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In a reaction between A and B, the initial rate of reaction (r0) was measured for different initial concentrations of A and B as given below: What is the order of the reaction with respect to A and B? - Chemistry

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प्रश्न

In a reaction between A and B, the initial rate of reaction (r0) was measured for different initial concentrations of A and B as given below:

A/mol L−1 0.20 0.20 0.40
B/mol L−1 0.30 0.10 0.05
r0/mol L−1 s−1 5.07 × 10−5 5.07 × 10−5 1.43 × 10−4

What is the order of the reaction with respect to A and B?

संख्यात्मक

उत्तर

`"dx"/"dt"` = k[A]x [B]y

5.07 × 10−5 = k(0.2)x (0.3)y   ...(i)

5.07 × 10−5 = k(0.2)x (0.10)y   ...(ii)

Dividing (i) by (ii), we get

1 = 3y ⇒ 30

3y ⇒ y = 0

5.07 × 10−5 = k(0.2)x (0.1)0   ...(iii)

1.43 × 10−4 = k(0.4)x (0.05)0   ...(iv)

Dividing (iv) by (iii), we get 2.8 = 2x

log 2.8 = x log 2

or x = `log2.8/log2.0`

= `0.4472/0.3010`

= 1.48

≈ 1.5

The order of reaction is 1.5 with respect to 'A' and zero with respect to 'B'.

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पाठ 4: Chemical Kinetics - Exercises [पृष्ठ ११८]

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एनसीईआरटी Chemistry [English] Class 12
पाठ 4 Chemical Kinetics
Exercises | Q 10 | पृष्ठ ११८

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