A rare isotope of a nuclear material is very unstable, decaying at a rate of 13% each second. Find how much isotope remains 11 seconds after 8 grams of the isotope is created.

Question

A rare isotope of a nuclear material is very unstable, decaying at a rate of 13% each second. Find how much isotope remains 11 seconds after 8 grams of the isotope is created.

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Part 1
The mass of the remaining isotope is approximately

enter your response here g. (Round to the nearest tenth as needed.)

Answer 1

To find the amount of isotope that remains 11 seconds after 8 grams were created, we can use the formula for exponential decay:

amount remaining = initial amount * (1 - decay rate)^time

In this case, the initial amount is 8 grams, the decay rate is 13% (or 0.13), and the time is 11 seconds. Plugging these values into the formula, we get:

amount remaining = 8g * (1 - 0.13)^11

Calculating this expression, the mass of the remaining isotope is approximately 3.7734 grams. Rounding to the nearest tenth, the mass is approximately 3.8 grams.

A rare isotope of a nuclear material is very​ unstable, decaying at a rate of 13​% each second. Find how much isotope remains 11 seconds after 8 grams of the isotope is created.

To find the amount of isotope that remains 11 seconds after 8 grams were created, we can use the formula for exponential decay:

A rare isotope of a nuclear material is very unstable, decaying at a rate of 13% each second. Find how much isotope remains 11 seconds after 8 grams of the isotope is created.