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Q.

The following results have been obtained during the kinetic studies of the reaction 2P+QR+S       

Experiment

[P]

mol/lit

[Q]

mol/lit

Rate of

reaction

(mol/lit/sec)

I

0.1

0.1

6×10-3

II

0.4

0.1

2.4×10-2

III

0.4

0.2

9.6×10-2

IV

0.8

0.4

76.8×10-2

The correct option for the rate equation for above reaction is

see full answer

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a

Rate=K[P]2[Q]

b

Rate=K[P]2[Q]0

c

Rate=K[P][Q]

d

Rate=K[P]1[Q]2

answer is D.

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Detailed Solution

On comparing experimental results of I and II , we can conclude that Rate α P ( when [P] is made 4 times rate became 4 times)On comparing experimental results of II and III , we can conclude that Rate α Q2 ( when [Q] is made 2 times rate became 4 times) Based on above observations, Rate=K[P]1[Q]2

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The following results have been obtained during the kinetic studies of the reaction 2P+Q→R+S        Experiment [P] mol/lit [Q] mol/lit Rate of reaction (mol/lit/sec) I 0.1 0.1 6×10-3 II 0.4 0.1 2.4×10-2 III 0.4 0.2 9.6×10-2 IV 0.8 0.4 76.8×10-2 The correct option for the rate equation for above reaction is