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Chemical Kinetics

Question
CBSEENCH12006286

e reaction between A and B is first order with respect to A and zero order with respect to B. Fill in the blanks in the following table:

exp.

 

[A]/
mol L–1

[B]/M

Initial rate of formation
of D/mol L–1 min–1

I

0.1

0.1


2.0 x 10–2

II

-

0.2

4.0 x 10–2

 

III

0.4

0.4

-

IV

-

0.2

2.0 x 10–2

Solution

Rate law for the reaction is given by:
Rate = k [A]1 [B]0 = k[A]
2.0 x 10–2 mol L–1 min–1 = k[0.1 mol L–1]
Rate constant,

k=2.0×10-2mol L-1 min-10.1 mol L-1 or

Rate constant = k = 0.2 min–1.
(i) In experiment II Rate = k[A]

A = ratek

 

       = 4.0×10-2M min-10.2 min-1=0.20 M       


(ii) In experiment III

Rate = k[A]
= 0.2 min–1 x 0.4 M
= 0.08 min–1
= 8.0 x 10–2 M min–1

(iii) In experiment IV

Rate = k[A]

A = ratek=2.0×10-2M min-10.2 min-1 = 0.1 M


Thus the completed table is

exp.

 

[A]/
mol L–1

[B]/M

Initial rate of formation
of D/mol L–1 min–1

I

0.1

0.1


2.0 x 10–2

II

0.2

0.2

4.0 x 10–2

 

III

0.4

0.4

8.0 x 10-2

IV

0.1

0.2

2.0 x 10–2