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Pure methanol flows as a smooth laminar liquid film down the inside of a circular pipe of diameter 2.5 cm and length 50 cm. Air flows through the pipe at a rate of 0.5 liter/min. The air inlet temperature is 25C. The vapor pressure of methanol at 25C is 16.96 kPa.

The following physical property information is given:

Air kinematic viscosity = 0.16 cm2 /s

Air density = 1.2 x 10-3 g/cm3

Gas phase diffusivity of methanol in air, DAB = 0.162 cm2 /s

a) Is the air flow laminar or turbulent?

b) Find the proper expression for the Sherwood number in the convective mass transfer table.

c) Use the expression for the Sherwood number from part (b) to calculate the concentration of methanol in the air that exits the pipe.

(Note: ShD = 2* ShR , since Sh = kc L / DAB )

(Note: Use additional factor of 4 in e-Y formula due to the circular tube geometry.)

(Note: You can express the concentration in moles/liter or as a relative saturation = partial pressure/vapor pressure.)