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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 to reach 0.2 M? (2021)

Options:

  1. 3 s
  2. 5 s
  3. 2 s
  4. 4 s

Correct Answer: 4 s

Solution: 

For a zero-order reaction, t = [A₀ - A] / k. Here, 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 to reach 0.2 M? (2021)
  1. 3 s
  2. 5 s
  3. 2 s
  4. 4 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 to reach 0.2 M? (2021)
  • Step 1: Identify the initial concentration of the reactant, which is given as 0.5 M.
  • Step 2: Identify the final concentration of the reactant that we want to reach, which is 0.2 M.
  • Step 3: Identify the rate constant (k) for the zero-order reaction, which is given as 0.1 M/s.
  • Step 4: Use the formula for a zero-order reaction: t = (A₀ - A) / k, where A₀ is the initial concentration and A is the final concentration.
  • Step 5: Substitute the values into the formula: t = (0.5 M - 0.2 M) / 0.1 M/s.
  • Step 6: Calculate the difference in concentration: 0.5 M - 0.2 M = 0.3 M.
  • Step 7: Divide the difference by the rate constant: 0.3 M / 0.1 M/s = 3 s.
  • Step 8: Conclude that it will take 3 seconds to reach the final concentration of 0.2 M.
  • 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 rate = k, where k is the rate constant.
  • Time Calculation – The time taken to reach a certain concentration can be calculated using the formula t = ([A₀ - A] / k).
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