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When will the concentration of [tex][I_2][/tex] be 0.0030 M if [tex][I_2]_0 = 2.12 \, \text{M}[/tex]?

A. 1500 seconds
B. 2000 seconds
C. 2500 seconds
D. 3000 seconds

Answer :

Final answer:

Without the reaction order and rate constant, we cannot calculate the time required for the concentration of I₂ to reach 0.0030 M. Normally, we would use the integrated rate laws for first-order or second-order reactions along with the rate constant to solve for time.

Explanation:

To determine when the concentration of I₂ will be 0.0030 M, given that [I₂]₀ = 2.12 M, we need to apply the concept of reaction kinetics, likely involving a first-order or second-order reaction. Unfortunately, the provided data doesn't include the rate constant or the order of the reaction, which are essential pieces of information to solve this kinetic problem. Without this information, we are unable to calculate the required time for the concentration of I₂ to reach 0.0030 M.

Normally, to solve such problems, we would use the integrated rate laws for first-order or second-order reactions, along with the given rate constant (k), to find the time at which the concentration reaches a specific value. The equations differ based on the order of the reaction:

  • For a first-order reaction: ln([A]₀ / [A]) = kt
  • For a second-order reaction: 1/[A] - 1/[A]₀ = kt

In both cases, [A]₀ represents the initial concentration, [A] the concentration at time t, and k the rate constant.

Since we are missing crucial information, we cannot provide an exact answer from the options (a) 1500 seconds, (b) 2000 seconds, (c) 2500 seconds, (d) 3000 seconds. It's important to review the materials you have to find the missing kinetics data in order to solve this question.

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