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For a zero-order reaction, if the initial concentration is 0.5 M and the rate co

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Question: For a zero-order reaction, if the initial concentration is 0.5 M and the rate constant is 0.1 M/s, how long will it take for the concentration to drop to 0.2 M?

Options:

  1. 3 s
  2. 5 s
  3. 7 s
  4. 10 s

Correct Answer: 5 s

Solution: 

For a zero-order reaction, [A] = [A]0 - kt. Thus, 0.2 M = 0.5 M - (0.1 M/s)t, leading to t = (0.5 - 0.2) / 0.1 = 3 s.

For a zero-order reaction, if the initial concentration is 0.5 M and the rate co

Practice Questions

Q1
For a zero-order reaction, if the initial concentration is 0.5 M and the rate constant is 0.1 M/s, how long will it take for the concentration to drop to 0.2 M?
  1. 3 s
  2. 5 s
  3. 7 s
  4. 10 s

Questions & Step-by-Step Solutions

For a zero-order reaction, if the initial concentration is 0.5 M and the rate constant is 0.1 M/s, how long will it take for the concentration to drop to 0.2 M?
  • Step 1: Identify the initial concentration of the reactant, which is [A]0 = 0.5 M.
  • Step 2: Identify the final concentration of the reactant, which is [A] = 0.2 M.
  • Step 3: Identify the rate constant, which is k = 0.1 M/s.
  • Step 4: Write the formula for a zero-order reaction: [A] = [A]0 - kt.
  • Step 5: Substitute the known values into the formula: 0.2 M = 0.5 M - (0.1 M/s)t.
  • Step 6: Rearrange the equation to solve for t: (0.1 M/s)t = 0.5 M - 0.2 M.
  • Step 7: Calculate the difference: 0.5 M - 0.2 M = 0.3 M.
  • Step 8: Now the equation is (0.1 M/s)t = 0.3 M.
  • Step 9: Divide both sides by 0.1 M/s to find t: t = 0.3 M / 0.1 M/s.
  • Step 10: Calculate t: t = 3 seconds.
  • Zero-Order Reactions – In zero-order reactions, the rate of reaction is constant and independent of the concentration of the reactant.
  • Rate Law – The rate law for a zero-order reaction is expressed as [A] = [A]0 - kt, where [A]0 is the initial concentration, k is the rate constant, and t is time.
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