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JEE Advanced levelSingle correct optionDifficulty 3 of 3df051

In the reaction $2 MnO X_{4} X^{-} + 5 C X_{2} O X_{4} X^{2 -} + 16 H X^{+} 2 Mn X^{2 +} + 10 CO X_{2} + 8 H X_{2} O$ in acidic medium, the initial rate is slow but increases as the reaction proceeds. The autocatalyst, and the volume of $CO X_{2}$ at STP produced from $40.0 mL$ of $0.100 M$ $KMnO X_{4}$ with excess oxalate, are

A $Mn X^{2 +}$ ; $0.224 L$
B $H X^{+}$ ; $0.448 L$
C $Mn X^{2 +}$ ; $0.448 L$
D $Mn X^{2 +}$ ; $0.0896 L$

Answer: C

The product

Mn X^{2 +}

catalyses its own formation (via Mn(III) intermediates), so the rate rises. Moles of

MnO X_{4} X^{-}

=

0.0400 \times 0.100 = 0.00400

; the ratio

CO X_{2} : MnO X_{4} X^{-}

is 10:2 = 5, so

CO X_{2}

=

0.0200

mol. Volume =

0.0200 \times 22.4 = 0.448 L

.

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