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GATE 2019 MT – Question 18

Transport Phenomena and Rate Processes · Chemical and electrochemical kinetics · 1 mark · Multiple choice

Copper is electrodeposited on copper from an aqueous solution containing 0.5×10⁻³ mol/cm³ CuSO₄. Transport controls the rate; mass-transfer coefficient is 10⁻⁴ cm/s and F=96500 C per gram equivalent. Find limiting current density in mA/cm².

  1. 4.83
  2. 9.65
  3. 19.30
  4. 38.60

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Correct answer: (B) 9.65

Explanation

For Cu²⁺+2e⁻→Cu, the electron number is 2. Limiting flux is kC, hence $i_L=2FkC=2(96500)(10^{-4})(0.5\times10^{-3})=0.00965$ A/cm² =9.65 mA/cm². Thus B. The factor two is essential.

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