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How long will it take for the concentration of SO₂Cl2 to decrease to 25?

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Final answer:

To find the time it takes for the concentration of SO₂Cl₂ to decrease to 25, you can use the integrated rate law. Plug in the values and solve for the concentration after 20 h.

Step-by-step explanation:

To find the time it takes for the concentration of SO₂Cl₂ to decrease to 25, we can use the integrated rate law. Let's assume the reaction follows first-order kinetics.

a. The integrated rate law is ln([A]t/[A]0) = -kt, where [A]t is the concentration at time t, [A]0 is the initial concentration, k is the rate constant, and t is time. We can rearrange this equation to [A]t = [A]0 * e^(-kt). Plug in the values and find the concentration after 20 h.

b. To find the time it takes for 90% of the SO₂Cl₂ to decompose, we can rearrange the integrated rate law equation to t = -ln([A]t/[A]0)/k. Plug in the values and solve for t.

To find the time it takes for 90% of the SO₂Cl₂ to decompose, rearrange the integrated rate law equation and solve for t.

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