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1. The air in a 6-m × 5-m 3 4-m hospital room is to be completely replaced by conditioned air every 15 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.

2. A long roll of 1-m-wide and 0.5-cm-thick 1-Mn manganese steel plate (ρ = 7854 kg/m3 ) coming off a furnace is to be quenched in an oil bath to a specified temperature. If the metal sheet is moving at a steady velocity of 10 m/min, determine the mass flow rate of the steel plate through the oil bath.

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