Relate the concepts of lifetime, rate constant and half-life, mathematically.
A decay equation is given by:
A = A0e-kt, where A is the count at time t, A0 is initial count and k is the rate constant of decay
Now lifetime is the time t for A = 0
Half-life is the time taken for A = A0 / 2
Relate the concepts of lifetime, rate constant and half-life, mathematically.
1) Give definition of half-lifetime. How is that defined? 2) How does the half-lifetime for a zero-order reaction depend on rate constant? how does that depend on reactant initial concentration? 3) How does the half-lifetime for a first-order reaction depend on rate constant and initial reactant concentration? 4) How does the half-lifetime for second-order reaction depend on rate constant and initial reactant concentration? 5) Someone monitored a reaction by observing the time it took for the reactant concentration halve. It...
For a first-order reaction, the half-life is constant. It depends only on the rate constant k k and not on the reactant concentration. It is expressed as t1/2=0.693k t 1 / 2 = 0.693 k 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. A certain first-order reaction (A→products A → p r o d u c t s ) has a rate constant of 9.30×10−3...
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 t 1/2 = 0.693 k For a second-order reaction, the half-life depends on the rate constant and the concentration of the reactant and so is expressed as t 1/2 = 1 k[A ] 0 Part A A certain first-order reaction ( A→products ) has a rate constant of 9.90×10−3 s −1 at 45 ∘...
Determine the specific rate constant and half-life of an unknown compound if 17.0% of the compound decomposes in 1.50 x 10 minutes via a first-order process; A → B. The unit of time here is the minute The specific rate constant followed by its units is - The half-life with units of the compound is -
- Part A The radiation atom with half-life of 130 days. Then the mean lifetime equal to:
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 0.693 - 1/2K For a second-order reaction, the half-life depends on the rate constant and the concentration of the reactant and so is expressed as 1/2 k(Alo Part A A certain first-order reaction (A>products) has a rate constant of 9.60x10 s-1 at45 C. How many minutes does it take for the concentration of the...
Please show all work and write neatly.... will rate Correct Answer immediately !! 3) The lifetime of a pavt in a mechanical system s mathematically described as Rayleigh RV"xwith 0L=0 and b 400, in "weeks." a) what i's prebal.:);tyMmtmepart will not last week? What is tha pvo bailitynat he part's life time will ex ceed oneyea e Part 3) The lifetime of a pavt in a mechanical system s mathematically described as Rayleigh RV"xwith 0L=0 and b 400, in "weeks."...
Please show all work and write neatly.... will rate Correct Answer immediately !! 3) The lifetime of a pavt in a mechanical system s mathematically described as Rayleigh RV"xwith 0L=0 and b 400, in "weeks." a) what i's prebal.:);tyMmtmepart will not last week? What is tha pvo bailitynat he part's life time will ex ceed oneyea e Part 3) The lifetime of a pavt in a mechanical system s mathematically described as Rayleigh RV"xwith 0L=0 and b 400, in "weeks."...
The half-life of Thorium-231 is 25.5 hours. What is the rate constant of this decay?
55) The rate constant for a first-order reaction is 0.54 s-1. What is the half-life of this reaction if the initial concentration is 0.33 M? 56) The rate constant for a zero-order reaction is 0.54 s-1. What is the half-life of this reaction if the initial concentration is 0.33 M? 57) The reaction that occurs in a Breathalyzer, a device used to determine the alcohol level in a person's bloodstream, is given below. If the rate of appearance of Cr2(SO4)3...