An air conditioner outputs 10000 BTU per hour. How many kilowatts is this equivalent to?

To convert BTUs (British Thermal Units) to kilowatts, it's essential to understand the relationship between these units of measurement. One BTU is approximately equal to 0.000293 kilowatts. Therefore, to convert 10,000 BTUs per hour into kilowatts, we can use the formula:

[ \text{kW} = \text{BTU/hr} \times 0.000293 ]

In this case:

[ \text{kW} = 10000 \text{ BTU/hr} \times 0.000293 \text{ kW/BTU} \approx 2.93 \text{ kW} ]

When rounding this number, it is approximately equal to 3.0 kW. This computation shows that the output of 10,000 BTUs per hour is equivalent to about 3.0 kilowatts, confirming that this response is indeed accurate based on the conversion factors established in thermodynamics. The understanding of BTU and its relation to kilowatt energy output is critical in various HVAC applications and energy discussions.