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In a reaction with a rate constant k, if the concentration of reactant A is doub

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Question: In a reaction with a rate constant k, if the concentration of reactant A is doubled, how does the rate change if the reaction is second order with respect to A?

Options:

  1. Rate remains the same
  2. Rate doubles
  3. Rate quadruples
  4. Rate increases by a factor of eight

Correct Answer: Rate quadruples

Solution:

For a second order reaction, if [A] is doubled, the rate increases by a factor of (2^2) = 4, thus the rate quadruples.

In a reaction with a rate constant k, if the concentration of reactant A is doub

Practice Questions

Q1
In a reaction with a rate constant k, if the concentration of reactant A is doubled, how does the rate change if the reaction is second order with respect to A?
  1. Rate remains the same
  2. Rate doubles
  3. Rate quadruples
  4. Rate increases by a factor of eight

Questions & Step-by-Step Solutions

In a reaction with a rate constant k, if the concentration of reactant A is doubled, how does the rate change if the reaction is second order with respect to A?
  • Step 1: Understand that a second order reaction means the rate depends on the concentration of A squared.
  • Step 2: Write the rate equation for a second order reaction: Rate = k[A]^2.
  • Step 3: If the concentration of A is doubled, we replace [A] with 2[A].
  • Step 4: Substitute 2[A] into the rate equation: Rate = k(2[A])^2.
  • Step 5: Calculate (2[A])^2, which equals 4[A]^2.
  • Step 6: Now the new rate equation is Rate = k * 4[A]^2.
  • Step 7: Compare the new rate (4 times the original rate) to the original rate: The rate increases by a factor of 4.
  • Step 8: Conclude that if the concentration of A is doubled, the rate quadruples.
  • Order of Reaction – The order of a reaction indicates how the rate is affected by the concentration of reactants. A second order reaction means the rate is proportional to the square of the concentration of the reactant.
  • Rate Law – The rate law for a second order reaction with respect to A can be expressed as rate = k[A]^2, showing that the rate depends on the square of the concentration of A.
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