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.
°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
Psychrometric Relations
Load and Airflow Checks
Converting a Design Condition
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.
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.
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.
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.
| Celsius | Rankine | Where it appears in a design |
|---|---|---|
| -18°C | 459.27°R | Severe winter design day in a continental climate |
| -10°C | 473.67°R | Winter outdoor design for a temperate site |
| 0°C | 491.67°R | Freezing; the trigger point for coil frost protection |
| 7°C | 504.27°R | Chilled-water return on a conventional system |
| 12°C | 513.27°R | Supply air leaving a cooling coil |
| 22°C | 531.27°R | Occupied-space setpoint in an office |
| 35°C | 554.67°R | Summer 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.
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