Complete the table for the radioactive isotope. (round your answers to two decimal places.)

isotope 226ra
half-life = 1599
initial amount = 250 g

find the decay after 1000 years
fine the amount after 2,000 years

The amount of Ra-226 isotope after 1000 years is 162.14 grams and after 2000 years are 105.16 grams

Explanation:

The equation used to calculate half life for first order kinetics:

where,

k = rate constant of the reaction = ?

= half life of the reaction = 1599 years

Putting values in above equation, we get:

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

where,

N = amount left after time 't'

= initial amount = 250 grams

t = time taken =

k = rate constant =

Putting values in above equation, we get:

Putting values in above equation, we get:

Hence, the amount of Ra-226 isotope after 1000 years is 162.14 grams and after 2000 years are 105.16 grams

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