---

Example 1.11: Conversion from Celsius

Normal body temperature has been commonly accepted as 37.0 °C (although it varies depending on time of day and method of measurement, as well as among individuals). What is this temperature on the kelvin scale and on the Fahrenheit scale?

Solution

\(T_{\mathrm{body}}\) \(= 37.\ \mathrm{°aC}\)


\(T_{\mathrm{body}}\) \(= 37.\ \mathrm{°aC}\)

\(\ \ \ =310.\ \mathrm{K}\)


\(\mathrm{temperature}_{\mathrm{in\ fahrenheit}}\) \(= \dfrac{(T_{\mathrm{body}} - 0.0\ \mathrm{°aC}) \cdot 9}{5\ \mathrm{K}} + 32\)

\(\ \ \ =\dfrac{(310.\ \mathrm{K} - 0.0\ \mathrm{°aC}) \cdot 9}{5\ \mathrm{K}} + 32\)

\(\ \ \ =\dfrac{37.0\ \mathrm{K} \cdot 9}{5\ \mathrm{K}} + 32\)

\(\ \ \ =\dfrac{333.0\ \mathrm{K}}{5\ \mathrm{K}} + 32\)

\(\ \ \ =66.6 + 32\)

\(\ \ \ =99.\)