A 8 m tall chimney sits on top of a hotel. The chimney is .66 x .66 m on the inside, the bottom opens up into the fireplace with an opening that measures 2 m2 onto the lobby. A wind blows across the top of the chimney at 54 kph dropping the pressure in the lobby by 5.2 Pa relative to the pressure outside of the front doors of the hotel (assume the hotel is on Earth with atmospheric pressure at sea level, and the air outside of it is not in motion). What is the volumetric rate of air flow in the chimney when the wind is blowing, include direction. Use all variables given, explain why if any are excluded in your calculations.
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