JCECE Engineering JCECE Engineering Solved Paper-2008

  • question_answer
    Aluminium oxide may be electrolysed at \[{{1000}^{o}}C\] to furnish aluminium metal (atomic mass\[=27\,\,u;\,\,1F=96500\,\,C)\]. The cathode reaction is\[A{{l}^{3+}}+3{{e}^{-}}\xrightarrow{{}}A{{l}^{0}}\] To prepare \[5.12\,\,kg\] of aluminium metal by this method would require

    A)  \[5.49\times {{10}^{1}}C\]of electricity

    B)  \[5.49\times {{10}^{4}}C\]of electricity

    C)  \[1.83\times {{10}^{7}}C\]of electricity

    D)  \[5.49\times {{10}^{7}}C\]of electricity

    Correct Answer: D

    Solution :

    \[A{{l}^{3+}}+3{{e}^{-}}\xrightarrow{{}}Al\]                                 \[w=zQ\]             where, \[w=\]amount of metal                 \[w=5.12\,\,kg=5.12\times {{10}^{3}}kg\] \[z=\]electrochemical equivalent \[z=\frac{Equivalent\,\,weight}{96500}=\frac{Atomic\,\,mass}{Electrons\times 96500}\]                                         \[z=\frac{27}{3\times 96500}\] \[5.12\times {{10}^{3}}=\frac{27}{3\times 96500}\times Q\] \[Q=\frac{5.12\times {{10}^{3}}\times 3\times 96500}{27}C\]     \[=5.49\times {{10}^{7}}C\]


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