# I need help with 1, 2, and 3. 1. In this activity, we will be exploring...

###### Question:   I need help with 1, 2, and 3.

1. In this activity, we will be exploring the relationship between the amount of a radioactive substance and the rate of decay. There are many forms of radioactive decay. For this activity we will be using beta (B) decay, when a neutron decays into an electron and proton, and gamma (7) decay, when an atom emits energy through a gamma photon. B- Decay y Decay Unstable High Energy+ Atom Neutron Low Energy+ Cesium-137 decays into an unstable Barium-137 atom through beta (8) decay. In the following videos, we collected a sample of the unstable Barium-137 and measured the energy emitted (y) as it goes from the excited state to a stable state. The image below demonstrates the process: B- Decay Cs 137 Ba 137 (Excited State) Bq137 (Stable) When a gamma (7) ray hits the detector in a geiger counter, it produces a count. Our Geiger Counter outputs both the total counts and the number of counts registered every 13 seconds.
2. Pick a concentration of Barium-137 in the video player above. Under the "tools" icon in the upper left of the video, there is a stopwatch. Zero the stopwatch when the data first appears and fill in the table below. Time Rate of Decay Total Decay s variable counts/13 variable counts variable 1 27 1646 1646 2 51 1544 3190 3 93 1213 8476 157 993 13697 5 198 774 16120 6 262 557 19430 7 300 481 21008 401 310 23742 511 221 26008 10 633 133 27364 11 798 61 28482
1. Remember the first-order rate law equation referenced in Part 1: A = Agekt Where At is the amount left at time t, Ao is the starting amount, and k is a rate constant that varies with every reaction. Given that the only requirement to solve for half life is that At is one half of All, if we set A, as being 100%, or 1, what is the value of At ? 1.5 1 0.5 Score: 0/2 Submit Answer 1 / 1 submissions remaining 2. Using your new values for Ao and At, solve the equation for t. What is your new equation? 0,5 =tI/2 In(6.5) = t1/2 t1/2 In(k) In(0.5) In(0.5) 1/2 Score: 0/4 Submit Answer 2/2 submissions remaining 3. Great! That's the general half-life equation. If you know k, you can solve for half life and vice-versa. What is the value of k for this reaction? 157 110.9 0.004 Score: 0/2 Submit Answer 2/2 submissions remaining

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