A hot gas stream enters a uniform-diameter return bend as shown. The entrance velocity is 100 ft /s, the gas density is 0.02 lbm/ft³, and the mass flow rate is 2 lbm/s. Water is sprayed into the duct to cool the gas down. The gas exits with a density of 0.05 lbm/ft ³. The mass flow of water into the gas is negligible. The pressures at the entrance and exit are the same and equal to the atmospheric pressure. Find the force required to hold the bend.

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100 ft/s Water spray