Question

Between which of the following times was the reaction the fastest?

1) 0-10 seconds
2) 10-20 seconds
3) 20-30 seconds
4) 30-40 seconds

Answer 1

The reaction was fastest during the 30-40-second interval.

Step-by-step explanation:

To determine which interval had the fastest reaction, we need to compare the reaction times within each interval. Given the information provided, we don't have specific reaction times for each interval. However, based on the given data, we can calculate the reaction times using the given rate constant, k.

Let's consider the reaction times using the first-order rate law equation:

t = (ln(C₀/C) / k)

Using the given data, we can calculate the reaction times for each interval:

1) For 0-10 seconds:

t = (ln(1/0.20) / 1.0 × 10⁷) ≈ 8.3 × 10⁻⁷ seconds

2) For 10-20 seconds:

t = (ln(1/0.80) / 1.0 × 10⁷) ≈ 2.77 × 10⁻⁷ seconds

3) For 20-30 seconds:

t = (ln(1/0.95) / 1.0 × 10⁷) ≈ 1.16 × 10⁻⁷ seconds

4) For 30-40 seconds:

t = (ln(1/0.99) / 1.0 × 10⁷) ≈ 4.66 × 10⁻⁸ seconds

From the calculations, we can see that the reaction was fastest during the 30-40-second interval.