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For a reaction with a rate constant k, what is the relationship between the rate

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Question: For a reaction with a rate constant k, what is the relationship between the rate of reaction and the concentration of reactants for a first-order reaction?

Options:

  1. Rate = k[A]^2
  2. Rate = k[A]
  3. Rate = k[A]^3
  4. Rate = k[A]^0

Correct Answer: Rate = k[A]

Solution: 

For a first-order reaction, the rate of reaction is directly proportional to the concentration of the reactant, given by Rate = k[A].

For a reaction with a rate constant k, what is the relationship between the rate

Practice Questions

Q1
For a reaction with a rate constant k, what is the relationship between the rate of reaction and the concentration of reactants for a first-order reaction?
  1. Rate = k[A]^2
  2. Rate = k[A]
  3. Rate = k[A]^3
  4. Rate = k[A]^0

Questions & Step-by-Step Solutions

For a reaction with a rate constant k, what is the relationship between the rate of reaction and the concentration of reactants for a first-order reaction?
  • Step 1: Understand that a first-order reaction means the rate depends on the concentration of one reactant.
  • Step 2: Identify the reactant in the reaction, which we will call [A].
  • Step 3: Know that the rate of the reaction is how fast the reactants turn into products.
  • Step 4: Learn that for a first-order reaction, the rate is calculated using the formula: Rate = k[A].
  • Step 5: Recognize that 'k' is the rate constant, a number that helps determine the speed of the reaction.
  • Step 6: Understand that if the concentration of [A] increases, the rate of the reaction also increases.
  • Step 7: Conclude that the relationship is direct: as [A] goes up, the rate goes up.
  • First-Order Reaction – In a first-order reaction, the rate of reaction depends linearly on the concentration of one reactant.
  • Rate Constant (k) – The rate constant is a proportionality factor that relates the rate of reaction to the concentration of reactants.
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