NY Chemistry Regents Exam June 2019
Cobalt-60 is an artificial isotope of Co-59. The incomplete equation for the decay of cobalt-60, including beta and gamma emissions, is shown below.
62 Explain, in terms of both protons and neutrons, why Co-59 and Co-60 are isotopes of cobalt. 
Solution: Isotopes are atoms of the same element that have the same number of protons but a different number of neutrons.
Answer: Co-59 and Co-60 are isotopes of cobalt because they have the same number of protons but a different number of neutrons
63 Compare the penetrating power of the beta and gamma emissions. 
Solution and answer: Gamma has a higher penetrating power than beta.
64 Complete the nuclear equation, in your answer booklet, for the decay of cobalt-60 by writing a notation for the missing product. 
Solution: In order to find the missing product, we need to know that the sum of masses (top) on the left of the equation is equal to the the right. 60 = x+0+0, x=60
We do the same for the bottom number (atomic number). 27 = y+ -1+0
y=28. We find the element with atomic number of 28 on the Periodic Table and it is Ni
65 Based on Table N, determine the total time required for an 80.00-gram sample of cobalt-60 to decay until only 10.00 grams of the sample remain unchanged. 
Solution: Table N on the Reference Table provides half lives for different isotopes. The half like for cobalt-60 is 5.271 years. Half life represents the amount of time it take something to become a half of the original amount. We need to go from 80 g to 10 g. Let's see how many half lives it is.
80 -> 40 -> 20 -> 10
This is 3 half lives or 3*5.271 = 15.813 y
Answer: 15.813 y