The air in a 6-m 5-m 4-m hospital room is to be completely replaced by

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The air in a 6-m ×  5-m × 4-m hospital room is to be completely replaced by conditioned air every 20 min. If the average air velocity in the circular air duct leading to the room is not to exceed 5 m/s, determine the minimum diameter of the duct.

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