Iodine-131 is a beta emitter used as a tracer in radio immunoassays in biological systems. It follows first order kinetics. The half-life if iodine-131 is 8.04 days. If you start with 8.0 grams of iodine-131, how many grams would remain at 39 days

The amount of Iodine-131 remain after 39 days is 0.278 grams

Explanation:

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

where,

= half life of the reaction = 8.04 days

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 = 39 days

= initial amount of the sample = 8.0 grams

[A] = amount left after decay process = ?

Putting values in above equation, we get:

Hence, the amount of Iodine-131 remain after 39 days is 0.278 grams

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