Half Life Examples Math

How long would it take for 10 oz of it to be reduced to 2 oz.

Half life examples math. How long would it take for 900 lbs of it to be reduced to only 10 lbs. The half life of hydra s blood is 71 days. The half life of a certain bizarre glowing substance is 50 weeks. It was originally used to describe the decay of radioactive elements like uranium or plutonium but it can be used for any substance which undergoes decay along a set or exponential rate.

Start with the half life formula. λ ln 2 24 100 λ 693147 24 100. So in our example after the second life is over that s 10 years since each half life is 5 years there will be frac 1 2 of 50 of the substance left which of course is 25. That s what half life means.

After two half lives 1 2 1 2 1 4 of sample two half lives have passed. The half life h 3. The initial amount d 0 3. The amount left after t hours is d 0 6.

The mathematical representation of half life is given by half life time napierian logarithm of 2 disintegration constant. Literally half of the substance is gone every five years the half life of this particular substance. The half life of a blue radioactive substance located somewhere deep inside a lake is 7 weeks. Calculate how many half lives have passed during the decay of the 100 0 g sample.

Fraction of sample remaining final mass of sample initial mass of sample g g 25 0 100 0 1 4. Use the multiplication property of equality to multiply both sides of the equation by 1 3. The half life of a substance undergoing decay is the time it takes for the amount of the substance to decrease by half. Plutonium 239 has a half life of 24 100 years.

Half life is the time required for the amount of something to fall to half its initial value. Half life total time of decay number of half lives 3. Fill the values into the formula.