A gas flows steadily through a circular duct of varying cross-section area with a mass flow rate

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A gas flows steadily through a circular duct of varying cross-section area with a mass flow rate of 10 kg/s. The inlet and exit conditions are as follows. Inlet: V1 = 400 m/s, A1 = 179.36 cm2; Exit: V2 = 584 m/s, v2 = 1.1827 m3/kg.
(a) Determine the exit area.
(b) Do you find the increase in velocity of the gas accompanied by an increase in flow area counter-intuitive? Why?
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