yhar4pf
contestada

calculate the amount of I - 125 that remains after 178.2 days if we started with 300 grams.

Respuesta :

Answer:

38.3 g

Explanation:

The half life of a substance is the time taken for the substance to decay to about half of its amount.

Let us assume that I-125 have a half life of 60 days. It means that every 60 days, the amount of I - 125 would be halved.

The amount of I - 125 (A) that remains after t days is given by:

[tex]A=A_o*\frac{1}{2^n} \\[/tex]

Where Ao is the initial amount and n = t / half life

Given that:

Ao = 300 g, t = 178.2 days.

Therefore n = t / half life = 178.2 days / 60 days = 2.97

[tex]A=A_o*\frac{1}{2^n} \\A=300*\frac{1}{2^{2.97}}\\ A=38.3\ g[/tex]