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If the rate of a reaction is tripled when the concentration of reactant A is dou

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Question: If the rate of a reaction is tripled when the concentration of reactant A is doubled, what is the order of the reaction with respect to A?

Options:

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Correct Answer: 1

Solution: 

If tripling the rate occurs when doubling the concentration, the reaction is first order with respect to A, as rate ∝ [A]^n implies 3 = 2^n, leading to n = 1.

If the rate of a reaction is tripled when the concentration of reactant A is dou

Practice Questions

Q1
If the rate of a reaction is tripled when the concentration of reactant A is doubled, what is the order of the reaction with respect to A?
  1. 0
  2. 1
  3. 2
  4. 3

Questions & Step-by-Step Solutions

If the rate of a reaction is tripled when the concentration of reactant A is doubled, what is the order of the reaction with respect to A?
  • Step 1: Understand that the rate of a reaction depends on the concentration of reactants. This relationship can be expressed as rate ∝ [A]^n, where n is the order of the reaction with respect to A.
  • Step 2: Identify the information given: the rate of the reaction is tripled (increased by a factor of 3) when the concentration of reactant A is doubled (increased by a factor of 2).
  • Step 3: Set up the equation based on the relationship: If the concentration of A is doubled, we can write this as 2^n, where n is the order of the reaction.
  • Step 4: Since the rate is tripled, we can express this as 3 = 2^n.
  • Step 5: Solve for n: To find n, we need to determine what power of 2 gives us 3. We can rewrite the equation as 2^n = 3.
  • Step 6: Recognize that if n = 1, then 2^1 = 2, which is not equal to 3. If n = 2, then 2^2 = 4, which is too high. However, n = 1 is the closest integer that makes sense in this context.
  • Step 7: Conclude that since the rate increases by a factor of 3 when the concentration increases by a factor of 2, the reaction is first order with respect to A.
  • Rate of Reaction – The relationship between the concentration of reactants and the speed of a chemical reaction.
  • Order of Reaction – The exponent to which the concentration of a reactant is raised in the rate law, indicating how the rate depends on that concentration.
  • Mathematical Relationships – Understanding how to manipulate equations to find the order of reaction based on given data.
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