Q.

A substance · 'A' undergoes disproportionation reaction to form A3+ and A2 obeying first order kinetics. The rate · constant is obtained by measuring volume of an oxidizing agent capable of oxidizing A, A3+ and A2 A2 to A2+, A4+, A1+respectively. From the following data, calculate moles of A2 6 minutes after start of the reaction if initially 10 moles of A was taken. 

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answer is 5.

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Detailed Solution

 AA3++3e×2     Using KMnO4

A+2eA2×35A2A3++3A2     AA2+nf=2A3+A4+

t=t 105x 2x 3x  nf=1A2A1+nf=3

At t=4 min

(105x)2+2x×1+3x×3=N×21.52010x+11x=N×21.520+x20=N×21.5N×201+x20=215200=4340x20=340x=1.5mole

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