Question

Consider the following equations:
$2 Fe ^{2+}+ H _{2} O _{2} \rightarrow x A + y B$ (in basic medium)
$2 MnO _{4}^{-}+6 H ^{+}+5 H _{2} O _{2} \rightarrow x ^{\prime} C + y ^{\prime} D + z ^{\prime} E$ (in acidic medium)
The sum of the stoichiometric coefficients
$x , y , x ^{\prime}, y ^{\prime}$ and $z ^{\prime}$ for products $A , B , C , D$ and $E$, respectively, is ___

Answer 1

$\left[ Fe ^{2+} \rightarrow Fe ^{3+}+ e ^{-}\right] \times 2$

$\frac{ H _{2} O _{2}+2 e ^{-} \rightarrow 2 HO ^{⊖}}{2 Fe ^{2+}+ H _{2} O _{2} \rightarrow 2 Fe ^{3+}+2 HO _{\text {qω }}^{⊖}}$

$x =2 \,\,\,\, y =2$

$\left[8 H ^{+}+ MnO _{4}^{-}+5 e ^{-} \rightarrow Mn ^{2+}+4 H _{2} O \right] \times 2$

$\left[ H _{2} O _{2} \rightarrow O _{2( g )}+2 H ^{+}+2 e ^{-}\right] \times 5$

$\Rightarrow 16 H ^{+}+2 MnO _{4}^{-}+5 H _{2} O _{2}$

$ \rightarrow 2 Mn ^{2+}+8 H _{2} O +5 O _{2( g )}+10 H ^{+}$

$\Rightarrow 6 H ^{+}+2 MnO _{4}^{-}+5 H _{2} O _{2}$

$ \rightarrow 2 Mn ^{2+}+8 H _{2} O +5 O _{2( g )}$

So $ x ^{\prime}=2 \,\,\,y ^{\prime}=8 \,\,\, z ^{\prime}=5$

so $ x + y + x ^{\prime}+ y ^{\prime}+ z ^{\prime}$

$\Rightarrow 2+2+2+8+5$

$\Rightarrow 19$