We appreciate your visit to An air conditioner manufacturer recommends that its portable units provide between 4 and 6 BTUs of cooling per cubic foot to operate most efficiently Which. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
A 16,000-BTU air conditioner meets the manufacturer recommendation for a room measuring 20 feet by 20 feet with an 8-foot ceiling as it falls between the required range of 12,800 to 19,200 BTUs based on the volume of the room.
Explanation:
The student is asking about air conditioner efficiency and whether certain BTU outputs are appropriate for rooms of different sizes, given the manufacturer's recommendation of providing between 4 and 6 BTUs of cooling per cubic foot. First, we need to calculate the volume of the rooms mentioned in each statement to determine the total BTUs required.
For a room measuring 20 feet by 20 feet with an 8-foot ceiling: 20 x 20 x 8 = 3,200 cubic feet. The recommended BTU is therefore between 3,200 x 4 and 3,200 x 6, which equates to 12,800 to 19,200 BTUs. Thus, a 16,000-BTU air conditioner would meet the recommendation.
For a room measuring 10 feet by 20 feet with an 8-foot ceiling: 10 x 20 x 8 = 1,600 cubic feet. The recommended BTU is between 6,400 and 9,600 BTUs. A 14,000-BTU air conditioner exceeds this recommendation.
For a room measuring 20 feet by 40 feet with an 8-foot ceiling: 20 x 40 x 8 = 6,400 cubic feet. The recommended BTU is between 25,600 and 38,400 BTUs. A 20,000-BTU air conditioner would be too small rather than too large.
For a room that is 15 feet by 10 feet with a 10-foot ceiling: 15 x 10 x 10 = 1,500 cubic feet. The recommended BTU is between 6,000 and 9,000 BTUs. A 12,000-BTU air conditioner actually exceeds the recommendation.
Based on these calculations, the true statement is that a 16,000-BTU air conditioner meets the manufacturer recommendation for a room measuring 20 feet by 20 feet with a standard 8-foot ceiling.
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The statement is true is: A 16,000-BTU air conditioner meets the manufacturer recommendation.
Recommended BTU
Option A
BTUs=16,000/(20 feet×20 feet×8 foot)
BTUs=16,000/3200 feet
BTUs=5 BTUs
Option B
BTUs=14,000/(10 feet×20 feet×8 foot)
BTUs=14,000/1600 feet
BTUs=8.75 BTUs
Option C
BTUs=20,000/(20 feet×40 feet×8 foot)
BTUs=20,000/6400 feet
BTUs=3.125 BTUs
Option D
BTUs=12,000/(15 feet×10 feet×10 foot)
BTUs=12,000/1500 feet
BTUs=8 BTUs
Based on the calculation above only option A with 5 BTUs fall between 4 and 6 BTUs.
Therefore the statement is true is: Option A.
Learn more about BTUs here:https://brainly.com/question/10486668
