How to Calculate Silicon Decay After 300 Years

What is the amount of Silicon left after 300 years?

If the initial amount of Si is 100 grams and the decay is for 300 years, what will be the remaining amount of Silicon?

Answer:

The amount of Silicon left after 300 years is 75 grams.

It is given that the initial amount of Si is 100 grams, and the decay is for 300 years with a half-life of Silicon being 710 years. To calculate the amount of Silicon left after 300 years, we can use the radioactive decay formula:

A = A₀ x 2^(-t/h)

Where: A is the resulting amount after t time, A₀ is the initial amount (t=0), t is the time of decay, and h is the half-life of the substance.

By substituting the values from the given data into the formula, we get:

A = 100 x 2^(-300/710)

A = 100 x 0.746112347

A ≈ 74.6112347 grams

Therefore, the number of grams of silicon left after 300 years is approximately 75 grams.