Question

A rare isotope of a nuclear material is very unstable, decaying at a rate of 13% each second. Find how much isotope remains 10 seconds after 10 grams of the isotope is created.

Answer 1

Answer: 10 grams after creating 10 grams of the isotope, 8.7 grams of it will be remained.

Explanation: Number of rounds= total time/round duration

= 10 sec/10 sec

= 1 round

Now calculate how much isotope remains after 1 round.

Remaining amount= initial amount * (decay rate) ^ (no. of round)

= 10 grams * (0.87)^1

= 8.7 grams.