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  • How many hours would it take to produce 82g of Metallic chromium by electrolytic reduction of <img alt="\mathrm{Cr}^{3+}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BCr%7D%5E%7

How many hours would it take to produce 82g of Metallic chromium by electrolytic reduction of \mathrm{Cr}^{3+}  with the current of 3.28 \mathrm{A}? ( \mathrm{\left.\mathrm{Cr}=52 \mathrm{amu}\right)}

Option: 1

35.2 hrs


Option: 2

38.7 hrs


Option: 3

3.87 hrs


Option: 4

42.8 hrs


Answers (1)

best_answer

Cathode, \mathrm{Cr}^{3+}+3 e^{-} \longrightarrow \mathrm{Cr}(s)
\mathrm{\because 3 \mathrm{~F}}  charge passed produce \mathrm{52 \mathrm{~g} \mathrm{Cr}} 
\mathrm{\therefore 1 \mathrm{gCr}}  is produced by \mathrm{\Rightarrow \frac{3 F}{52}}  Charge passed
\therefore 82 \mathrm{~g} \mathrm{Cr}  is produced by  \Rightarrow \frac{3 F}{52} \times 82=Q
\mathrm{\because Q=I t }
\mathrm{ \frac{3 \times 96500 \times 82}{52}=3.28 \times t \\ }

\mathrm{ t=139182.7s=38.7 \mathrm{hrs} }.

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