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Rate constant and half life

Posted: Tue Mar 05, 2019 2:48 pm
Why does a higher rate constant mean a shorter half life?

Re: Rate constant and half life

Posted: Tue Mar 05, 2019 2:53 pm
It goes through the reaction faster, so it will go down to half it's original concentration at a faster speed, making it take a shorter amount of time to do so

Re: Rate constant and half life

Posted: Tue Mar 05, 2019 3:08 pm
the half life is the time it take for a reactant to lessen its concentration by 1/2. the faster (or higher) the rate of reaction, the less time it will take for the reactants to reach 1/2 of their original concentration.

Re: Rate constant and half life

Posted: Tue Mar 05, 2019 3:47 pm
Because $t_{1/2}=(ln2)/k$ for first-order reactions.