Suppose that the half-life of a substance is 250 yrs. .If there were initially 100 g of substance .How much will remain after 500 years??with solution please
500 years is 2 half-lives.
So, (1/2)^2 of the original amount will remain
Awesome
How mych will remain after 500 years
To determine how much of the substance will remain after 500 years, we can use the formula for exponential decay:
N(t) = N₀ * (1/2)^(t/h)
Where:
N(t) is the amount remaining after time t
N₀ is the initial amount
t is the elapsed time
h is the half-life of the substance
Given that the half-life of the substance is 250 years and the initial amount is 100 g, we can substitute these values into the formula:
N(500) = 100 * (1/2)^(500/250)
Now we can calculate the answer by following these steps:
1. Divide the elapsed time (500) by the half-life (250): 500 / 250 = 2.
2. Raise 1/2 to the power of the result from step 1: (1/2)^2 = 1/4.
3. Multiply the initial amount by the result from step 2: 100 * 1/4 = 25.
Therefore, after 500 years, 25 grams of the substance will remain.