Thank you for visiting Can a temperature in Celsius ever have the same value in Fahrenheit If so at what temperature does Fahrenheit equal Celsius. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The Fahrenheit and Celsius scales have the same numerical value at -40 degrees. The change in temperature in Fahrenheit degrees is nine-fifths of the change in Celsius degrees. For example, a 40.0°F drop equates to a 22.2°C decrease.
Explanation:
There is indeed one temperature point where the Fahrenheit and Celsius scales read the same numerical value, which is -40 degrees. Below is how you can see that both scales match:
Using the formula to convert Fahrenheit to Celsius which is C = 5/9 × (F − 32), setting C equal to F and solving for the temperature gives us:
- 9/5 × C + 32 = C
- 9/5 × C - C = -32
- 4/5 × C = -32
- C = -40
Therefore, -40°C equals -40°F. For the second part of the question, the Fahrenheit and Kelvin scales never match numerically as they start from different zero points and have different size degrees.
The relationship between a change in Fahrenheit and Celsius is also straightforward. A change in temperature in Fahrenheit degrees is always nine-fifths of the change in Celsius degrees. This can be shown by the basic conversion formula:
- ∆F = 9/5 × âˆ†C
If a cold front drops the temperature by 40.0°F, the corresponding decrease in Celsius would be:
- ∆C = 5/9 × âˆ†F = 5/9 × 40 = 22.2°C
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