Chapter 2, Problem 53PE

(a)

Interpretation Introduction

Interpretation:

The temperature in Fahrenheit has to be converted into degree Celsius 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 $\left({}^{\text{o}}\text{F}\right)$

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 53PE

The temperature in Celsius is $\text{72}{\text{.2}}^{\text{o}}\text{C}\text{.}$

Explanation of Solution

Given,

The temperature is ${\text{162}}^{\text{o}}\text{F}\text{.}$

The temperature in Celsius is calculated as,

  $\begin{array}{l}{}^{\text{o}}\text{C=}\frac{{}^{\text{o}}\text{F-32}}{\text{1}\text{.8}}\\ {}^{\text{o}}\text{C=}\frac{{\text{162}}^{\text{o}}\text{F-32}}{\text{1}\text{.8}}\\ {}^{\text{o}}\text{C=72}{\text{.2}}^{\text{o}}\text{C}\end{array}$

The temperature in Celsius is $\text{72}{\text{.2}}^{\text{o}}\text{C}\text{.}$

(b)

Interpretation Introduction

Interpretation:

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

Concept Introduction:

Fahrenheit to Celsius conversion:

Fahrenheit can be converted to Celsius using the formula,

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

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 53PE

The temperature in Kelvin is $\text{255}\text{.4}\text{K}\text{.}$

Explanation of Solution

Given,

The temperature is $\text{0}{\text{.0}}^{\text{o}}\text{F}\text{.}$

The temperature in Kelvin is calculated as,

  $\begin{array}{l}{}^{\text{o}}\text{C=}\frac{\text{0}{\text{.0}}^{\text{o}}\text{F-32}}{\text{1}\text{.8}}\\ {}^{\text{o}}\text{C=-17}{\text{.7}}^{\text{o}}\text{C}\end{array}$

From the calculated degree Celsius, the temperature in kelvin is calculated as,

  $\begin{array}{l}{\text{K=}}^{\text{o}}\text{C+273}\text{.15}\\ \text{K=-17}{\text{.7}}^{\text{o}}\text{C+273}\text{.15}\\ \text{K=255}\text{.4}\text{K}\end{array}$

The temperature in Kelvin is $\text{255}\text{.4}\text{K}\text{.}$

(c)

Interpretation Introduction

Interpretation:

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

Concept Introduction:

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 53PE

The temperature in Fahrenheit is $\text{-0}{\text{.40}}^{\text{o}}\text{F}\text{.}$

Explanation of Solution

Given,

The temperature is ${\text{-18}}^{\text{o}}\text{C}\text{.}$

The temperature in Fahrenheit is calculated as,

  $\begin{array}{l}{}^{\text{o}}\text{F=1}\text{.8}\left({}^{\text{o}}\text{C}\right)\text{+32}\\ {}^{\text{o}}\text{F=1}\text{.8}\left({\text{-18}}^{\text{o}}\text{C}\right)\text{+32}\\ {}^{\text{o}}\text{F=-0}{\text{.40}}^{\text{o}}\text{F}\end{array}$

The temperature in Fahrenheit is $\text{-0}{\text{.40}}^{\text{o}}\text{F}\text{.}$

(d)

Interpretation Introduction

Interpretation:

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

Concept Introduction:

Kelvin to Celsius conversion:

Kelvin can be converted to Celsius using the formula,

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

Answer to Problem 53PE

The temperature in degree Celsius is ${\text{-61}}^{\text{o}}\text{C}\text{.}$

Explanation of Solution

Given,

The temperature is $\text{212}\text{K}\text{.}$

The temperature in degree Celsius is calculated as,

  $\begin{array}{l}{}^{\text{o}}\text{C=K-273}\text{.15}\\ {}^{\text{o}}\text{C=212-273}\text{.15}\\ {}^{\text{o}}{\text{C=-61}}^{\text{o}}\text{C}\end{array}$

The temperature in degree Celsius is ${\text{-61}}^{\text{o}}\text{C}\text{.}$