Question

In 1964, the temperature in the Siberian village of Oymyakon reached $- {71^0}\,C$. What temperature is this on the Fahrenheit scale?

Answer 1

Temperature is the fundamental property of a material and gives the measure of heat contained by a body. There are many scales to measure the temperature.The most commonly used are the Celsius and Fahrenheit scales.

Formula used:
The formula of conversion from Celsius to Fahrenheit is given as,
$^0C = \dfrac{5}{9}{(^0}F - 32)$
where $C$ denotes the temperature in Celsius while $F$ denotes the temperature in Fahrenheit.

Complete step by step answer:
We are given the temperature in Celsius and we are asked to convert it to Fahrenheit.
Using the formula for conversion as,
$^0C = \dfrac{5}{9}{(^0}F - 32)$
We know that $^0C = - 71$ .
Substituting in the formula we get,
$- 71 = \dfrac{5}{9}{(^0}F - 32)$
Now rearranging the terms, we get,
$( - 71 \times \dfrac{9}{5}) + 32{ = ^0}F$
Solving the equation for the value of temperature in Fahrenheit scale,
$^0F = - 127.8 + 32$
${ \therefore ^0}F = - 95.8$

So $- {71^0}\,C$ in the Celsius scale is equivalent to $- 95.8{\,^0}F$ in the Fahrenheit scale.

Note: We also have another scale known as the Kelvin scale. This scale is adopted as the standard and represents approximately a $273{\,^0}$ interval in the defined points.Kelvin scale is widely used in scientific measurements. The conversion formula of Celsius to Kelvin is given as $^0K{ = ^0}C + 273$ .