1. For a compressible fluid, the pressure head in the Poiseuille equation is replaced by the expression: ΔP=2Po​Pi2​−Pf2

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1. For a compressible fluid, the pressure head in the Poiseuille equation is replaced by the expression: ΔP=2Po​Pi2​−Pf2​​ where Pi= initial pressure, Pf= final pressure and Po= pressure at which volume was measured. If the inlet and outlet pressures of the gas were 1.1 bar and 1.090 bar, the viscosity (μP) is unknown of 200 mL of Ar gas measured at 30∘C and 0.95 bar which required 10sec to flow through a 500 cm tube of 0.5 mm radius. What is the pressure drop of the system? The viscosity (μP) of 200 mL of Ar gas at the measured condition is (10pts) 2. A sphere of radius 5×10−2 cm and density of 1.10 g/cc falls at constant velocity through a liquid of density 1 g/cc and viscosity of 1 poise. What is the velocity of the falling sphere? (5pts)