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Question

The thermal decomposition of Acetaldehyde CH3CHOoccurs as: CH3CHO→CH4+CO. The kinetic data of the thermal decomposition is given below. The rate expression thus can be given as:

The kinetic data of the thermal decomposition.

(CH3CHO) mol.lit-1Rate (mol.lit-1.sec-1)
1.75Γ—10-32.06Γ—10-11
3.5Γ—10-38.24Γ—10-11
7.0Γ—10-33.30Γ—10-10

A

k[CH3CHO]

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B

k[CH3CHO]1/2

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C

k[CH3CHO]2

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D

k[CH3CHO]3

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Solution

The correct option is C

k[CH3CHO]2


The explanation for the correct answer

(C) k[CH3CHO]2

Rate law

  • It is an expression for a chemical reaction that gives a relationship between the concentration of the reactants and the rate of the reaction.
  • Here the rate is given by r=kΓ—[CH3CHO]x

Step1: Equating the Rate of the reaction and concentration of the reactant

  • 2.06Γ—10-11=kΓ—1.75Γ—10-3xβ†’1
  • 8.24Γ—10-11=kΓ—3.5Γ—10-3xβ†’2
  • 3.30Γ—10-10=kΓ—7.0Γ—10-3xβ†’3

Step2: Solving 1&2

  • Rate1Rate2=kCH3CHO1xkCH3CHO2x
  • Rate1Rate2=CH3CHO1xCH3CHO2x
  • 2.06Γ—10-118.24Γ—10-11=(1.75Γ—10-3)x(3.5Γ—10-3)x
  • 2.068.24=1.753.5x
  • 14=12x
  • x=2

Then rate expression is given by k[CH3CHO]2

Therefore, Option (C) k[CH3CHO]2 is correct.


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