AP Calculus

posted by .

An Initial amount of 100 grams of Thorium-234 decays according to the model: dP/dt=-0.02828P (where t is measured in years).

a) Find the equation for the amount of Thorium left after t years.
b) Determine the half-life of this radioactive isotope
c) How long will it take for the sample to reduce to 25 grams?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    The mass m(t) remaining after t days from a 70 g sample of thorium-234 is given by the equation shown below. m(t) = 70e-0.0274t Find the half-life of thorium-234. (Round your answer to the nearest tenth.)
  2. Math/Radioactive Dating

    How would I calculate the age of a rock only given the amount of each in grams and half-life?
  3. calculus

    The rate at which an amount of a radioactive substance decays is modeled by the differential equation dA/dt = kA, where A is the mass in grams, t is the time in years, and k is a constant. Answer the following. a) If a 100-gram sample …
  4. Chemistry

    Uranium-238 has half life of 4.51 * 10^9 years Uranium-234 has half life of 2.48 * 10^5 years Thorium-230 has half life of 8.0 * 10^4 years Radium-226 has half life of 1.62 * 10^3 years Lead-210 has half life of 20.4 years. The rate …
  5. A.P. Chemistry

    Thorium-232 undergoes alpha decay and has a half-life of 1.4 * 10^10 years. How long will it take for a 1.00mg sample of thorium-232 to be reduced to 0.5mg?
  6. Calculus

    The radioactive element polonium decays according to the law given below where Q0 is the initial amount and the time t is measured in days. Q(t) = Q0 ยท 2-(t/140) If the amount of polonium left after 700 days is 45 mg, what was the …
  7. Math

    A radioactive substance decays according to the formula Q(t) = Q0e−kt where Q(t) denotes the amount of the substance present at time t (measured in years), Q0 denotes the amount of the substance present initially, and k (a positive …
  8. algebra

    A radioactive substance decays according to the formula A=A0e^kt where A0 is the initial amount of substance (in grams) A is the amount of substance(in grams) after t years k is a constant The half-life of the substance is 10 years.If …
  9. Math

    Suppose that a certain material has a half life of 25 years, and there are A(t)=10(1/2)^t/25 grams remaining after t years. find: i) initial amount i) Amount after 80 years Solutions i) A(0)=10(1/2)^(0/25) =10(1/2)^0 =10(1) =10 ii)A(80)=10(1/2)^(80/25) …
  10. math: pre-calculus

    You have 5 grams of carbon-14; whose half-life is 5730 years. a)Write the rule of the function that gives the amount of carbon-14 remaining after x years. b)How much carbon-14 will be left after 4,000 years?

More Similar Questions