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A. The half-life for a first order reaction in 49 minutes. What isthe rate constant?
B.For a second order reaction, the half-life is 726 seconds.Starting with a concentration of 0.600 M, how long will it take forthe concentration to decrease to 0.150 M?
C. The half-life for a first order reaction is 2768 years. Startingwith a concentration of 0.345 M, what will the concentration beafter 11,072 years?

D. The half-life for first order reaction A is 75 minutes. Thehalf-life for a different first order reaction B is 322 minutes.Which reaction has the faster rate? (A or B) Which reaction has thelarger rate constant, k? (A or B)

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Bunny GreenfelderLv2
28 Sep 2019
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Related questions

Half life equation for first order reactions t1/2 = 0.693/kwhere t1/2 is the half life in second and k is the rate constant ininverse seconds

A what is the half life of a first order reaction with a rateconstant of 5.10 * 10^-4/s

B what is the rate constant of a first order reaction that takes6.10 minutes for the reactant concentration to drop to half of itsinitial value

C a certain first order reaction has a rate constant of5.10*10^-3/s how long will it take for the reactant concentrationto drop to 1/8 of its initial value

For a first-order reaction, the half-life is constant. It depends only on the rate constant k and not on the reactant concentration. It is expressed as t1/2=0.693k For a second-order reaction, the half-life depends on the rate constant and the concentration of the reactant and so is expressed as t1/2=1k[A]0

Part A

A certain first-order reaction (A→products) has a rate constant of 7.50×10−3 s−1 at 45 ∘C. How many minutes does it take for the concentration of the reactant, [A], to drop to 6.25% of the original concentration?

Part B

A certain second-order reaction (B→products) has a rate constant of 1.10×10−3 M−1⋠s−1 at 27 ∘C and an initial half-life of 204 s . What is the concentration of the reactant B after one half-life?

± Half-life for First and Second Order Reactions The half-life of a reaction, t1/2, is the time it takes for the reactant concentration [A] to decrease by half. For example, after one half-life the concentration falls from the initial concentration [A]0 to [A]0/2, after a second half-life to [A]0/4, after a third half-life to [A]0/8, and so on. on. For a first-order reaction, the half-life is constant. It depends only on the rate constant k and not on the reactant concentration. It is expressed as t1/2=0.693k For a second-order reaction, the half-life depends on the rate constant and the concentration of the reactant and so is expressed as t1/2=1k[A]0

Part A) A certain first-order reaction (A→products) has a rate constant of 5.40×10−3 s−1 at 45 ∘C. How many minutes does it take for the concentration of the reactant, [A], to drop to 6.25% of the original concentration? Express your answer with the appropriate units.

Part B) A certain second-order reaction (B→products) has a rate constant of 1.15×10−3 M−1⋠s−1 at 27 ∘C and an initial half-life of 282 s . What is the concentration of the reactant B after one half-life? Express your answer with the appropriate units.

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