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At a certain temperature this reaction follows first-order kinetics with a rate constant of Suppose a vessel contains at a concentration of . Calculate the concentration of in the vessel seconds later. You may assume no other reaction is important. Round your answer to significant digits.

1 Answer

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The question is incomplete, the complete question is;

At a certain temperature this reaction follows first-order kinetics with a rate constant of 0.184 s^-1 ? Suppose a vessel contains Cl_2 O_5 at a concentration of 1.16 M. Calculate the concentration of Cl_2 O_5 in the vessel 5.70 seconds later. You may assume no other reaction is important.

Answer:

0.41 M

Step-by-step explanation:

Recall that for a first order reaction;

kt = ln [Ao]/[A]

Where;

k = rate constant = 0.184 s^-1

t=time elapsed = 5.70 seconds

[Ao] = initial concentration = 1.16 M

[A]= concentration at time t = the unknown

So,

e^kt = e^ln[Ao]/[A]

e^kt =[Ao]/[A]

[A] = [Ao]/e^kt

[A] = 1.16 M/e^(0.184s-1 * 5.70 s)

[A] = 0.41 M

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