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GATE 2021 AG – Question 47

Dairy and Food Engineering · Heat and Mass Transfer · 2 marks · Multiple choice

A 30 µm membrane of area 3 m² removes NaCl at steady state. Film coefficients are1×10⁻⁶ and 3×10⁻⁷ m/s;membrane permeability9×10⁻⁶ m/s. Feed concentration .03 g/100 mL;opposite bulk concentration0. Find removal in g/h.

  1. .73
  2. .81
  3. .86
  4. .93

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Correct answer: (A) .73

Explanation

Because permeability is given in m/s, it already represents membrane permeance. Overall resistance is $1/K=1/10^{-6}+1/(9\times10^{-6})+1/(3\times10^{-7})$. Thus K=2.25×10⁻⁷ m/s. Feed concentration=.3 kg/m³;rate=K(3)(.3)(3600)(1000)=**.729 g/h≈.73,A**. Do not divide by thickness again.

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