Q54 / 180 · AIIMS 2010 · Chemistry

A factory produces $40 \mathrm{~kg}$ of calcium in two hours by electrolysis. How much aluminium can be produced by same current in 2 hours if current efficiency is $50 \%$ ?

  • A
    $22 \mathrm{~kg}$
  • B
    $18 \mathrm{~kg}$
  • Correct answer
    C
    $9 \mathrm{~kg}$
  • D
    $27 \mathrm{~kg}$

Solution

$\frac{W_{\mathrm{Ca}}}{E_{\mathrm{Ca}}}=\frac{W_{\mathrm{Al}}}{E_{\mathrm{Al}}} \Rightarrow \frac{40}{20}=\frac{W_{\mathrm{Al}}}{9} \Rightarrow W_{\mathrm{Al}}=18 \mathrm{~kg}$ As current efficiency is $50 \% \mathrm{so}, W_{\mathrm{Al}}=9 \mathrm{~kg}$

Hence, the correct answer is option: 'C'.

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