An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 387 g (HINT: Assume all the carbon is ¹2C and determine the number of atoms, 12C has a molar mass of 12 g/mol) and careful measurements show that the remaining 14C has a current decay rate of 20 decays/s. Determine the age of the bone (and presumably the jewelry). The ratio of 14C to 12C when the animal died was 1.25x10-12 & the half-life of 14C is 5730 y. Additionally, 1 mol = 6.022x1023 particles, 1 y = 365.25 days, & 1 day = 24 h. age of bone =

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Chapter13: Nuclear Structure
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Part 1: Carbon dating
An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 387 g (HINT: Assume all the carbon is 12C
and determine the number of atoms, 12C has a molar mass of 12 g/mol) and careful measurements show that the remaining 14C has a
current decay rate of 20 decays/s. Determine the age of the bone (and presumably the jewelry). The ratio of 14C to 12C when the animal died
was 1.25x10-12 & the half-life of 14C is 5730 y. Additionally, 1 mol = 6.022×1023 particles, 1 y = 365.25 days, & 1 day = 24 h.
age of bone =
Part 2: Rubidium-Strontium dating
A geologist finds an old rock and wants to determine its age using rubidium-strontium dating. This is possible because 87Rb, which has a
half-life of 4.75×1010 y, undergoes - decay and becomes 87Sr. The geologist determines that the ratio of 87 Sr to 87Rb is 0.033. Assuming
there was no 87Sr in the rock when it was formed, determine the age of the rock.
age of rock =
Transcribed Image Text:Part 1: Carbon dating An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 387 g (HINT: Assume all the carbon is 12C and determine the number of atoms, 12C has a molar mass of 12 g/mol) and careful measurements show that the remaining 14C has a current decay rate of 20 decays/s. Determine the age of the bone (and presumably the jewelry). The ratio of 14C to 12C when the animal died was 1.25x10-12 & the half-life of 14C is 5730 y. Additionally, 1 mol = 6.022×1023 particles, 1 y = 365.25 days, & 1 day = 24 h. age of bone = Part 2: Rubidium-Strontium dating A geologist finds an old rock and wants to determine its age using rubidium-strontium dating. This is possible because 87Rb, which has a half-life of 4.75×1010 y, undergoes - decay and becomes 87Sr. The geologist determines that the ratio of 87 Sr to 87Rb is 0.033. Assuming there was no 87Sr in the rock when it was formed, determine the age of the rock. age of rock =
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