ZoneBtuBTU per head, per room, per orientation — not one number for the house.

What size mini split does a 400 sq ft bedroom in Pittsburgh, PA need?

400 ft² bedroom in Pittsburgh, PA
9,000BTU/hr
8,009 BTU/hr of load at 20 BTU/ft² — the figure for 956 cooling degree days
400 ft² bedroom in Pittsburgh, PA9,000 BTU/hrHead size to buy8,009 BTU/hrCalculated load8,000 BTU/hrWhat the 20 BTU/f…
Head size to buy9,000BTU/hr
Calculated load400 ft² × 20 BTU/ft²8,009BTU/hr
BTU per square foot hereinterpolated from Pittsburgh's 956 cooling degree days20BTU/ft²
What the 20 BTU/ft² rule givesthis room needs 0% more than the rule says8,000BTU/hr
Summer design temperature88°F
Winter design temperaturea mini split heats too — this is the number that decides whether it can carry the room alone3°F
Summer day–night swinga moderately humid climate19°F
Days at or above 90°F6days/yr
Oversize from the size stepwithin the normal step12%

Notes

  • The "20 BTU per square foot" rule is a Midwest number. Pittsburgh runs 956 cooling degree days, which works out to 20 BTU/ft² — so for this bedroom the rule is 0% 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.
  • 9,000 BTU/hr sits close to the load, which is where a mini split works best. Inverter equipment is happiest running long and slow at part load; it is the short, hard cycles of an oversized head that leave a room cold and damp.
  • Pittsburgh is moderately humid — summer nights stay within 19°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. Pittsburgh designs to 3°F. That is cold enough that a standard head will have lost a large part of its rated capacity by the time it is needed most — check the manufacturer's capacity table at 3°F, not the nameplate, and look at hyper-heat rated equipment.
  • Where these numbers come from. Greater Pittsburgh International, 8 km from downtown Pittsburgh, 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 Pittsburgh, PA needs a head of about 9,000 BTU per hour. The calculated load is 8,009 BTU/hr.

Where that number comes from

Pittsburgh, PA runs 956 cooling degree days a year, which puts the room at 20 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

Pittsburgh, PA designs to 3°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.

Nearby sizes

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