Question

Convert \[100\] degree Fahrenheit into Celsius and Kelvin scales of temperature.

Answer 1

Hint: The temperature \[T\] in degrees Celsius will be identical to the temperature \[T\] in degrees Fahrenheit minus thirty two and the ratio of five to nine. Calculate the temperature in Kelvin scale. For this we can add a certain value to the Celsius scale temperature in order to obtain the Kelvin scale temperature. Substitute the values in it. This will help you in answering this question.

Complete answer:
The temperature \[T\] in degree Celsius will be identical to the product of temperature \[T\] in degrees Fahrenheit minus thirty two and the ratio of five to nine. That is we can write that,
\[{{T}_{\left( {}^\circ C \right)}}=\left( {{T}_{\left( {}^\circ F \right)}}-32 \right)\times \dfrac{5}{9}\]
It has been already mentioned in the question that the value of temperature in Fahrenheit scale can be written as,
\[{{T}_{\left( {}^\circ F \right)}}=100{}^\circ F\]
Substituting the values in it will give,
\[{{T}_{\left( {}^\circ C \right)}}=\left( 100-32 \right)\times \dfrac{5}{9}=37.778{}^\circ C\]
Therefore the temperature in degree Celsius scale equivalent to the temperature in degree Fahrenheit scale has been obtained. Now let us calculate the temperature in Kelvin scale. For this we can add a certain value to the Celsius scale temperature in order to obtain the Kelvin scale temperature. The value which is to be added can be written as,
\[{{T}_{\left( K \right)}}={{T}_{\left( {}^\circ C \right)}}+273.15\]
Therefore we can substitute the value of temperature in Celsius scale in this equation in order to calculate the same in Kelvin scale. That is,
\[{{T}_{\left( K \right)}}=37.778+273.15=310.928K\]
Therefore the value of temperature in the Kelvin scale has been obtained. Hence the temperature given in Fahrenheit has been converted into degree Celsius scale and Kelvin scale.

Note:
The Fahrenheit scale is defined as a temperature scale which uses the degree Fahrenheit as the unit. The degree Celsius is the unit for measuring temperature on the Celsius scale. This scale of temperature is initially called the centigrade scale. ​