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)

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Q: 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)

Solution: For a zero-order reaction, t = [A₀ - A] / k. Here, t = (0.5 - 0.2) / 0.1 = 3 s.

Steps: 8

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.