Heat converters
Temperature Interval Converter
Convert temperature differences between kelvin, Celsius, Fahrenheit and Rankine degrees.
Result
18 °F
10 °C = 18 °F
An interval is a difference between two temperatures, so no zero-point offsets apply: a 10 °C rise is a 10 K rise and an 18 °F rise.
All units for this value
| Unit | Symbol | Value |
|---|---|---|
| Kelvin | K | 10 |
| Millikelvin | mK | 10000 |
| Degree Celsius | °C | 10 |
| Degree Fahrenheit | °F | 18 |
| Degree Rankine | °R | 18 |
| Degree Réaumur | °Ré | 8 |
About this calculator
A temperature interval measures how much a temperature changed, not what the temperature actually is. This converter switches a rise or drop between kelvin, Celsius degrees, Fahrenheit degrees, Rankine degrees, and Réaumur degrees, which matters for heating rates, tolerances, and weather swings.
How it works in plain English
Absolute temperature scales like Celsius and Fahrenheit each have their own zero point, set at different physical conditions, so converting an actual temperature reading requires shifting by an offset as well as scaling. An interval is different: it only describes the size of a change, so the offset cancels out entirely and only the scale factor between degree sizes matters. A rise of 10 °C is the same physical change as a rise of 10 K, because the Celsius and kelvin scales use identically sized degrees, just with different starting points.
Because Fahrenheit and Rankine degrees are smaller than Celsius and kelvin degrees, the same physical change corresponds to a larger number of Fahrenheit or Rankine degrees. Specifically, one Fahrenheit degree of change equals five ninths of a kelvin, so converting a Celsius or kelvin interval into Fahrenheit or Rankine multiplies by 1.8, and converting the other way divides by 1.8. Réaumur degrees follow their own historical scale, where one Réaumur degree equals 1.25 kelvin.
Choose the interval's starting unit and target unit in the from and to menus, enter the size of the change, and the result appears immediately. A table shows the same interval expressed in every supported unit at once, a precision control adjusts how many decimal places are shown, and a swap button reverses the two selected units in one click.
The formula
- value_in_target = value_in_source × (source factor to K) ÷ (target factor to K)
- 1 °C interval = 1 K
- 1 °F interval = 1 °R interval = 5/9 K
- 1 °Ré interval = 1.25 K
- No zero-point offset is applied because this converts a difference, not an absolute temperature.
Worked example
Suppose a furnace's temperature rises by 45 °C during a cycle and you want that change expressed in Fahrenheit degrees. Since this is an interval, there's no offset to worry about: multiply the Celsius change by 1.8, because each Fahrenheit degree is smaller than a Celsius degree. That gives 45 × 1.8 = 81 °F of change.
Typing 45 into the °C field with °F selected as the target returns 81 °F immediately, confirming the calculation. The full unit table also shows that same 45 °C rise equals 45 K and 36 °Ré, all derived from one entered value without ever touching an absolute temperature scale or its zero point.
Degree size for common temperature interval units
| Unit | Equal to (K) |
|---|---|
| 1 K interval | 1 |
| 1 °C interval | 1 |
| 1 °F interval | 0.555556 |
| 1 °R interval | 0.555556 |
| 1 °Ré interval | 1.25 |
Standard temperature scale definitions
Frequently asked questions
Why doesn't this converter ask for a starting temperature?
Because it converts the size of a change, not a specific reading. A temperature interval, like a 10-degree rise, has the same meaning regardless of what temperature it started at, so no zero-point offset is needed. This is different from converting an absolute temperature, such as 10 °C itself, which does require an offset.
Why does 10 °C of change equal 18 °F of change instead of 10 °F?
Celsius and Fahrenheit degrees are different sizes: a Fahrenheit degree is only five ninths the size of a Celsius or kelvin degree. So the same physical temperature change corresponds to a larger count of the smaller Fahrenheit degrees. Multiplying the Celsius interval by 1.8 accounts for that size difference and gives the equivalent Fahrenheit interval.
Is a kelvin interval the same size as a Celsius interval?
Yes. The kelvin and Celsius scales use identically sized degrees; they only differ in where zero is placed. Because this converter deals with intervals rather than absolute readings, that offset never comes into play, so 1 K of change and 1 °C of change are always exactly equal.
What is a Réaumur degree and why include it?
The Réaumur scale is a historical temperature scale once used in parts of Europe, where the degree size equals 1.25 kelvin. It's rarely used today but still appears in some older scientific texts and food or dairy contexts in certain regions, so it's included for completeness alongside the more common scales.
Can I use this for an absolute temperature reading instead of a change?
No, this tool is built specifically for differences, such as a rise, drop, or tolerance band. Converting an actual temperature reading, like 20 °C right now, requires a separate calculation that also shifts by each scale's zero-point offset, which a dedicated absolute temperature converter handles instead.
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