Radioactive iodine, used to treat thyroid cancer, has a half-life of eight days. Find its decay constant, r.

Question

19-11-2021
Chemistry

contestada

Radioactive iodine, used to treat thyroid cancer, has a half-life of eight days. Find its decay constant, r.

Respuesta :

Otras preguntas

People who have both A and B antigens on the surface of their red blood cells have blank antibodies in their plasma. A) A B) B C) AB D) O

S=0∫² 2π ((x^(3))/(9))√(1+((x²)/(3))²)dx (Type exact answers, usingπ as needed.) The area of the surface is . (Type an exact answer, using π as needed.)

When President Trump speaks of imposing tariffs on foreign steel what does he mean? a) He wants to reduce tariffs to increase imports b) He wants to increase ta

Firefox has emerged as atop choice for millions of users worldwide due to it’s extensive , exemplary security measures, and cross-platform compatibility. This b

A man gets an invoice for $460 with terms (2)/(10),(1)/(15),(n)/(28). How much would he pay 23 days after the invoice date? He would pay $____.A) $414B) $437C)

Leaving a means owners can leave an ongoing business for future generations is called: a) Succession planning b) Exit strategy c) Inheritance clause d) Busines

According to critical theorists, race matters in IR. List TWO reasons why scholars must pay more attention to race.A) It impacts global economics and internatio

How much heat flows through that wall if the interior temperature is 70°F and the outside temperature is 34°F? a) 100 BTU (British Thermal Units) b) 200 BTU (Br

Cuál es la media de 9,5,0,5,6,1,2

Into what three groups will people be divided on the day of resurrection and final judgement? a. Believers, non-believers, and animals. b. Righteous, sinful, an

tutorAnne tutorAnne · Answer 1 · 2021-11-22T11:14:47+01:00

The decay constant of the radioactive iodine is r =0.086625

Radioactive decay is defined as the spontaneous reaction which occurs when an unstable atomic nuclei disintegrates form more stable nuclei.

decay constant shows how the rate of the size of the parent nuclei decreases with time due to radioactive decay.

Now,

Let N be the size of a population of radioactive atoms at a given time t, and dN, the amount by which the population decreases in time dt

So that the rate of change is given by

dN/dt = −λN, ((where λ is the decay constant).

By Integration, We have

N = N0e−λt, ( where N0 is the size of an initial population of radioactive atoms at time t = 0)

We can see that the population decays exponentially which is dependent on the decay constant.

Now the half life is defined as the time it will take for half of the original population of radioactive atoms to decay.

The relationship between the half-life, T1/2, and the decay constant, λ. is given by T1/2 = 0.693/λ.

Therefore, for a radioactive iodine with half life of 8days , The decay constant will be

λ = 0.693/ T1/2 or

r = 0.693/ T1/2

r = 0.693/ 8days

r =0.086625

Learn more:https://brainly.com/question/1770619