# Temperature scale: When will Celsius and Faranheit scales agree with each other?

• FountainDew
In summary, the Celsius and Fahrenheit scales were created by different scientists at different times and use different reference points and intervals. They will never completely agree with each other, but intersect at certain temperature points. Celsius and Fahrenheit are two different units of temperature measurement, with Celsius being considered more scientific due to its use of the metric system and practical reference points. The Kelvin scale is the universal temperature scale used in scientific research and can be converted from both Celsius and Fahrenheit by adding a specific number.
FountainDew

## Homework Statement

Calculate the one temperature at which Fahrenheit and Celsius thermometers agree with each other.

## Homework Equations

TF = TC * (9/5) + 32°C
TC = ( TF + 32 ) * (5/9)
TK = TC + 273.15

## The Attempt at a Solution

*Shrug* I can't even understand how to set it up...

-40°C

FountainDew said:

## Homework Statement

Calculate the one temperature at which Fahrenheit and Celsius thermometers agree with each other.

2. Homework Equations
TF = TC * (9/5) + 32°C
TC = ( TF + 32 ) * (5/9)
TK = TC + 273.15

Forget Kelvin

If

TC = ( TF - 32 ) * (5/9)

Simply set TF to TC

TC = ( TC - 32 ) * (5/9)

and solve.

Note your second equation is in error.

and -40°F are the only temperatures at which Fahrenheit and Celsius scales will agree with each other. This can be calculated by setting the two equations for converting between the two scales equal to each other and solving for the temperature that satisfies this equality. The temperature can also be confirmed by converting it to Kelvin, where both scales will also agree at -233.15 K.

## 1. Why do we have two different temperature scales, Celsius and Fahrenheit?

The Celsius and Fahrenheit scales were created by different scientists at different times in history. Celsius was invented by Anders Celsius in 1742 and Fahrenheit was created by Daniel Gabriel Fahrenheit in 1724. Both scales are based on different reference points and use different intervals.

## 2. When will Celsius and Fahrenheit scales agree with each other?

These two temperature scales will never completely agree with each other because they are based on different reference points and use different intervals. However, there are certain temperature points where they intersect such as -40 degrees, which is the same on both scales.

## 3. What is the relationship between Celsius and Fahrenheit?

Celsius and Fahrenheit are two different units of temperature measurement. Fahrenheit is used more commonly in the United States, while Celsius is used in most other countries. To convert from Fahrenheit to Celsius, you can use the formula: (°F - 32) x 5/9 = °C. To convert from Celsius to Fahrenheit, use the formula: (°C x 9/5) + 32 = °F.

## 4. Why is Celsius considered a more scientific temperature scale?

Many scientists prefer to use the Celsius scale because it is based on the metric system, which makes it easier to work with in scientific calculations and experiments. Additionally, the Celsius scale is based on the freezing and boiling points of water, which are more practical reference points than the arbitrary values used in the Fahrenheit scale.

## 5. Is there a universal temperature scale that all countries use?

Yes, the Kelvin scale is the universal temperature scale used in scientific research and experiments. It is based on absolute zero, the theoretical temperature at which all molecular motion stops. Both the Celsius and Fahrenheit scales can be converted to Kelvin by adding 273.15 to the Celsius temperature or 459.67 to the Fahrenheit temperature.

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