The Reynolds number (Re) is defined as Re = p(v x )d/, where and are

The Reynolds number (Re) is defined as Re = p(v_x)d/η, where ρ and η are the fluid density and viscosity, respectively; d is the diameter of the tube in which the fluid is flowing; and (v_x)is the average velocity. Laminar flow occurs when Re < 2000, the limit in which the equations for gas viscosity were derived in this chapter. Turbulent flow occurs when Re > 2000. For the following species, determine the maximum value of (v_x) for which laminar flow will occur:

a. Ne at 293 K (η = 313 μ P, ρ = that of an ideal gas) through a 2.00-mm-diameter pipe

b. Liquid water at 293 K (η = 0.891 cP, ρ = 0.998 g mL−1) through a 2.00-mm-diameter pipe.