After 3 days a sample of radon-222 has decayed to 58% of its original amount.

(a) What is the half-life of radon-222? (Round your answer to two decimal places.)

b) How long will it take the sample to decay to 10% of its original amount? (Round your answer to two decimal places.)

Question

Mathematics

Riley Atkins

20 February, 08:19

After 3 days a sample of radon-222 has decayed to 58% of its original amount.

(a) What is the half-life of radon-222? (Round your answer to two decimal places.)

b) How long will it take the sample to decay to 10% of its original amount? (Round your answer to two decimal places.)

+4

Answers (1)

Know the Answer?

Trevon Williamson · Answer 1

The half-life of the radioactive substance can be determined through teh equation ln 2 = k (t 1/2) where k is equal to ln (1 / (1-0.58)) / 3. Hence t 1/2 is equal to 2.40 days. To decay to 10% of the original amount, ln (1/0.90) / (ln2) / 2.40, time is equal to 0.37 days.

After 3 days a sample of radon-222 has decayed to 58% of its original amount.(a) What is the half-life of radon-222? (Round your answer to two decimal places.)b) How long will it take the sample to decay to 10% of its original amount? (Round your answer to two decimal places.)

After 3 days a sample of radon-222 has decayed to 58% of its original amount.

(a) What is the half-life of radon-222? (Round your answer to two decimal places.)

b) How long will it take the sample to decay to 10% of its original amount? (Round your answer to two decimal places.)