Chapter 1.4, Problem 1.4.1SR

Interpretation Introduction

Interpretation:

The given temperature has to be converted in degrees Celsius and in kelvins.

Concept introduction:

Conversion of temperature units in between degree Celsius and Fahrenheit is given by

$\begin{array}{l}{\text{Conversion of }}^{\text{o}}\text{F}\text{into}{}^{\text{o}}\text{C:}\\ {}^{\text{o}}\text{C}\text{=}\left({}^{\text{o}}\text{F}\text{-}{\text{32}}^{\text{o}}\text{F}\right)\text{×}\frac{{\text{5}}^{\text{o}}\text{C}}{{\text{9}}^{\text{o}}\text{F}}\\ {\text{Conversion of }}^{\text{o}}\text{C}\text{into}{}^{\text{o}}\text{F:}\\ {}^{\text{o}}\text{F}\text{=}\left({}^{\text{o}}\text{C}\text{×}\frac{{\text{9}}^{\text{o}}\text{F}}{{\text{5}}^{\text{o}}\text{C}}\right)\text{+}{\text{32}}^{\text{o}}\text{F}\\ {\text{Conversion of }}^{\text{o}}\text{C into}\text{K }\text{=}{}^{\text{o}}\text{C}\text{+}\text{273}\end{array}$

Answer to Problem 1.4.1SR

The given temperature is converted into degrees Celsius and in Kelvin as,

$\text{-128}\text{.6°F}\text{=}\text{-89}\text{.2°C}\text{=}\text{183}\text{.8}\text{K}$

Explanation of Solution

Given the coldest temperature as $\text{-128}\text{.6°F}$

$\begin{array}{l}{\text{Conversion of }}^{\text{o}}\text{F}\text{into}{}^{\text{o}}\text{C:}\\ {}^{\text{o}}\text{C}\text{=}\left({}^{\text{o}}\text{F}\text{-}{\text{32}}^{\text{o}}\text{F}\right)\text{×}\frac{{\text{5}}^{\text{o}}\text{C}}{{\text{9}}^{\text{o}}\text{F}}\\ \text{=}\left(\text{-128}{\text{.6}}^{\text{o}}\text{F}\text{-}{\text{32}}^{\text{o}}\text{F}\right)\text{×}\frac{{\text{5}}^{\text{o}}\text{C}}{{\text{9}}^{\text{o}}\text{F}}\\ \text{=}\text{-89}{\text{.2}}^{\text{o}}\text{C}\end{array}$

The unit of the given temperature was converted from degree Fahrenheit to degree Celsius by the application of conversion formula.

Next we have to convert the degrees Celsius temperature to Kelvin.

The temperature in degrees Celsius is $\text{-89}{\text{.2}}^{\text{o}}\text{C}$

$\begin{array}{l}{\text{Conversion of }}^{\text{o}}\text{C into}\text{K }\text{=}{}^{\text{o}}\text{C}\text{+}\text{273}\\ \text{ =}\text{-89}\text{.2}\text{+}\text{273}\\ \text{ =}\text{183}\text{.8}\text{K}\end{array}$

Conclusion

The unit conversions of the given temperature is calculated by the conversion formula.