Question

On the Fahrenheit scale water freezes at \[{32^0}F\] and boils at \[{212^0}F\] . What temperature is halfway between the freezing and boiling temperatures of water?

Answer 1

Hint: Given that water freezes at \[{32^0}F\] and boils at \[{212^0}F\] . The temperature halfway between the freezing and boiling temperature of water is the average temperature of the given two temperatures. It means measuring the halfway point is the mean of the given temperature.

Complete step-by-step solution:
Temperature can be measured in different scales like Celsius, Fahrenheit, and kelvin scale. The Fahrenheit scale is used to record temperature.
Water is a polar solvent which has one oxygen atom and two hydrogen atoms. The molecular formula of water is \[{H_2}O\]
Freezing point is the temperature at which the water which is in liquid state can freeze to form ice. The freezing point of water in Fahrenheit scale is \[{32^0}F\]
Boiling point is the temperature at which the water which is in liquid state can boil to form water vapor. The boiling point of water in Fahrenheit scale is \[{212^0}F\]
The temperature which is halfway between the freezing and boiling temperatures of water is the average of the two given temperatures
Thus, it can be written as \[\dfrac{{{{32}^0}F + {{212}^0}F}}{2}\]
By simplifying the above equation, the value will be
\[\dfrac{{244}}{2} = {122^0}F\]
Thus, the temperature which is halfway between the freezing and boiling temperatures of water is \[{122^0}F\].

Note: The freezing point and boiling point of water will be different on different scales. In Celsius scale the freezing point of water is \[{0^0}C\] and the boiling point of water is \[{100^0}C\] The Celsius and Fahrenheit temperatures were related by the factor \[F = \dfrac{9}{5}C + 32\] and the kelvin and Celsius scale were related by \[C = 273 + K\]