$2\, Mn O _{4}^{-}+ b\, C _{2} O _{4}^{2-}+ c\, H ^{+} \rightarrow x\, Mn ^{2+}+ y\, CO _{2}$ $+ z\, H _{2} O$

જો ઉપરોક્ત સમીકરણ પૂર્ણાંક ગુણાંક સાથે સંતુલિત છે, તો $c$ ની કિંમત ....... છે.

Question

$2\, Mn O _{4}^{-}+ b\, C _{2} O _{4}^{2-}+ c\, H ^{+} \rightarrow x\, Mn ^{2+}+ y\, CO _{2}$ $+ z\, H _{2} O$

જો ઉપરોક્ત સમીકરણ પૂર્ણાંક ગુણાંક સાથે સંતુલિત છે, તો $c$ ની કિંમત ....... છે.

JEE MAIN 2021, Medium

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Solution

d
Writting the half reaction oxidation half reaction

$MnO _{4}^{-} \rightarrow Mn ^{2+}$

balancing oxygen

$MnO _{4}^{-} \rightarrow Mn ^{2+}+4 H _{2} O$

balancing Hydrogen

$8 H ^{+}+ MnO _{4}^{-} \rightarrow Mn ^{2+}+4 H _{2} O$

balancing charge

$5 e ^{-}+8 H ^{+}+ MnO _{4}^{-} \rightarrow Mn ^{2+}+4 H _{2} O$

Reduction half

$C _{2} O _{4}^{2-} \rightarrow CO _{2}$

Balancing carbon

$C _{2} O _{4}^{2-} \rightarrow 2 CO _{2}$

Balancing charge

$C _{2} O _{4}^{2-} \rightarrow 2 CO _{2}+2 e ^{-}$

Net equation

$16 H ^{+}+2 MnO _{4}^{-}+5 C _{2} O _{4}^{2-} \rightarrow 10 CO _{2}+2 Mn ^{2+}+8 H _{2} O$

So $\quad c=16$

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