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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Thermal and Chemical Effects of Electric Current

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Thermal and Chemical Effects of Electric Current

Two voltameters, one containing a solution of silver salt and the...

Two voltameters, one containing a solution of silver salt and the other a solution of a trivalent-metal salt, are connected in series. A current of 2 A2 \text{ A} is maintained for 1.501.50 hours. It is observed that 1.00 g1.00 \text{ g} of the trivalent metal is deposited. Determine the amount of silver deposited during this period, given that the atomic weight of silver is 107.9 g mol−1107.9 \text{ g mol}^{-1}.

Options

  1. A4.0 g4.0 \text{ g}
  2. B24.2 g24.2 \text{ g}
  3. C12.1 g12.1 \text{ g}
  4. D36.2 g36.2 \text{ g}

Correct answer

C. 12.1 g12.1 \text{ g}

Step-by-step solution

According to Faraday's first law of electrolysis, the mass of a substance deposited at an electrode is given by:

m=EItFm = \dfrac{E I t}{F}

For silver, the valency is 11, so its equivalent weight EAgE_{\text{Ag}} is equal to its atomic weight:

EAg=107.9 g eq−1E_{\text{Ag}} = 107.9 \text{ g eq}^{-1}

The total charge passed through the series circuit is:

Q=I×t=2 A×(1.50×3600) s=10800 CQ = I \times t = 2 \text{ A} \times (1.50 \times 3600) \text{ s} = 10800 \text{ C}

Substituting the values into the formula:

mAg=107.9×1080096500m_{\text{Ag}} = \dfrac{107.9 \times 10800}{96500}

mAg=116532096500≈12.075 gm_{\text{Ag}} = \dfrac{1165320}{96500} \approx 12.075 \text{ g}

Rounding off to one decimal place, the mass of silver deposited is 12.1 g12.1 \text{ g}. The data regarding the trivalent metal is extraneous.
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