# The half life of Carbon 14 is 5500 years. How many years will pass for a 30 gram sample to reach 3.75 grams

2 months ago

## Solution 1

Guest #4479
2 months ago
Half life is the time taken by a radioactive isotope to decay by half of its original mass. In this case the half life of carbon-14 is 5500 years.
The original mass is 30 g and the new mass is 3.75 g.
New mass = Original mass × (1/2)^n, where n is the number of half lives;
3.75 = 30 × (1/2)^n
1/8 = (1/2)^n
n = 3
Thus, the time taken will be; 3 × 5500 = 16500 years.

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