Question

What is the normal body temperature in degrees Fahrenheit?
( a ) $ {{98.6}^{{}^\circ }}F $
( b ) $ {{98.4}^{{}^\circ }}F $
( c ) $ {{100.7}^{{}^\circ }}F $
( d ) $ {{104.4}^{{}^\circ }}F $

Answer 1

Hint: To solve this problem we will use relation between Fahrenheit scale and Celsius scale to convert human body temperature in Celsius which is equals to $ {{37}^{{}^\circ }}C $ , to convert it into Fahrenheit scale using relation $ F=\dfrac{9}{5}C+32 $

Complete step-by-step answer:
Before we find normal body temperature in degrees Fahrenheit, lets see what are different temperature scales that are used in modern days to calculate temperature and what the different relations between temperature scales are.
There are mostly three scales for temperature that are degree Fahrenheit, degree Celsius and Kelvin.
Now, first see what Fahrenheit scale is. Fahrenheit scale is a temperature scale that is based on the freezing point of water at $ {{32}^{{}^\circ }}F $ and the boiling water at $ {{212}^{{}^\circ }}F $ .
Now, first see what the Celsius scale is. Celsius scale is a temperature scale that is based on the freezing point of water at $ {{0}^{{}^\circ }}C $ and the boiling water at $ {{100}^{{}^\circ }}C $ .
Now, first see what Fahrenheit scale is. Fahrenheit scale is defined as a fraction $ \dfrac{1}{273.16} $ of the temperature of the triple point ( temperature at which water is solid, liquid and gaseous state coexist in equilibrium ) of water.
Now, we see relation between all three scales mentioned above
Relation between Fahrenheit and Celsius is given by formula $ F=\dfrac{9}{5}C+32 $ , where F denotes Fahrenheit degree and denotes Celsius degree.
Relation between Kelvin and Celsius is given by formula C = K - 273.15 , where K denotes Kelvin scale and C denotes Celsius Degree.
Now, we know that human body temperature in Celsius is $ {{37}^{{}^\circ }}C $ .
So, to get human body temperature what we will do is we will put C = 37 in formula $ F=\dfrac{9}{5}C+32 $ ,
 $ F=\dfrac{9}{5}(37)+32 $
On solving, we get
 $ F=9(7.4)+32 $
On simplifying, we get
 $ F={{98.6}^{{}^\circ }}F $
So, the correct answer is “Option A”.

Note: while solving problems related to temperature conversion, one must remember the relation between different scales such as F to C and K to C. here, calculation should be very precise and accurate as decimal value also affects the conversion of temperature.