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How many coulombs of electricity is required to produce 1g of sodium metal by reduction of sodium ion? - Chemistry

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Question

How many coulombs of electricity is required to produce 1g of sodium metal by reduction of sodium ion? 

Numerical

Solution

To calculate the coulombs of electricity required to produce 1g of sodium metal by the reduction of sodium ion, we use Faraday's Law of electrolysis.

\[\ce{Na^+ + e^- -> Na}\]

This shows that 1 mole of Na⁺ requires 1 mole of electrons (1 Faraday = 96,500 C).

Calculate Moles of Na in 1g

Molar mass of Na = 23 g/mol

Moles of Na in 1g = `1/23` = 0.0435 moles

Since 1 mole of Na requires 96,500 C, for 0.0435 moles: 

Charge required = 0.0435 × 96,500

= 4,197.75 C 

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