Chapter 15, Problem 1RCQ

To determine

The temperatures of freezing water and boiling water on Celsius and Fahrenheit scales.

Answer to Problem 1RCQ

Solution:

The freezing point of water is $0°\text{C}$ and the boiling point of water is $\text{1}00°\text{C}$ on Celsius scale and on the Fahrenheit scale is $\text{32}°\text{F}$ and $\text{212}°\text{F}$ respectively.

Explanation of Solution

The freezing point of water is the temperature at which the water is converted from liquid state to solid state and the boiling point of water is the temperature at which the liquid state of water is converted into the gaseous state.
Given:
We know the freezing point of water and the boiling point of water is $0°\text{C}$ and $\text{1}00°\text{C}$ respectively.

Formula used:

Given below the formula to convert a temperature in Celsius scales to Fahrenheit scale.

$\frac{t_F-32}{180}=\frac{t_c}{100}$

Calculation:
The freezing point of water,

$\begin{array}{l}\frac{t_F-32}{180}=\frac{t_c}{100}\\ \Rightarrow \frac{t_F-32}{180}=\frac{0}{100}\\ \Rightarrow t_F-32=\frac{0}{100}\\ \Rightarrow t_F=32\\ \Rightarrow t_F={32}^{}℉\end{array}$

For the boiling point of water in Fahrenheit,
$\begin{array}{l}\frac{t_F-32}{180}=\frac{t_c}{100}\\ \Rightarrow \frac{t_F-32}{180}=\frac{100}{100}\\ \Rightarrow t_F-32=180\\ \Rightarrow t_F=180+32\\ \Rightarrow t_F={212}^{}℉\end{array}$

Conclusion:

The freezing point of water is $0°\text{C}$ and the boiling point of water is $\text{1}00°\text{C}$ on Celsius scale and on the Fahrenheit scale is $\text{32}°\text{F}$ and $\text{212}°\text{F}$ respectively.