Chapter 5, Problem 50A

(a)

Interpretation Introduction

Interpretation: Conversion of $-201°\text{F}$ to kelvins needs to be explained.

Concept Introduction: To convert one unit into another then first needs to choose a conversion factor, this cancels the units and omits the units in the result. The relation between conversion of $°\text{F}$ to Kelvin as follows:

  $\text{K}=\left(°\text{F}-32\right)\times \frac{5}{9}+273.15$

Answer to Problem 50A

Converted value of $-201°\text{F}$ in Kelvin is $143.71$ K.

Explanation of Solution

Conversion of $-201°\text{F}$ to Kelvin is as follows:

  $\begin{array}{c}\text{K}=\left(°\text{F}-32\right)\times \frac{5}{9}+273.15\\ =\left(-201-32\right)\times \frac{5}{9}+273.15\\ =-233\times \frac{5}{9}+273.15\\ =-\frac{1165}{9}+273.15\end{array}$

  $\begin{array}{c}\text{K}=-129.44+273.15\\ =143.71\end{array}$

Hence, the value of $-201°\text{F}$ in Kelvin temperature scale is $143.71$ K.

(b)

Interpretation Introduction

Interpretation: Conversion of $-201°\text{C}$ to kelvins needs to be explained.

Concept Introduction: To convert one unit into another then first needs to choose a conversion factor, this cancels the units and omits the units in the result. The relationship between Kelvin and Celsius scale is as follows:

  $T_{°C}+273=T_{\text{K}}$

Answer to Problem 50A

Converted value of $-201°\text{C}$ in kelvin is $\text{72}$ K.

Explanation of Solution

Conversion of $-201°\text{C}$ to Kelvin is as follows:

  $\begin{array}{c}{T}_{\text{K}}=T_{°\text{C}}+273\\ =-201\text{+273}\\ \text{=72}\end{array}$

Hence, The value of $-201°\text{C}$ in Kelvin temperature is $\text{72}$ K.

(c)

Interpretation Introduction

Interpretation: Conversion of $351°\text{C}$ to Fahrenheit degree needs to be explained.

Concept Introduction: To convert one unit into another then first needs to choose a conversion factor, this cancels the units and omits the units in the result. The relationship between Fahrenheit and Celsius scale is as follows:

  $T_{°F}=1.80\left(T_{°C}\right)+32$

Answer to Problem 50A

Converted value of $351°\text{C}$ in $°\text{F}$ scale is $663.8°\text{F}$ .

Explanation of Solution

Conversion of $351°\text{C}$ to $°\text{F}$ is as follows:

  $\begin{array}{c}{T}_{°F}=1.80\left(T_{°C}\right)+32\\ =1.80\left(351\right)+32\\ =631.8+32\\ =663.8\end{array}$

Hence, $351°\text{C}$ in terms of $°\text{F}$ value is $663.8°\text{F}$ .

(d)

Interpretation Introduction

Interpretation: Conversion of $-150°\text{F}$ to Celsius degree needs to be explained.

Concept Introduction: To convert one unit into another then first needs to choose a conversion factor, this cancels the units and omits the units in the result. The relationship between Fahrenheit and Celsius scale is as follows:

  $T_{°C}=\frac{T_{°F}-32}{1.80}$

Answer to Problem 50A

Converted value of $-150°\text{F}$ in Celsius is $-101.11$ .

Explanation of Solution

Conversion of $-150°\text{F}$ to Celsius is as follows:

  $\begin{array}{c}{T}_{°C}=\frac{T_{°F}-32}{1.80}\\ =\frac{-150-32}{1.80}\\ =\frac{-182}{1.80}\\ =-101.11\end{array}$

Hence, The Celsius scale value of $-150°\text{F}$ is $-101.11$ .