Electrochemistry - Result Question 98

46. A $100$ watt, $110$ V incandecent lamp is connected in series with an electrolyte cell containing cadmium sulphate solution. What weight of cadmium will be deposited by the current flowing for $10$ h?

$(1987,5 M)$

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Answer:

Correct Answer: 46. $(19.1)$ g

Solution:

  1. $100$ W lamp will produce $100 Js^{-1}$.

$\Rightarrow 100 J=110 \times C \Rightarrow C=\frac{10}{11}$ Coulombs

Therefore, total Coulomb passed in $10 h$

$ =\frac{10}{11} \times 10 \times 60 \times 60=32727.27 $ $C $

Number of gram equivalent of $Cd^{2+}$ deposited

$ =\frac{32727.27}{96500}=0.34 $

Weight of $Cd$ deposited $=0.34 \times \frac{112.4}{2} g=19.1 g$