1The Dead Sea Scrolls are documents that contain some of the oldest known texts

Question

1The Dead Sea Scrolls are documents that contain some of the oldest known texts of parts of the Hebrew bible. They were discovered between 1947 and 1956 in several caves near the ruins of the ancient settlement of Khirbet Qumran on the northwest shore of the Dead Sea. Archeologists determine that a sample taken from the scrolls contains 79.10% of the carbon-14 that it originally contained. (The half-life of carbon-14 is 5730 years.) Estimate the age of the Dead Sea Scrolls. (Round the growth factor to eight decimal numbers. Round your answer to the nearest year.)

2A nuclear power plant produces radioactive plutonium-239, which has a half-life of 24,110 years. Because of its long half-life, plutonium-239 must be disposed of safely. How long does it take 100 grams of radioactive waste from the nuclear power plant to decay to 10 grams? (Round the growth factor to eight decimal numbers. Round your answer to the nearest year.)
i need formula

Explanation / Answer

1)
k = 0.693/half life
= 0.693/ (5730 years)
= 1.21*10^-4 years-1

[R]/[Ro] = 79.10/100 = 0.791

Decay is always 1st order

use:
[R]/Ro] = e^(-k*t)
0.792=e^(-1.21*10^-4 *t)
1.21*10^-4 * t = 0.233
t = 1927 years
Answer : 1927 years

i am allowed to answer only 1 question at a time

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.