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1 F is equivalent to the charge on 1 mol of electrons - VCE - SSCE Chemistry - Question 20 - 2021 - Paper 1

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1 F is equivalent to the charge on 1 mol of electrons. The mass of nickel, Ni, that can be electroplated onto the platinum, Pt, electrode with 320 F of charge is A. ... show full transcript

Worked Solution & Example Answer:1 F is equivalent to the charge on 1 mol of electrons - VCE - SSCE Chemistry - Question 20 - 2021 - Paper 1

Step 1

Calculate the total charge in coulombs

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Answer

Given that 1 F is equivalent to the charge on 1 mol of electrons, we can calculate:

[ Q = n \times F ]

where ( Q ) is the total charge in coulombs, ( n ) is the number of moles of electrons, and ( F ) is Faraday's constant, approximately 96500 C/mol. In this case, we have:

[ Q = 320 , F = 320 , C ]

Step 2

Determine the moles of nickel deposited

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Answer

Using the relation:

[ n = \frac{Q}{F} ]

The electroplating of nickel (Ni) requires the following reaction:

[ \text{Ni}^{2+} + 2e^{-} \rightarrow \text{Ni} ]

This shows that 2 moles of electrons are needed to deposit 1 mole of Ni. Therefore:

[ n_{Ni} = \frac{320}{2 \times 96500} \approx 0.00166 , \text{mol} ]

Step 3

Calculate the mass of nickel deposited

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The molar mass of nickel (Ni) is approximately 58.69 g/mol. To find the mass of nickel deposited:

[ m = n \times M ]

Substituting the values:

[ m = 0.00166 , \text{mol} \times 58.69 , \text{g/mol} \approx 97.3 , ext{g} ]

Step 4

Choose the correct answer

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Based on the calculations, the nearest correct value for the mass of nickel that can be electroplated is approximately 9.73 × 10² g. Therefore, the correct answer is:

C. 9.39 × 10² g

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