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23 Nov 2019

Half-life equation for first-order reactions: t1/2=0.693/k where t1/2 is the half-life in seconds , and k is the rate constant in inverse seconds .a.) What is the half-life of a first-order reaction with a rate constant of 6.10

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Trinidad Tremblay
Trinidad TremblayLv2
5 Jan 2019

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Related questions

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

What would be the initial rate in an experiment with initial concentrations [ (CH3) 3N]=4.2×10−2M and [ClO2]=3.4×10−2M?

± 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.

A 3.214 g sample of technetium-95 is sealed in a container. After 44.2 hours, the amount of technetium-95 remaining is 0.693 g.

(a) Calculate the rate constant k for 95Tc.

Answer: __________ 1/h

(b) Calculate the half-life t1/2 for 95Tc.

Answer: ______h

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