Q.

For the two reactions I : A B; II: CD following graph is obtained. 

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Which of the following is true:

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a

[A]=[C] at t=32min

b

t100%Reaction I =t100%Reaction II 

c

If [B] = [A] then at that time [D] = 0.75

d

It [C] : [A] then at that time [B] > [D]

answer is A.

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Detailed Solution

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(1) True 

                         A                    B

Initial             0.5                          0

At eq.            0.25                        0.25

When [A] = [B] = 0.25 M

[B]t=k1t=tan30t=13t0.25=13t, t=0.253.[D]t=kIIt=tan60t=3t(t=0.253) =3×0.25×3 =0.75M.

(2) False 

if [C] = [A] then at that time [B] < [D]

(3) False

t100%=ak( for zero order )kI=1/3, kII=3t100%t100%=aIaIIkIIkI=0.51×31/3=32

(4) [A]t=[A]0kIt or [A]t=0.513t

[C]t=[C]0kIIt or [C]t=13t  if [.4]=[C]t 

 i.e., 0.513t=13t or 313t=0.5t=34min.

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