Element Y has a half life of 50days. How much of a 100mg of its sample will remain after 5 month?
How many days in a month? Use 30?
50/30 = 1.67 months in 50 days
k = 0.693/t1/2 and substitute k into the below equation. I used 1.67 months.
ln(No/N) = kt.
No = 100 mg
N = ? solve for this
k from above.
t = 5 months
To determine how much of a sample of Element Y will remain after a certain time, you need to use the concept of radioactive decay and the equation for exponential decay.
First, let's convert 5 months to days since we know the half-life of Element Y is given in days:
5 months = 5 * 30 days = 150 days.
Next, we can use the equation for radioactive decay:
Amount remaining = Initial amount * (1/2)^(time / half-life)
Here, the initial amount is 100 mg, the time is 150 days, and the half-life is 50 days for Element Y.
Plugging these values into the equation:
Amount remaining = 100 mg * (1/2)^(150 / 50)
Now, we can simplify and calculate the remaining amount:
Amount remaining = 100 mg * (1/2)^3
Using the fact that (1/2)^3 = 1/8, we can continue the calculation:
Amount remaining = 100 mg * 1/8 = 12.5 mg
Therefore, after 5 months, 12.5 mg of the original 100 mg sample of Element Y will remain.