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Name: _______________________ Activity 14C 1 Activity 14C: T-Charts, Decay Curves, and Half-Lives Helpful tips to calculate a half-life: ● Draw or insert a T-chart. ● In the T-chart, label the left side with time units (number of half-lives, years, ka, Ma, Ga, etc.) ● Label right side with mass units (percentage, atoms, gram, kilograms, etc.) ● Begin by ALWAYS writing zero in the first spot of the time column. ● In the mass column, begin with the given mass if provided. Recall that this is 100% of the original parent isotope. o If the mass is the starting mass, keep dividing the number in the mass column by 2 for each half-life in the left column. o If you are given a final mass, record this at the very bottom of the mass column. ▪ If the mass given is the final mass, multiply that mass by 2 until the initial time (Time 0) is reached. ▪ The final mass amount at the bottom of the mass column equals how much mass is left after radioactive decay has occurred. ● In the time column, add one half-life at a time until you reach the total time given in problem. The number of half-lives elapsed is equal to the number of times you added a half-life in the time column. 1. Calculate the amount of parent isotope remaining for all the given half-lives in this T- chart. Number of Half-lives Amount of Parent Isotope Remaining (%) 0 100 1 2 3 4 5 6 7 8 Table 14.4: T-chart to use in question 1-3 in Activity 13C: T-Charts, Decay Curves and Half-lives. (CC-BY 4.0; Chloe Branciforte, own work)

Name: _______________________ Activity 14C 2 2. Plot your findings from the T-chart on the graph below. 3. Draw the decay curve by connecting your plotted data points. Figure 14.25: Graph to use in question 2-7 in Activity 13C. (CC-BY 4.0; Chloe Branciforte, own work) Using the above graph ( Figure 14.25 ), answer the following questions. 4. How much of the parent isotope would be remaining after 7 half-lives have passed? a. 6.25% b. 1.56% c. 0.78% d. 0.39%

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