# Derive temp conversion formula

• briteliner
In summary, a temperature conversion formula is a mathematical equation that allows for the conversion of temperature measurements between different units. It is important to know how to derive a temperature conversion formula in order to understand the relationship between different units and to create custom conversion formulas. The basic steps to derive a formula are identifying the units, finding the numerical relationship, using algebraic manipulation, and testing for accuracy. Some common conversion formulas include Fahrenheit to Celsius, Celsius to Kelvin, and Fahrenheit to Kelvin. However, a conversion formula can only be used for units with a linear relationship.
briteliner

## Homework Statement

the fahrenheit temp scale is defined to that ice melts at 32 F and water boils at 212 F. Derive formulas for converting fahrenheit to celsius and back.

c=5/9(f-32)

## The Attempt at a Solution

ok so i figured that 212-32= 180
and
100-0=100
so the ratio of c/f= 5/9
i don't know how to get the 32 part into the equation

0C=32F. So a fahrenheit temperature f is (f-32) fahrenheit degrees above 0C. Now just convert the (f-32) fahrenheit degrees to celsius degrees.

Great job on recognizing the ratio of 5/9 for converting between Fahrenheit and Celsius! To incorporate the 32 part into the equation, we can use the fact that 32 degrees Fahrenheit is equivalent to 0 degrees Celsius. So, if we subtract 32 from both sides of the equation, we get:

c-32=5/9(f-32)

This gives us the formula for converting Fahrenheit to Celsius. To derive the formula for converting Celsius to Fahrenheit, we can rearrange the equation to solve for f:

f=(9/5)c+32

This formula can be used to convert Celsius to Fahrenheit. Keep in mind that when using these formulas, it is important to keep track of which unit you are starting with and which unit you want to end with. For example, if you are starting with a temperature in Fahrenheit and want to convert it to Celsius, you would use the first formula. But if you are starting with a temperature in Celsius and want to convert it to Fahrenheit, you would use the second formula.

## What is a temperature conversion formula?

A temperature conversion formula is a mathematical equation that allows you to convert a temperature measurement from one unit into another unit. This is useful when working with different temperature scales, such as Fahrenheit, Celsius, and Kelvin.

## Why is it important to know how to derive a temperature conversion formula?

Knowing how to derive a temperature conversion formula is important because it allows you to understand the relationship between different temperature units and how to convert between them accurately. It also gives you the ability to create your own conversion formulas for any desired temperature scales.

## What are the basic steps to derive a temperature conversion formula?

The basic steps to derive a temperature conversion formula are:

1. Identify the two temperature units you want to convert between.
2. Find the numerical relationship between the two units, such as the freezing and boiling points of water.
3. Use algebraic manipulation to create a formula that expresses the relationship between the two units.
4. Test the formula with known temperature values to ensure its accuracy.

## What are some common temperature conversion formulas?

Some common temperature conversion formulas include:

• Fahrenheit to Celsius: T(°C) = (T(°F) - 32) x 5/9
• Celsius to Kelvin: T(K) = T(°C) + 273.15
• Fahrenheit to Kelvin: T(K) = (T(°F) + 459.67) x 5/9
• Kelvin to Celsius: T(°C) = T(K) - 273.15

## Can a temperature conversion formula be used to convert between any temperature units?

No, a temperature conversion formula can only be used to convert between temperature units that have a linear relationship, meaning that the difference between two units is constant. For example, Fahrenheit and Celsius have a linear relationship, but Celsius and Rankine do not.

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