A solid sphere composed of pure A with a radius R is placed in a large...
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A solid sphere composed of pure A with a radius R is placed in a large body of unstirred water as shown below. Compound A is sparingly soluble in water (Ca << Cwater) and the maximum solubility of A is cA*. "Quasi-steady-state" conditions can be assumed.: a. Perform a shell balance on the water outside the sphere and, applying the appropriate boundary conditions, determine an expression for dimensionless concentration profile (ca/cA*) as a function of dimensionless position (r / R). b. Determine an expression for the molar flux of A (NAar) at the surface of the sphere (r/ R= 1) and at r/R= 10. c. Generate a plot of the dimensionless position (r / R) versus dimensionless concentration profile (CA/ CA) for values of Ca/ CA* from 1 to 0.05 and determine the value for r/R when CA / CA* = 0.5. Solid sphere of pure A R as r> CA-> 0 mol A/L A solid sphere composed of pure A with a radius R is placed in a large body of unstirred water as shown below. Compound A is sparingly soluble in water (Ca << Cwater) and the maximum solubility of A is cA*. "Quasi-steady-state" conditions can be assumed.: a. Perform a shell balance on the water outside the sphere and, applying the appropriate boundary conditions, determine an expression for dimensionless concentration profile (ca/cA*) as a function of dimensionless position (r / R). b. Determine an expression for the molar flux of A (NAar) at the surface of the sphere (r/ R= 1) and at r/R= 10. c. Generate a plot of the dimensionless position (r / R) versus dimensionless concentration profile (CA/ CA) for values of Ca/ CA* from 1 to 0.05 and determine the value for r/R when CA / CA* = 0.5. Solid sphere of pure A R as r> CA-> 0 mol A/L
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Related Book For
Thermodynamics An Engineering Approach
ISBN: 978-0073398174
8th edition
Authors: Yunus A. Cengel, Michael A. Boles
Posted Date:
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