**Problem Statement:**Water flows at 0.420 mL/s through a horizontal tube that is 40.0 cm long and has an inside diameter of 1.50 mm.Assuming laminar flow, determine the pressure difference \( \Delta p \) required to drive this flow if the viscosity of water is 1.00 mPa·s.\[ \Delta p = \underline{\hspace{3cm}} \text{ Pa} \] **Explanation:**This problem involves calculating the pressure difference necessary to induce a given flow rate of water through a horizontal cylindrical tube, assuming laminar flow conditions. Key information includes the flow rate, tube dimensions, and fluid viscosity. The solution will involve concepts from fluid dynamics, particularly the Hagen-Poiseuille equation which relates these variables under laminar flow conditions.

r =40 cm , d =1.5 mm , r = 0.75 mm, V/t = 0.42 mL/s = 0.42 x10-6 m/s Viscosity of water n = 1 mPa.s

Answered: Water flows at 0.420 mL/s through a…

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Water flows at 0.420 mL/s through a horizontal tube that is 40.0 cm long and has an inside diameter of 1.50 mm. Assuming laminar flow, determine the pressure difference Ap required to drive this flow if the viscosity of water is Ap = Pa 1.00 mPa-s.