Question

The half-life of silicon-32 is 710 years. If 70 grams is present now, how much will be present in 200 years? (Round your answer to three decimal places.)

Answer 1

Answer:

$57.7$ grams

Explanation:

Given -

Half life of the silicon-32 $= 710$ years

Half life means the time period required by a radioactive element to reduce its mass by half.

Radioactive decay formula is

$A = A_o*2^{\frac{-t}{h} }$

Where

A represents the amount of radioactive element after time t years

$A_0$ represents the initial amount of radioactive element

$t =$ time of decay

$h =$ half-life of the substance

Substituting the given values in above equation, we get -

$A = 70 * 2^{\frac{200}{710}$

$A = 57.7$ grams