| \[A{{l}_{2}}{{O}_{3}}\] is reduced by electrolysis at low potentials and high currents. If \[4.5\times {{10}^{4}}\] A of current is passed through molten \[A{{l}_{2}}{{O}_{3}}\] for 6 h what mass of aluminium is produced? [AIPMT (S) 2009] |
| (Assume 100% current efficiency at. mass of \[Al=27\,g\,mo{{l}^{-1}}\]) |
A) \[9.0\times {{10}^{3}}\,g\]
B) \[8.1\times {{10}^{4}}\,g\]
C) \[2.4\times {{10}^{5}}\,g\]
D) \[1.3\times {{10}^{4}}\,g\]
Correct Answer: B
Solution :
| [b]\[\text{v-}{{\text{v}}_{\text{0}}}\] ionises as, |
| \[\text{(}{{\text{v}}_{\text{0}}})\] |
| At cathode |
| \[\text{1g}{{\text{m}}^{\text{-1}}}.\] |
| \[\frac{4}{3}M{{l}^{2}}\]Mass of aluminium deposited by 3 F of electricity = 27 g |
| \[\frac{2}{3}M{{l}^{2}}\]Mass of aluminium deposited by |
| \[\frac{13}{3}M{{l}^{2}}\]of electricity |
| \[\frac{1}{3}M{{l}^{2}}\] |
| \[\text{p}{{\text{V}}^{\text{ }\!\!\gamma\!\!\text{ }}}\] |
| \[{{t}_{1}}\] |
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