Chapter 1, Problem 1.24QP

(a)

Interpretation Introduction

Interpretation:

The unit conversions of the given set of temperatures have to be given.

Concept introduction:

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

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

To convert: The unit of the given temperature from degree Fahrenheit to degree Celsius

Explanation of Solution

Convert the given temperature into degree Celsius unit

Given temperature is $\text{105}{}^{\text{o}}\text{F}$

$\begin{array}{l}{\text{Conversion of }}^{\text{o}}\text{F}\text{into}{}^{\text{o}}\text{C:}\\ {}^{\text{o}}\text{C}\text{=}\left({}^{\text{o}}\text{F}\text{-}{\text{32}}^{\text{o}}\text{F}\right)\text{×}\frac{{\text{5}}^{\text{o}}\text{C}}{{\text{9}}^{\text{o}}\text{F}}\\ \text{=}\left({\text{105}}^{\text{o}}\text{F}\text{-}{\text{32}}^{\text{o}}\text{F}\right)\text{×}\frac{{\text{5}}^{\text{o}}\text{C}}{{\text{9}}^{\text{o}}\text{F}}\\ \text{=}{\text{41}}^{\text{o}}\text{C}\end{array}$

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

(b)

Interpretation Introduction

Interpretation:

The unit conversions of the given set of temperatures have to be given.

Concept introduction:

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

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

To convert: The unit of the given temperature from degree Celsius to degree Fahrenheit

Explanation of Solution

Convert the given temperature into degree Celsius unit

Given temperature is $\text{-11}\text{.5}{}^{\text{o}}\text{C}$

$\begin{array}{l}{\text{Conversion of }}^{\text{o}}\text{C}\text{into}{}^{\text{o}}\text{F:}\\ {}^{\text{o}}\text{F}\text{=}\left({}^{\text{o}}\text{C}\text{×}\frac{{\text{9}}^{\text{o}}\text{F}}{{\text{5}}^{\text{o}}\text{C}}\right)\text{+}{\text{32}}^{\text{o}}\text{F}\\ \text{=}\left(\text{-11}{\text{.5}}^{\text{o}}\text{C}\text{×}\frac{{\text{9}}^{\text{o}}\text{F}}{{\text{5}}^{\text{o}}\text{C}}\right)\text{+}{\text{32}}^{\text{o}}\text{F}\\ \text{=}\text{11}{\text{.3}}^{\text{o}}\text{F}\end{array}$

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

(c)

Interpretation Introduction

Interpretation:

The unit conversions of the given set of temperatures have to be given.

Concept introduction:

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

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

To convert: The unit of the given temperature from degree Celsius to degree Fahrenheit

Explanation of Solution

Convert the given temperature into degree Celsius unit

Given temperature is $\text{6,300}{}^{\text{o}}\text{C}$

$\begin{array}{l}{\text{Conversion of }}^{\text{o}}\text{C}\text{into}{}^{\text{o}}\text{F:}\\ {}^{\text{o}}\text{F}\text{=}\left({}^{\text{o}}\text{C}\text{×}\frac{{\text{9}}^{\text{o}}\text{F}}{{\text{5}}^{\text{o}}\text{C}}\right)\text{+}{\text{32}}^{\text{o}}\text{F}\\ \text{=}\left({\text{6300}}^{\text{o}}\text{C}\text{×}\frac{{\text{9}}^{\text{o}}\text{F}}{{\text{5}}^{\text{o}}\text{C}}\right)\text{+}{\text{32}}^{\text{o}}\text{F}\\ \text{=}{\text{11,372}}^{\text{o}}\text{F}\end{array}$

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