Question

At what temperature are Celsius and Fahrenheit equal?

Answer 1

Hint :Celsius, Fahrenheit, and Kelvin are the three main temperature scales. Temperature conversion equations can be used to convert temperatures from one scale to another. At a single pressure and temperature known as the triple point, the three phases of water (ice, liquid water, and water vapor) can coexist.

Complete Step By Step Answer:
Celsius: The degree Celsius is a temperature unit on the Celsius scale, which was originally known as the centigrade scale. The degree Celsius (symbol: $ {}^\circ C $ ) can refer to a specific temperature on the Celsius scale or a unit used to indicate a difference or range of temperatures. It is named after the Swedish astronomer Anders Celsius ( $ 1701 $ – $ 1744 $ ), who invented a similar temperature scale.
Fahrenheit: The Fahrenheit scale is a temperature scale based on one proposed by physicist Daniel Gabriel Fahrenheit ( $ 1686 $ – $ 1736 $ ) in $ 1724 $ . The unit is the degree Fahrenheit (symbol: $ {}^\circ F $ ). There are several accounts of how he first defined his scale, but the original paper suggests that the lower defining point, $ 0\text{ }{}^\circ F $ , was established as the freezing temperature of a brine solution made from a mixture of water, ice, and ammonium chloride (a salt)
The formulas for converting between degree Celsius and degree Fahrenheit are:
 $ {}^\circ F=({}^\circ C\times \dfrac{9}{5})+32 $
 $ {}^\circ C=({}^\circ F-32)\times \dfrac{5}{9} $
Thus,
We have $ {}^\circ C=({}^\circ C\times \dfrac{9}{5})+32 $
 $ \Rightarrow $ $ {}^\circ C-({}^\circ C\times \dfrac{9}{5})=32 $
 $ \Rightarrow $ $ \dfrac{-4}{5}\times {}^\circ C=32 $
 $ \Rightarrow $ $ {}^\circ C=-32\times \dfrac{5}{4} $
 $ \Rightarrow $ $ {}^\circ C=-40 $
Similarly,
 $ \Rightarrow $ $ {}^\circ F=({}^\circ F\times \dfrac{9}{5})+32 $
 $ \Rightarrow $ $ {}^\circ F-({}^\circ F\times \dfrac{9}{5})=32 $
 $ \Rightarrow $ $ \dfrac{-4}{5}\times {}^\circ F=32 $
 $ \Rightarrow $ $ {}^\circ F=-32\times \dfrac{5}{4} $
 $ \Rightarrow $ $ {}^\circ F=-40 $
The temperature scales Celsius and Fahrenheit are both important. The Celsius scale is used all over the world, whereas the Fahrenheit scale is primarily used in the United States. Temperatures in degrees are equal at one point on the Fahrenheit and Celsius scales. This is equivalent to $ -40\text{ }{}^\circ C $ or $ -40\text{ }{}^\circ F $ .

Note :
Temperature is measured by thermometers using well-defined scales. Fahrenheit, Celsius, and Kelvin are the three most common temperature scales. Identifying two reproducible temperatures yields temperature scales. Water freezing and boiling temperatures at standard atmospheric pressure are frequently used.