Q. 3.96 - An Introduction to General, Organic, and Biological Chemistry

Question

The highest recorded body temperature that a person has survived is $46.5^{\circ }C$. Calculate that temperature in degrees Fahrenheit and in kelvins. 

Step-by-Step Solution

Answer

The Temperature in degree Fahrenheit is ${116}^{\circ }F$ and in Kelvin is $320K$

Step1: Given Information.

The following are the given information to find the temperature in Kelvin and fehrenheit:

Body Temperature of a person$=46.5^{\circ }C$

Step2: Find the Temperature in Fahrenheit.

The highest recorded human body temperature is $46.5$ degrees to Fahrenheit, which is converted as follows:

The temperature is calculated as follows:

$T_{\mathrm{c}}=\frac{T_{\mathrm{F}}-32}{1.8}$

Where,

$T_C$ is Temperature in Celsius and $T_F$ is Temperature in Fahrenheit.

By using and changing the above equation,

$T_{\mathrm{F}}=\left(T_{\mathrm{C}}\times 1.8\right)+32$

$$\begin{gathered} =\left(46.5\times 1.8\right)+32 \\ ={116}^{\circ }F \end{gathered}$$

Therefore, the temperature in Fahrenheit is ${116}^{\circ }F.$

Step3: Find the Temperature in Kelvin.

We converted the temperature into Kelvin.

Using the equation,

$T_{\mathrm{K}}=T_{\mathrm{C}}+273$

Where,

$T_K$ is Temperature in Kelvin and $T_C$is Temperature in Celsius

Substitute the values in above equation,

$T_{\mathrm{K}}=T_{\mathrm{C}}+273$

$$\begin{gathered} =46.5+273 \\ =320 K \end{gathered}$$

Thus, the Temperature in Kelvin is $320 K$