Chapter 5, Problem 47A

(a)

Interpretation Introduction

Interpretation: Conversion of $-155°\text{C}$ 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 47A

Converted value of $-155°\text{C}$ in kelvin is $\text{118}$ .

Explanation of Solution

Conversion of $-155°\text{C}$ to Kelvin is as follows:

  $\begin{array}{c}{T}_{\text{K}}=T_{°\text{C}}+273\\ =-155\text{+273}\\ \text{=118}\end{array}$

Hence, $-155°\text{C}$ in terms of Kelvin temperature value is $\text{118}$ K.

(b)

Interpretation Introduction

Interpretation: Conversion of $200°\text{C}$ 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 47A

Converted value of $200°\text{C}$ in Kelvin is $\text{473}$ .

Explanation of Solution

Conversion of $200°\text{C}$ to Kelvin is as follows:

  $\begin{array}{c}{T}_{\text{K}}=T_{°\text{C}}+273\\ =200\text{+273}\\ \text{=473}\end{array}$

Hence, $200°\text{C}$ in terms of Kelvin temperature value is $\text{473}$ K.

(c)

Interpretation Introduction

Interpretation: Conversion of $-52°\text{C}$ 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 47A

Converted value of $-52°\text{C}$ in kelvin is $\text{221}$ .

Explanation of Solution

Conversion of $-52°\text{C}$ to Kelvin is as follows:

  $\begin{array}{c}{T}_{\text{K}}=T_{°\text{C}}+273\\ =-52\text{+273}\\ \text{=221}\end{array}$

Hence, $-52°\text{C}$ in terms of Kelvin temperature value is $\text{221}$ K.

(d)

Interpretation Introduction

Interpretation: Conversion of $101°\text{F}$ 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 47A

Converted value of $101°\text{F}$ in kelvin is $311.45$ .

Explanation of Solution

Conversion of $101°\text{F}$ to Kelvin is as follows:

  $\begin{array}{c}\text{K}=\left(101°\text{F}-32\right)\times \frac{5}{9}+273.15\\ =69\times \frac{5}{9}+273.15\\ =38.3+273.15\\ =311.45\end{array}$

Hence, $101°\text{F}$ in terms of Kelvin temperature value is $311.45$ K.

(e)

Interpretation Introduction

Interpretation: Conversion of $-52°\text{F}$ 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 47A

Converted value of $-52°\text{F}$ in Kelvin is $226.48$ .

Explanation of Solution

The relation between conversion of $°\text{F}$ to Kelvin as follows:

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

Conversion of $-52°\text{F}$ to Kelvin is as follows:

  $\begin{array}{c}\text{K}=\left(-52°\text{F}-32\right)\times \frac{5}{9}+273.15\\ =-84\times \frac{5}{9}+273.15\\ =-46.67+273.15\\ =226.48\end{array}$

Hence, $-52°\text{F}$ in terms of Kelvin temperature value is $226.48$ K.

(f)

Interpretation Introduction

Interpretation: Conversion of $-196°\text{F}$ 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 47A

Converted value of $-196°\text{F}$ in Kelvin is $146.48$ .

Explanation of Solution

Conversion of $-196°\text{F}$ to Kelvin is as follows:

The relation between $°\text{F}$ to Kelvin as follows:

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

  $\begin{array}{c}\text{K}=\left(-196°\text{F}-32\right)\times \frac{5}{9}+273.15\\ =-228\times \frac{5}{9}+273.15\\ =-126.67+273.15\\ =146.48\end{array}$

Hence, $-196°\text{F}$ in terms of Kelvin temperature value is $146.48$ K.