PARAGRAPH "II" A cylindrical furnace has height (π») and diameter (π·) both 1 m. It is maintained at temperature 360 K. The air gets heated inside the furnace at constant pressure ππ and its temperature becomes π = 360 πΎ. The hot air with density π rises up a vertical chimney of diameter π = 0.1 m and height β = 9 m above the furnace and exits the chimney (see the figure). As a result, atmospheric air of density ππ = 1.2 kg mβ3, pressure ππ and temperature ππ = 300 K enters the furnace. Assume air as an ideal gas, neglect the variations in π and π inside the chimney and the furnace. Also ignore the viscous effects. [Given: The acceleration due to gravity π = 10 m sβ2 and π = 3.14] Considering the air flow to be streamline, the steady mass flow rate of air exiting the chimney is _______ gm sβ1.