What is 101.5 °F in °C?
The correct Answer and Explanation is:
To convert 101.5 °F to Celsius (°C), we use the following formula:
[
°C = \frac{5}{9} \times (°F – 32)
]
Substituting 101.5 °F into the formula:
[
°C = \frac{5}{9} \times (101.5 – 32) = \frac{5}{9} \times 69.5 = 38.61 \,°C
]
So, 101.5 °F is approximately 38.61 °C.
Explanation of the Conversion Process
In temperature conversion between Fahrenheit and Celsius, the relationship between the two scales is linear but offset. The Fahrenheit scale is based on setting 32°F as the freezing point of water and 212°F as its boiling point, while the Celsius scale sets 0°C as the freezing point and 100°C as the boiling point of water.
To convert a temperature from Fahrenheit to Celsius, you subtract 32 from the Fahrenheit temperature. This step adjusts for the difference in where the scales define their starting points for freezing water. Next, multiplying the result by (\frac{5}{9}) accounts for the fact that each Fahrenheit degree represents a smaller change in temperature than each Celsius degree (there are 180 Fahrenheit degrees between freezing and boiling points of water, but only 100 Celsius degrees).
In this case, converting 101.5 °F is particularly important in medical and nursing contexts. Fevers are often a concern in patients, and understanding the temperature in Celsius can help international healthcare providers interpret and communicate the patient’s condition. A temperature of 101.5 °F (38.61 °C) indicates a fever, which could suggest infection, inflammation, or other health issues. This information would guide further assessment and treatment, such as administering antipyretics to reduce fever or ordering diagnostic tests to identify the underlying cause.