Question

A temperature difference of $30{}^{o}C$ in the Fahrenheit scale will be:
A. 54${}^{o}F$
B. 27 ${}^{o}F$
C. 86 ${}^{o}F$
D. -54 ${}^{o}F$

Answer 1

In this question we are asked to convert the temperature given in degree Celsius to degree Fahrenheit. We know the formula to convert the temperature from Celsius to Fahrenheit. Therefore, we will be using this formula to calculate our answer.

Formula used: $\left( T{}^{o}C\times \dfrac{9}{5} \right)+32={}^{o}F$
Where,
${}^{o}F$ is the temperature in Fahrenheit
$T{}^{o}C$ is the given temperature in degree Celsius

Complete step by step answer:
A Celsius scale is a temperature scale that is based on the freezing point of water at zero degree Celsius and boiling point of water at 100 degree Celsius. On the other hand, Fahrenheit scale, is a temperature scale based on the freezing point of water at 32 degree Fahrenheit and boiling point of water at 212 degree Fahrenheit.
We know from formula,
$\left( T{}^{o}C\times \dfrac{9}{5} \right)+32={}^{o}F$
It is given that temperature difference is $30{}^{o}C$
Therefore, after substituting the given value
We get,
$\left( 30{}^{o}C\times \dfrac{9}{5} \right)+32={}^{o}F$
On solving
We get,
${}^{o}F=86{}^{o}F$

So, the correct answer is “Option C”.

Note: The Celsius scale was introduced by and also named after Swedish astronomer Anders Celsius in the year 1742 A.D. The average human body temperature is taken as 32 degree Celsius. Similarly, the Fahrenheit scale was introduced and named after the physicist Daniel Gabriel Fahrenheit in the year 1720 A.D. The absolute zero value in the Fahrenheit scale is -459.67 degree Fahrenheit. It is the first standardized scale to be used in the world.