lt 23) In the formula A)Aekt, A is the amount of radioactive material remaining from an...
23) In the formula A(O)- Agekt, A is the amount of radioactive material remaining from an initial am a given time t, and k is to e decays at a rate of 0.3% annually. Determine hehalf ife of this isotope, to the nearest year is a negative constant determined by the nature of the material. A certain radioactive A) 231 yr B) 100 yr C) 167 y D) 2yr 24) The half-life of an element is 5.0 x і012 yr....
An initial amount of 100 g of the radioactive isotope thorium-234 decays according to Q(t) = 100e -0.02828t where t is in years. How long before half of the initial amount has disintegrated? This time is called the half-life of this isotope. (Round your answer to one decimal place.) yr
A radioactive material decays with a rate proportional to the amount present at any instant. a) Write and solve the differential equation. b) Use the solution of the differential equation to solve the following application problem. Carbon 14 (14C) is a radioactive isotope of the carbon element and has an approximate half-life of 5600 years. The fossil bones of an animal were analyzed and found to contain one-tenth of the radioactive 14C. Determine the approximate age of the bones found.
Radioactive Decay - Half-life and Activity 1 Radioactive decay - Half-life Time 0 1000 21 31 750 N 1.000.000 500,000 250,000 125,000 62,500 31.250 15.625 7813 3.506 1.953 977 51 6 500 7 BI . 101 250 125 0 tie 21.234.41516171819, 1012 Time in multiples of A radioactive sample's half-life is 30.2 years. 1 year = 365 days, 1 day = 24 hours, 1 hour - 60 minutes, 1 minute = 60 seconds (a) Find its decay constant in year...
A radioactive substance decays at a rate proportional to the amount present at ime t (in hours). Initially, Ao grams of the substance was present, and after 10 hours, the mount has decreased by 20% How long will it take the substance to decay to 40? hat is the half life of this substance? Hint: the half-life is the time required for half of the initial substance to decay)
Please show your steps clearly. . The radioactive isotope Uranium-234 decays to Thoriu-230 with a half-life of T. Thorium 230 itself is also radioactive and decays to Radium-226 with a half-life of γ and γ > τ Although Radium-226 is also radioactive its half-life is much longer than T and γ and here we assume that it is relative stable. Consider the scenario when we start with a certain amount of pure Uranium-234, because of this chain of decays, we...
Radioactive substance decays so that after t years, the amount remaining, expressed as a percent of the original amount, is A(t)=100(1.6)^(-t). a) Determine the function A’, which represent the rate of decay of the substance. b) what is the half-life for this substance? c) what is the rate of decay when half the substance has decayed?
Solve the following word problems. 8. Professor Plum is concerned about his retirement He found a bank account that was paying 3.75% interest compounded annually. a. If he put $50,000 in the account, how long will it take for his account to be worth $100,000? b. If the same amount was compounding continuously, how much quicker would he get to $100,000? 9. Radioactive Cantstopdancium decays according to the following formula: y = aekt. a. The half-life of Cantstopdancium is 15...
Strontium 90 is a radioactive material that decays according to the function A()-A 00244t, where Ao is the initial amount time t (n years). Assume that a scientist has a sample of 500 grams of strontium 90 (a) What is the decay rate of strontium 90? (b) How much strontium 90 is left after 10 years? (c) When will only 400 grams of strontium 90 be left? (d) What is the half-life of strontium 902 (a) What is the decay...
please help with b-d! *10-19-1 A radioactive sample's half-life is 30.2 years 1 year - 365 days, 1 day - 24 hours, 1 hour 60 minutes, 1 minute - 60 seconds (a) Find its decay constant in year 1. Keep 4 decimal places. 0.6229 Correct (100,0%) Submit Find its decay constant in sl. Write the result in terms of 10 10,9 Keep 4 decimal places. 7.2764 Correct (100.0 Submit Case 1: The Initial sample is 3.30 kg. (b) What is...