a room that measures 10.o ft wide, 32.0 ft long, and 8.00 ft high needs a certain amount of air pumped into it per minute to keep the air quality up to regulations. If the room needs completly new air every 20.0 minutes, whjat is the volume of air per second that is being pumped into the room?
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To calculate the volume of air per second that needs to be pumped into the room, we can follow these steps:
1. Calculate the total volume of the room: Multiply the width, length, and height of the room.
Volume = width × length × height
Volume = 10.0 ft × 32.0 ft × 8.00 ft
2. Convert the volume to cubic feet per minute: Since the room needs completely new air every 20.0 minutes, divide the total volume of the room by the time in minutes.
Volume per minute = Volume / Time
Volume per minute = (10.0 ft × 32.0 ft × 8.00 ft) / 20.0 min
3. Convert the volume to cubic feet per second: Divide the volume per minute by 60 seconds.
Volume per second = Volume per minute / 60 s
Now, let's calculate the volume per second:
Volume per second = ((10.0 ft × 32.0 ft × 8.00 ft) / 20.0 min) / 60 s
Simplifying the calculation further:
Volume per second = (2560.0 ft³ / 20.0 min) / 60 s
Volume per second ≈ 2.67 ft³/s
Therefore, approximately 2.67 cubic feet of air should be pumped into the room per second to maintain the air quality regulations.