(6 points) 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.

The equation to calculate the mass of remaining isotope is

Explanation:

The equation used to calculate rate constant from given half life for first order kinetics:

where,

= half life of the reaction =

Putting values in above equation, we get:

Rate law expression for first order kinetics is given by the equation:

where,

k = rate constant =

t = time taken for decay process

= initial amount of the sample = 20 grams

[A] = amount left after decay process =  ? grams

Putting values in above equation, we get:

Hence, the equation to calculate the mass of remaining isotope is

The correct answer is - T (True).

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