What size mini split does a 400 sq ft bedroom in Fort Smith, AR need?
400 ft² bedroom in Fort Smith, AR
12,000BTU/hr
9,952 BTU/hr of load at 24.9 BTU/ft² — the figure for 2,358 cooling degree days
| Head size to buy | 12,000BTU/hr |
|---|---|
| Calculated load400 ft² × 24.9 BTU/ft² | 9,952BTU/hr |
| BTU per square foot hereinterpolated from Fort Smith's 2,358 cooling degree days | 24.9BTU/ft² |
| What the 20 BTU/ft² rule givesthis room needs 24% more than the rule says | 8,000BTU/hr |
| Summer design temperature | 98°F |
| Winter design temperaturea mini split heats too — this is the number that decides whether it can carry the room alone | 17°F |
| Summer day–night swinga fairly dry climate | 20°F |
| Days at or above 90°F | 78days/yr |
| Oversize from the size stepa big step — read the note | 21% |
Notes
- The "20 BTU per square foot" rule is a Midwest number. Fort Smith runs 2,358 cooling degree days, which works out to 24.9 BTU/ft² — so for this bedroom the rule is 24% short. A single national figure has to be wrong somewhere, and this is where.
- Bedroom: the room where oversizing hurts most — quiet, low load, long runtimes wanted.
- 12,000 BTU/hr is 21% above the load, and the gap between head sizes is wide — the next size down is 9,000. In a single room that matters more than it would on a central system: there are no other rooms to absorb the excess capacity. If the room is well insulated and shaded, the smaller head is usually the better buy, and modern inverter compressors modulate down far better than they modulate up.
- Fort Smith is fairly dry — summer nights stay within 20°F of the day's high, the signature of humid air. A meaningful share of this head's work is removing moisture, and it only removes moisture while it is running. This is the climate where an oversized head produces a room that reads cold and feels clammy.
- Do not forget the winter side. Fort Smith designs to 17°F. A cold-climate rated head will hold most of its capacity there, but a standard one will not — ask for the capacity at 17°F in writing.
- Where these numbers come from. Fort Smith Regional Airport, 34 km from downtown Fort Smith, daily records 2015–2024. Design temperatures are calibrated against published ASHRAE values at eight airports and land within about 2°F of them.
The short answer
A 400 square foot bedroom in Fort Smith, AR needs a head of about 12,000 BTU per hour. The calculated load is 9,952 BTU/hr.
Where that number comes from
Fort Smith, AR runs 2,358 cooling degree days a year, which puts the room at 24.9 BTU per square foot rather than the 20 BTU/ft² the generic charts use. Applied to this room the rule gives 8,000 BTU/hr.
The winter half of the question
Fort Smith, AR designs to 17°F. A mini split is a heat pump, and its heating capacity falls as the outdoor temperature drops — the nameplate is measured at 47°F, not at the temperature you actually need it.
Sizing a single room is not sizing a house
There is no other room to absorb a mistake. An oversized head short-cycles, never runs long enough to dehumidify, and leaves the room cold and damp.
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Read more
- Mini Split Blowing Cold Air in Heat Mode — Defrost, UsuallyEvery air-source heat pump does this. Knowing what a defrost cycle looks like is the difference between waiting ten minutes and calling somebody out.
- Mini Split Leaking Water Indoors — Four Causes, One CommonA cooling head makes a couple of litres a day. It leaves through a small pipe with no pump behind it, and that pipe is where nearly every leak starts.
- Multi-Zone Mini Split Not Cooling Every Room — The Minimum Output ProblemThe system is not underpowered. It is oversized for the one room that is calling, and multi-zone units handle that far worse than single-zone ones.