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Q.

A certain reactant Bn+ is getting converted to B(n+4)+ in solution. The rate constant of this reaction is measured by titrating a volume of the solution with a reducing reagent which only reacts with Bn+ and B(n+4)+ . In this process, it converts  Bn+ to B(n2)+ and    B(n+4)+ to  B(n1)+ . At t = 0, the volume of the reagent consumed is 25 mL and at t = 10 min, the volume used up is 32 mL. The rate constant of the conversion of Bn+   to B(n+4)+  is x (in  min1) assuming it to be a first order reaction. Find 100 x(ln 75=4.3, ln61=4.1) (Rounding to nearest integer)

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answer is 2.

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Detailed Solution

 Bn+       B(n+4)+ t=0                    a                          t=10min.       ax                   xv.f.   of   Bn+  =|(n2)n|=2v.f.   of  B(n+4)+=|(n+4)(n1)|=5
Let normality of reducing agent = N
so           2a=25N       a = 12.5 N
       2(ax)+5x=32N
       2a+3x=32N        x=73NK×10=lnaax=ln12.5  N12.5  N73NK=0.02min1

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