The rate constant for the first order decomposition of SO₂Cl₂ is 1.37 × 10^-3 min^-1 at a certain temperature. If the concentration is initially 0.500 M, predict it after 300 min.

Question

Quizplus · Accepted Answer

We can use the first-order integrated rate law equation:

ln([A]t/[A]0) = -kt

where [A]t is the concentration of the reactant at time t, [A]0 is the initial concentration, k is the rate constant, and t is time.

Plugging in the values:

ln([A]t/0.500 M) = -(1.37 × 10^-3 min^-1)(300 min)

Solving for [A]t:

[A]t = 0.331 M

Therefore, the answer is (B).

The Rate Constant for the First Order Decomposition of SO2Cl2

The Rate Constant for the First Order Decomposition of SO₂Cl₂