the half life of an element is 5 days. if we have 10gram of the element initially. what is the mass of the element after 5days and 10days
after five days: 5 grams
after ten days: 2.5 grams.
To calculate the mass of the element after a certain number of half-lives, we need to use the formula:
Final mass = Initial mass * (1/2)^(number of half-lives)
Given that the half-life of the element is 5 days, we can calculate the number of half-lives for the given time periods:
Number of half-lives after 5 days = 5 days / 5 days per half-life = 1 half-life
Number of half-lives after 10 days = 10 days / 5 days per half-life = 2 half-lives
Now, let's calculate the mass of the element after 5 days:
Final mass after 5 days = 10 grams * (1/2)^(1 half-life)
Final mass after 5 days = 10 grams * (1/2)
Final mass after 5 days = 5 grams
The mass of the element after 5 days would be 5 grams.
Next, let's calculate the mass of the element after 10 days:
Final mass after 10 days = 10 grams * (1/2)^(2 half-lives)
Final mass after 10 days = 10 grams * (1/2)^2
Final mass after 10 days = 10 grams * (1/4)
Final mass after 10 days = 2.5 grams
The mass of the element after 10 days would be 2.5 grams.