Chapter 2, Problem 54PE

(a)

Interpretation Introduction

Interpretation:

The temperature in Celsius has to be converted into degree Fahrenheit including an equation.

Concept Introduction:

Temperature:  The measurement of hotness or coldness of an object is temperature.  The three temperature scales as,

1. 1) Celsius $\left({}^{\text{o}}\text{C}\right)$
2. 2) Kelvin $\left(\text{K}\right)$
3. 3) Fahrenheit $\left({}^{\text{o}}\text{F}\right)$

Celsius to Fahrenheit conversion:

Celsius can be converted to Fahrenheit using the formula,

  ${}^{\text{o}}\text{F=1}\text{.8}\left({}^{\text{o}}\text{C}\right)\text{+32}$

Answer to Problem 54PE

The temperature in degree Fahrenheit is $\text{90}{\text{.}}^{\text{o}}\text{F}\text{.}$

Explanation of Solution

Given,

The temperature is ${\text{32}}^{\text{o}}\text{C}\text{.}$

The temperature in Fahrenheit is calculated as,

  $\begin{array}{l}{}^{\text{o}}\text{F=1}\text{.8}\left({}^{\text{o}}\text{C}\right)\text{+32}\\ {}^{\text{o}}\text{F=1}\text{.8}\left({\text{32}}^{\text{o}}\text{C}\right)\text{+32}\\ {}^{\text{o}}\text{F=90}{\text{.}}^{\text{o}}\text{F}\end{array}$

The temperature in degree Fahrenheit is $\text{90}{\text{.}}^{\text{o}}\text{F}\text{.}$

(b)

Interpretation Introduction

Interpretation:

The temperature in Fahrenheit has to be converted into Celsius including an equation.

Concept Introduction:

Fahrenheit to Celsius conversion:

Fahrenheit can be converted to Celsius using the formula,

  ${}^{\text{o}}\text{C=}\frac{{}^{\text{o}}\text{F-32}}{\text{1}\text{.8}}$

Answer to Problem 54PE

The temperature in Celsius is $\text{-22}{\text{.6}}^{\text{o}}\text{C}\text{.}$

Explanation of Solution

Given,

The temperature is $\text{-8}{\text{.6}}^{\text{o}}\text{F}\text{.}$

The temperature in Celsius is calculated as,

  $\begin{array}{l}{}^{\text{o}}\text{C=}\frac{{}^{\text{o}}\text{F-32}}{\text{1}\text{.8}}\\ {}^{\text{o}}\text{C=}\frac{\text{-8}{\text{.6}}^{\text{o}}\text{F-32}}{\text{1}\text{.8}}\\ {}^{\text{o}}\text{C=-22}{\text{.6}}^{\text{o}}\text{C}\end{array}$

The temperature in Celsius is $\text{-22}{\text{.6}}^{\text{o}}\text{C}\text{.}$

(c)

Interpretation Introduction

Interpretation:

The temperature in degree Celsius has to be converted into Kelvin including an equation.

Concept Introduction:

Celsius to Kelvin conversion:

Celsius can be converted to Kelvin using the formula,

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

Answer to Problem 54PE

The temperature in Kelvin is $\text{546}\text{K}\text{.}$

Explanation of Solution

Given,

The temperature is ${\text{273}}^{\text{o}}\text{C}\text{.}$

The temperature in Kelvin is calculated as,

  $\begin{array}{l}{\text{K=}}^{\text{o}}\text{C+273}\text{.15}\\ {\text{K=273}}^{\text{o}}\text{C+273}\text{.15}\\ \text{K=546}\text{.15}\text{K}\end{array}$

The temperature in Kelvin is $\text{546}\text{K}\text{.}$

(d)

Interpretation Introduction

Interpretation:

The temperature in Kelvin has to be converted into degree Fahrenheit including an equation.

Concept Introduction:

Kelvin to Celsius conversion:

Kelvin can be converted to Celsius using the formula,

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

Celsius to Fahrenheit conversion:

Celsius can be converted to Fahrenheit using the formula,

  ${}^{\text{o}}\text{F=1}\text{.8}\left({}^{\text{o}}\text{C}\right)\text{+32}$

Answer to Problem 54PE

The temperature in degree Fahrenheit is ${\text{-300}}^{\text{o}}\text{F}\text{.}$

Explanation of Solution

Given,

The temperature is $\text{100}\text{K}\text{.}$

The temperature in degree Fahrenheit is calculated as,

  $\begin{array}{l}{}^{\text{o}}\text{C=K-273}\text{.15}\\ {}^{\text{o}}\text{C=100-273}\text{.15}\\ {}^{\text{o}}{\text{C=-173}}^{\text{o}}\text{C}\end{array}$

From the calculated degree celsius, the Fahrenheit is calculated as,

  $\begin{array}{l}{}^{\text{o}}\text{F=1}\text{.8}\left({}^{\text{o}}\text{C}\right)\text{+32}\\ {}^{\text{o}}\text{F=1}\text{.8}\left({\text{-173}}^{\text{o}}\text{C}\right)\text{+32}\\ {}^{\text{o}}{\text{F=-300}}^{\text{o}}\text{F}\end{array}$

The temperature in degree Fahrenheit is ${\text{-300}}^{\text{o}}\text{F}\text{.}$