Question

radioactive isotope radium-226 decays at a rate proportional to the amount present. If the decay rate is 43.32% per thousand years and the current mass 119.7 mg, what will the mass be 1.0 thousand years from now

a. 11.9.7e^-0.4332 = 77.6 mg
b. 478.8e^-0.4332 = 310.5 mg
c. 119.7e^-1.2996 = 32.6 mg
d. 119.7e^-1.7328 = 21.2 mg

Answer 1

The mass after 1 thousand years from now is 77.6mg , Option A is the right answer.

What is Radioactive Decay ?

It is the spontaneous decay of a nucleus of an unstable nucleus of an atom.

Applying the decay formula

P(t) = P₀ $\rm e^{-kt}$

where P(t) = the quantity of the substance after t years

P₀ = Initial quantity of the substance

k is the decay constant

It is given that

P₀ = 119.7 mg

k = 0.4332

P(t) = ?

when t = 1000 years

Therefore

$\rm P(t) = 119.7 * e^{- 0.4332 * 1000/1000}\\\\P(t) = 77.6 mg$

Therefore Option A is the right Answer , 77.6mg

To know more about Radioactive Decay

https://brainly.com/question/1770619

#SPJ1