Radioactive radium () has a half-life of 1599 years. What percent of a given amount will remain after years?

radio active radium(226)

Let P be the initial amount

n be the years
A the amount remaining after n years

A = P*(1/2)^(n/1599)
A/P = (1/2)^(n/1599)
so, the % remaining is
100*(1/2)^(n/1599)

To find the percentage of a given amount of radioactive radium that will remain after a certain number of years, you can use the formula:

Amount remaining = Initial amount * (1/2)^(number of years / half-life)

Let's substitute the given values into the formula:

Let's say the initial amount is 100 grams and the number of years is 500.

Amount remaining = 100 * (1/2)^(500 / 1599)

To calculate the percentage, divide the amount remaining by the initial amount and then multiply by 100:

Percentage remaining = (Amount remaining / Initial amount) * 100

Now, let's do the math:

Amount remaining = 100 * (1/2)^(500 / 1599) ≈ 70.729 grams

Percentage remaining = (70.729 / 100) * 100 ≈ 70.73%

Therefore, approximately 70.73% of the initial amount of radioactive radium will remain after 500 years.

To find the percent of radium that will remain after a certain number of years, we can use the following formula:

Percent remaining = (1 - (1/2)^n) x 100

Where "n" represents the number of half-lives that have passed.

In this case, the half-life of radium is 1599 years. We need to find the percent remaining after a certain number of years, which we will call "t."

First, let's calculate the number of half-lives, "n," that have passed after "t" years:

n = t / half-life

After finding "n," we can substitute it into the formula to get the percent remaining.

Therefore, to find the percent of radium that will remain after "t" years, follow these steps:

1. Calculate the number of half-lives, "n," using the formula:
n = t / half-life

2. Substitute the value of "n" into the percent remaining formula:
Percent remaining = (1 - (1/2)^n) x 100

By following these steps, you will be able to find the percent of radium that will remain after a certain number of years.