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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Solution:

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

$\Rightarrow \quad 100 J=110 \times C \Rightarrow C=\frac{10}{11}$ 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 $=0.34 \times \frac{112.4}{2} g=19.1 g$



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