Answer :
To calculate the time an AC takes to cool a room, assess the room's size, AC's capacity, and the desired temperature drop. The cooling capacity is measured in tons, and energy input is calculated using the AC's energy efficiency rating. Costs are based on local electricity prices and the unit's energy consumption.
To calculate how long it takes for an air conditioner (AC) to cool a room, you need to consider various factors such as the size of the room, the capacity of the AC, and the desired temperature change.
The cooling capacity of an AC is often measured in tons of capacity, with one ton being equivalent to 12,000 British Thermal Units (BTUs) per hour. This indicates the amount of heat that must be removed from a ton of water to turn it into ice in one day at 32°F.
For a moderately-sized house with dimensions 12.0 m × 18.0 m × 3.00 m, with an air replacement time of 30 minutes, the heat transfer per unit time (in watts) can be calculated to warm incoming cold air by 10.0 °C.
This rate of heat transfer can be compared to the power consumed by roughly forty-six 100-W light bulbs. When an AC unit has an energy efficiency rating (EER), you can also calculate the energy input required in joules and the subsequent cost of running the unit.
Such calculations consider both air infiltration and energy conservation measures like weather stripping and caulking.
Answer:
Time taken to cool your room (in hours) = (volume of your room* density of air* change in temperature you want * specific heat of air)/ (latent heat of fusion * ton capacity of your AC*1000 / 24).
