The rough rule, and why it usually holds
For a well-insulated UK bedroom with average solar gain, the working rule is roughly 100 to 120 watts of cooling per square metre of floor area. A standard 12 to 14 m² double bedroom lands in the 1.5 to 2.0 kW band; a larger 16 to 20 m² room lands at 2.0 to 2.5 kW. This rule holds because British bedrooms are usually shaded for at least part of the day, have a single external wall, and rarely run continuously above 26°C even in a heatwave.
This sits inside the wider cooling picture, where the goal is a comfortable house rather than a fully air-conditioned one; the bedroom is almost always the room where a fixed split earns its place first.