Question

Titanium-44 is a radioactive isotope such that every 63 years, its mass decreases by half. For a sample of titanium-44 with an initial mass of 100 grams, write a function that will give the mass of the sample remaining after any amount of time. Define all variables. What is the mass of the sample after 40 years

Answer 1

Answer:

Function= T=K/M

Mass of Sample after 40 yrs = 31.746032 grams

Step-by-step explanation:

As time increases, the mass decreases, hence it's inverse proportion

T ∝ 1/M

Function = T = K/M

Using direct proportion to evaluate mass after 40 yrs

when T= 63yrs, Mass = 0.5M

When T = 40 yrs Mass = X

X = 0.3174603M

Hence mass after 40 years = 0.3174603(100) = 31.746032 grams