Problem 3 (4 pts). A nonionic organic molecule A is dissolving and diffusing into a pure...

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Problem 3 (4 pts). A nonionic organic molecule "A" is dissolving and diffusing into a pure carrier solvent "B," which is flowing with a certain velocity across a flat surface of pure A. The dissolution and transfer of A is driven by this fluid flow. The flat surface is 10 cm long (x direction). The height is represented here by the y-direction. The kinematic viscosity of B is 6e-3 cm^2/s, the diffusivity of A in B is 3e-6 cm^2/s, the solubility of A in B (surface value) is 1 g/cm^3, and the molar mass of A is 200 g/mol. The flow rate across the surface is 2 L/min and the cross-sectional area of this flow is 2 cm by 10 cm. (a) Write out the equation for the Schmidt number and solve. Is Sc above or below 1? (b) Write out the Sherwood number equation and state the known and unknown variables needed to calculate Sh. (c) Write out the equation for the Reynolds number. There are some options for the "length" variable - choose the direction across the flat surface. State the known and unknown variables needed to calculate Re_L and Re_x. You will need to include a value for v_infinity and cA_infinity. (d) Write out the Blasius version of the equation for Sherwood number as a function of other dimensionless numbers, at an arbitrary point "x" along the flat surface (x = 0 at the starting edge of the point, x increasing in the direction of flow). What is the Sherwood number at x = 5 cm? Problem 3 (4 pts). A nonionic organic molecule "A" is dissolving and diffusing into a pure carrier solvent "B," which is flowing with a certain velocity across a flat surface of pure A. The dissolution and transfer of A is driven by this fluid flow. The flat surface is 10 cm long (x direction). The height is represented here by the y-direction. The kinematic viscosity of B is 6e-3 cm^2/s, the diffusivity of A in B is 3e-6 cm^2/s, the solubility of A in B (surface value) is 1 g/cm^3, and the molar mass of A is 200 g/mol. The flow rate across the surface is 2 L/min and the cross-sectional area of this flow is 2 cm by 10 cm. (a) Write out the equation for the Schmidt number and solve. Is Sc above or below 1? (b) Write out the Sherwood number equation and state the known and unknown variables needed to calculate Sh. (c) Write out the equation for the Reynolds number. There are some options for the "length" variable - choose the direction across the flat surface. State the known and unknown variables needed to calculate Re_L and Re_x. You will need to include a value for v_infinity and cA_infinity. (d) Write out the Blasius version of the equation for Sherwood number as a function of other dimensionless numbers, at an arbitrary point "x" along the flat surface (x = 0 at the starting edge of the point, x increasing in the direction of flow). What is the Sherwood number at x = 5 cm?

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a The mass diffusivity to momentum diffusivity kinematic viscosity ratio is known as the Schmidt number Sc The viscosity kinetic Diffusion of mass Mas... View the full answer