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

JEE Main · 2020 · 04 Sep 2020 · Shift 2 · Redox Reactions and Electrochemistry

Consider the following equations :

2 Fe^{2 +} + H_{2} O_{2} \to x A + y B

(in basic medium)
(in acidic medium)

2 MnO_{4}^{-} + 6 H^{+} + 5 H_{2} O_{2} \to x^{'} C + y^{'} D + z^{'} E

(in acidic medium)
The sum of the stoichiometric coefficients

x, y, x^{'}, y^{'}

and

z^{'}

for products

A, B, C, D

and E , respectively, is ____

Answer: 19

In basic medium the iron reaction balances as

2 F e^{2 +} + H_{2} O_{2} \to 2 F e^{3 +} + 2 O H^{-}

, giving

x = 2

and

y = 2

. In acidic medium the permanganate reaction balances as

2 Mn O_{4}^{-} + 6 H^{+} + 5 H_{2} O_{2} \to 2 M n^{2 +} + 5 O_{2} + 8 H_{2} O

, giving

x^{'} = 2

y^{'} = 5

and

z^{'} = 8

. The sum

x + y + x^{'} + y^{'} + z^{'} = 2 + 2 + 2 + 5 + 8 = 19

JEE Main · 2020 · 04 Sep 2020 · Shift 2 · Integer answer