Q1PE - College Physics (Urone)

Question

Question: What is the Fahrenheit temperature of a person with a 39.0ºC fever

Step-by-Step Solution

Answer

Answer:

A person with a temperature of  has the equal temperature as   on the Fahrenheit scale.

Step 1: Difference between Fahrenheit and Celcius

You need to find the Celcius corresponding Fahrenheit temperature. So the relation between the two-scale is,

  $$\begin{gathered} \mathrm{C}=\frac{5}{9}\left(\mathrm{F}-32\right) \\ \mathrm{C}\times \frac{9}{5}=\left(\mathrm{F}-32\right) \end{gathered}$$

Step 2: Calculation

When T= , Substituting this into the above equation, we get,

 $$\begin{gathered} \text{39.0}°\text{C}\times \frac{9}{5}=\left(\text{F}-\text{32}\right) \\ 70.2°\text{C}=\text{F}-\text{32} \\ \text{F}=102.2°\text{F} \end{gathered}$$

Therefore, a person with a temperature   has the same temperature as a person with a temperature   on the Fahrenheit scale. Thermometers are used to measure temperature on well-defined measurement scales. Different temperature scales can be developed by finding easily   reproducible temperatures, such as freezing and boiling water at standard atmospheric pressure.