You are adding a whole house fan to your home to reduce conditioning bills by bringing in cool outside air in the mornings. You would like to replace all the air in your house in 5 minutes.

The first floor of your house measures 32' x 75' and has 9' ceilings. The second floor measures 16' x 75' and has 8' ceilings.

How much air, in cubic feet per minute, does your new fan need to move?

A) 22,500 cubic feet per minute
B) 45,000 cubic feet per minute
C) 67,500 cubic feet per minute
D) 90,000 cubic feet per minute

The new fan needs to move 6,240 cubic feet per minute to replace all the air in the house in 5 minutes, given the total volume of the house is 31,200 cubic feet.None of the options given (A, B, C or D) match this answer,

Explanation:

To calculate how much air, in cubic feet per minute, the new fan needs to move, first determine the volume of the house. For the first floor, the volume can be calculated using the dimensions given: 32' x 75' x 9' ceilings. For the second floor: 16' x 75' x 8' ceilings.

Volume of first floor = 32' x 75' x 9' = 21,600 cubic feet.
Volume of second floor = 16' x 75' x 8' = 9,600 cubic feet.

Total volume of the house = 21,600 + 9,600 = 31,200 cubic feet.

To replace this air in 5 minutes, divide the total volume by 5 minutes:
31,200 cubic feet ÷ 5 minutes = 6,240 cubic feet per minute.

Therefore, the new fan needs to move 6,240 cubic feet per minute. None of the options given (A, B, C or D) match this answer, suggesting there may be a typo or incorrect options provided in the question.