The number 14 of the process carbon 14 dating denotes
The half-life of a first-order reaction under a given set of reaction conditions is a constant.
If two reactions have the same order, the faster reaction will have a shorter half-life, and the slower reaction will have a longer half-life.Then divide by the initial concentration, multiplying the fraction by 100 to obtain the percent completion.Solution: A We can calculate the half-life of the reaction using Equation 14.5.3: \( t_=\dfrac=\dfrac=4.6 \times 10^\;min \) Thus it takes almost 8 h for half of the cisplatin to hydrolyze.The half-life of a first-order reaction is (to indicate a half-life) into Equation 14.5.1 gives \( ln \dfrac = ln 2=kt_ \tag \) The natural logarithm of 2 (to three decimal places) is 0.693.
Substituting this value into the equation, we obtain the expression for the half-life of a first-order reaction: The Half-Life of a First-Order Reaction This plot shows the concentration of the reactant in a first-order reaction as a function of time and identifies a series of half-lives, intervals in which the reactant concentration decreases by a factor of 2.
Because nuclear decay reactions follow first-order kinetics and have a rate constant that is independent of temperature and the chemical or physical environment, we can perform similar calculations using the half-lives of isotopes to estimate the ages of geological and archaeological artifacts.