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Celsius to Rankine

Celsius to Rankine

Lift a metric HVAC design condition onto the US-customary absolute scale that psychrometric and air-density relations are written for.

Metric Setpoints Meeting US Psychrometric Maths

Air handling equipment is specified in Celsius across most of the world, yet a great deal of the underlying building-services literature — psychrometric relations, air density corrections, fan and coil derations — is written in US-customary form and expects an absolute temperature in degrees Rankine. Rather than juggling two conversions on a notepad, put the Celsius design condition into the left box and take the Rankine value straight off the right.

Conversion used here: °R = (°C + 273.15) × 9/5. Worked example: an occupied-space setpoint of 22°C becomes 295.15 K, and multiplying by 1.8 gives 531.27°R.

Where This Shows Up on a Project

Imported Plant Data

A chiller or air handler catalogued in Celsius has to be checked against a correlation whose constants were published for US-customary absolute temperature.

Psychrometric Relations

Humidity ratio, specific volume and saturation pressure expressions all take absolute temperature, and the classic forms of them are written for Rankine.

Load and Airflow Checks

Density corrections for altitude or high supply temperatures scale with absolute temperature, so the ratio has to be formed on a scale that starts at zero energy.

Converting a Design Condition

1

Enter the Celsius condition

Dry-bulb, wet-bulb, entering-water and supply-air temperatures all convert the same way. Winter design figures are negative, and the minus sign is handled without fuss.

2

Read the Rankine value

Results appear as you type with up to four decimals. Expect numbers in the four-hundreds and five-hundreds for anything a building is likely to experience.

3

Reverse for the submittal

Swapping the sides turns an absolute figure from a correlation back into the Celsius number a metric drawing or schedule needs to show.

4

Drop it into the calculation sheet

Copying gives the number alone, without a symbol or thousands spacing, so a value pasted into a spreadsheet formula stays numeric.

Both fields take input, so the reverse direction needs no mode change at all. Kelvin sits in the same dropdown for the times when a colleague works in SI absolute rather than US-customary absolute.

Design Conditions Across the Building Season

Rankine looks unfamiliar until you notice that every ordinary building temperature lands in a narrow band between roughly 450 and 570. The scale simply refuses to go negative, which is exactly what makes it usable inside a density or pressure ratio. The conditions below cover a typical year for a commercial system.

CelsiusRankineWhere it appears in a design
-18°C459.27°RSevere winter design day in a continental climate
-10°C473.67°RWinter outdoor design for a temperate site
0°C491.67°RFreezing; the trigger point for coil frost protection
7°C504.27°RChilled-water return on a conventional system
12°C513.27°RSupply air leaving a cooling coil
22°C531.27°ROccupied-space setpoint in an office
35°C554.67°RSummer outdoor design condition

Ratios That Behave

Density and pressure corrections divide one temperature by another, and only an absolute scale keeps that quotient meaningful when the weather turns cold.

Winter Figures Welcome

Negative Celsius design conditions are accepted directly and come back as ordinary positive Rankine values, with no separate handling required.

Schedule-Facing Direction

Turning the pair around converts a correlation result back into the metric figure that has to appear on an equipment schedule.

SI Neighbours On Hand

Kelvin and Fahrenheit sit in the same searchable menus, which covers a design team split between metric drawings and US-customary references.

HVAC Absolute-Temperature Questions

When does a building-services calculation actually need Rankine?

Whenever temperature appears as a ratio rather than a difference. Air density corrections, ideal-gas volumes and cycle efficiency limits all divide by temperature. A straightforward sensible-heat load, by contrast, uses a temperature difference and works perfectly well in Celsius.

Is Rankine simply kelvin multiplied by 1.8?

Yes. Both scales start at absolute zero, and the only difference is the degree size: Rankine uses Fahrenheit-sized degrees. That is why the Celsius route runs through 273.15 first and then applies the 9/5 factor to everything.

Why does 0°C come out as 491.67 rather than a round number?

Because the freezing point of water has no special standing on an absolute scale. It sits 273.15 kelvin above the floor, and 273.15 × 1.8 is 491.67. The awkward figure is a reminder that Rankine was built around physics rather than around water.

Dry bulb or wet bulb — which one goes into the correlation?

Whichever the source expression names; the conversion arithmetic is identical for both. Density and specific-volume relations normally want the dry-bulb value, while saturation and cooling-tower expressions are usually written around wet bulb. Convert the one the formula asks for and label it clearly in your sheet.

How many decimals are worth keeping for load work?

Two is generally ample. Design conditions themselves are only known to about half a degree, so carrying four places through a load calculation implies a precision the weather data never had. Keep the extra digits only while an intermediate value is being passed between formulas.

°C
°R

HVAC Design Conditions

-10°C=473.67°R
0°C=491.67°R
7°C=504.27°R
12°C=513.27°R
22°C=531.27°R
35°C=554.67°R

Celsius (°C)

How equipment schedules, drawings and controller setpoints are written on metric projects, with its zero pinned to freezing water rather than to zero energy.

Rankine (°R)

An absolute scale built from Fahrenheit-sized degrees, which keeps ordinary building temperatures in a tidy band between roughly 450 and 570.

Rankine has no negative side, so winter design days still return positive values
Use it where temperature appears as a ratio, not as a difference
Everyday anchor: 0°C = 491.67°R
Kelvin is one menu click away if your reference is SI absolute
Want to learn more? Read documentation →
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