MCQ
An acidic solution of dichromate is electrolyzed for $8$ minutes using $2$ $A$ current. As per the following equation

$Cr _{2} O _{7}^{2-}+14 H ^{+}+6 e ^{-} \rightarrow 2 Cr ^{3+}+7 H _{2} O$

The amount of $Cr ^{3+}$ obtained was $0.104\, g$. The

efficiency of the process(in\%) is

(Take : $F =96000\, C$, At. mass of chromium $=52$ )

  • $60$
  • B
    $56$
  • C
    $64$
  • D
    $50$

Answer

Correct option: A.
$60$
a
Moles of $e ^{\ominus}=\left(\frac{8 \times 60 \times 2}{96000}\right)$

Using stoichiometry; theoritically

$\frac{ n _{ e ^{\ominus}} used }{6}=$$\frac{ n _{ cr ^{+3}} \text {produced }}{2}$

$\Rightarrow n _{ cr ^{+3}}$ produced $=\frac{2}{6} \times \frac{8 \times 60 \times 2}{96000}$

$=\frac{0.02}{6}$

$\Rightarrow wt _{ cr ^{+3}}$ theoritically produced

$=\left(\frac{0.02}{6} \times 52\right) g$

$\Rightarrow \%$ efficiency $=\frac{0.104 g }{\left(\frac{0.02 \times 52}{6}\right) g } \times 100$

$=60 \%$

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