{C}=\text{273}\text{.15 K}$

Thus, the mathematical relation between the Kelvin and Celsius temperature scales is as follows:

  $\begin{array}{c}T{}^o\text{C}=0+273.15\text{ K}\\ =\text{273}\text{.15K}\end{array}$

Thus, at 0 degree Celsius, the temperature in Kelvin is 273.15 K.