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Reverse Osmosis Membrane Area Calculation Quiz

"Reverse Osmosis Unit Design: Calculate Membrane Area" - Test your knowledge of reverse osmosis design with this quiz. Evaluate your understanding of membrane area estimation based on given feed and permeate conditions, salt concentrations, and osmotic pressure.

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@TriumphalSunstone
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Questions and Answers

What is the osmotic pressure of the 3.5% solution in atm?

The osmotic pressure of the 3.5% solution is 30 atm.

What is the membrane permeability for water in L/m².h.atm?

The membrane permeability for water is 10 L/m².h.atm.

What is the estimation of membrane area required, assuming concentration polarization to be negligible?

The estimation of membrane area required, assuming concentration polarization to be negligible, can be calculated using the formula: $A = \frac{Q(P_f - P_p)}{J}$, where A = membrane area (m²), Q = volumetric flow rate (m³/day), $P_f$ = feed pressure (atm), $P_p$ = permeate pressure (atm), and J = membrane permeability for water (L/m².h.atm).

If the mass transfer coefficient on the feed side is 4x10^-5 m/s, how do you recalculate the mass transfer area, taking concentration polarization into account?

<p>To recalculate the mass transfer area taking concentration polarization into account, the following equation can be used: $A = \frac{Q}{k}ln\frac{C_f}{C_p}$, where A = mass transfer area (m²), Q = volumetric flow rate (m³/s), k = mass transfer coefficient (m/s), $C_f$ = concentration of solute in the feed, and $C_p$ = concentration of solute in the permeate.</p> Signup and view all the answers

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Study Notes

Osmotic Pressure and Membrane Permeability

  • Osmotic pressure of a 3.5% solution needs to be determined in atm
  • Membrane permeability for water is required in L/m².h.atm

Mass Transfer and Membrane Area

  • Membrane area needs to be estimated, assuming concentration polarization to be negligible
  • Mass transfer coefficient on the feed side is 4x10^-5 m/s
  • Mass transfer area needs to be recalculated, taking concentration polarization into account

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