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Proof by mathematical induction

The rate cons...

Question

The rate constant (K) for the reaction, $2 A + B \to$ Product was found to be $2.5 \times 10^{- 5}$ litre $m o l^{- 1} s e c^{- 1}$ after 15 sec, $2.60 \times 10^{- 5} l i t r e m o l^{- 1} s e c^{- 1}$ after 30 sec and $2.55 \times 10^{- 5} l i t r e m o l^{- 1} s e c^{- 1}$ after 50 sec. The order of reaction is:

A

2

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B

3

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C

0

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D

1

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Solution

The correct option is A $2$
The order of reaction is 2.

K does not change with time; thus its value remains unchanged during the reaction.

By seeing the equation, it can be said that reaction is a third order but the unit of K suggest it to be 2nd order.

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Similar questions

Q. The rate constant

(K)

for the reaction,

2 A + B \to

Product was found to be

2.5 \times 10^{- 5}

{m o l}^{- 1} {s e c}^{- 1}

15

2.60 \times 10^{- 5}

{m o l}^{- 1} {s e c}^{- 1}

30

2.55 \times 10^{- 5}

{m o l}^{- 1} {s e c}^{- 1}

50

sec.
The order of reaction is:

Q. The rate constant

(k)

for the reaction

2 A + B \to

product, was found to be

2.5 \times 10^{- 5}

{m o l}^{- 1} {s e c}^{- 1}

15

2.60 \times 10^{- 5}

{m o l}^{- 1} {s e c}^{- 1}

30

2.55 \times 10^{- 5}

{m o l}^{- 1} {s e c}^{- 1}

50

The order of the reaction is:

Q. The rate constant

(K)

for the reaction

2 A + B \to

product, was found to be

2.5 \times 10^{- 5}

l i t r e m o l^{- 1} s e c^{- 1}

15 s e c

2.60 \times 10^{- 5} l i t m o l^{- 1} s e c^{- 1}

30 s e c

2.55 \times 10^{- 5}

l i t m o l^{- 1} s e c^{- 1}

50 s e c

. The order of reaction is:

Q. The rate constant of the reaction :

2 A + B \to C

2.57 \times 10^{- 5}

l t . m o l^{- 1}

s e c^{- 1}

2.65 \times 10^{- 5}

l t . m o l^{- 1} s e c^{- 1}

after 20 sec and

2.55 \times 10^{- 5}

l t . m o l^{- 1} s e c^{- 1}

after 30 sec. The order of the reaction is :

Q. The rate constant of reaction

2 A + B \to C

2.57 \times 10^{- 5}

l i t r e

{m o l e}^{- 1}

{s e c}^{- 1}

10

2.65 \times 10^{- 5}

l i t r e

{m o l e}^{- 1}

{s e c}^{- 1}

20

2.55 \times 10^{- 5} l i t r e .

{m o l e}^{- 1}

{s e c}^{- 1}

30

sec. The order of the reaction is:

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