Answer:
When there remains one-quarter of the sample, the age of the sample is 10940 years
Step-by-step explanation:
Step 1: Data given
The half- life time is the time required for a quantity to reduce to half of its initial value.
The half-life of C-14 is 5470 years.
This means after 5470 years there remains half of the C-14 sample.
When there will pass another half-life cyclus, half of the sample will remain.
Half of 50 % = 25% = one- quarter
This means 2 half-lives should have passed to remain a quarter of the sample.
Step 2: Calculate it's age
t/(t/1/2) = 2
⇒ with t = the age (or time) of the sample
⇒ with t(1/2) = the half-life time of the sample = 5470 years
⇒ with 2 = the number of half- lives passed to remain one quarter of sample
t/5470 = 2
t = 2*5470 = 10940 years
When there remains one-quarter of the sample, the age of the sample is 10940 years