Chegg ) Alice owns 20 grams of a radioactive isotope that has a half-life of ln(4) years. (a) Find an equation for the mass m(t) of the remaining isotope Alice owns after t years.

Explanation:

Given:

Initial mass of isotope (m₀) = 20 g

Half life of the isotope = (ln 4) years

The general form for the radioactive decay of a radioactive isotope is given as:

Where,

So, the equation is:

At half-life, the mass is reduced to half of the initial value.

So, at . Plug in these values and solve for 'k'. This gives,

Hence, the equation for the mass remaining is given as:

the entire statement is true and correct.  

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