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 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)
h= half life a0 = original amount a(t) = amount present after t years t = time What information do you need? TH 100 - D100 Use equation : acca un Page 4 of 5 4. Suppose we have Xo amount of a certain radioactive substance. It has been observed that this substance losses 5% of its mass every 10 years. @ How much of the initial mass Xo remains after 10 years? What about 20 years? (b) Use the...
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 36 grams. Write an exponential equation f(t) representing this situation. (Let f be the amount of radioactive substance in grams and t be the time in minutes.) f(t) 250e 0.0087t x To the nearest minute, what is the half-life of this substance? 89 min Use the model for continuous exponential decay, y = Ao e-kt, where y is the amount of radioactive...
How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 200e^-0.131t, where t is the time in years? Roud to the nearest hundredth year.
A certain radioactive substance decays at a rate proportional to its remaining mass M. a. Express this rate of decay as a differential equation. b. When a living organism dies it ceases to replace the carbon isotope C-14, and 48. the C-14 that is present decays with a half-ife of about 5730 years. If archeologists discover a fossilized bone that has 30% of the C-14 of a live bone, approximately how old is it? A certain radioactive substance decays at...
Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 180e -0.045 where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 50 years? Your answer is Round answers to 1 decimal place.
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...
Modeling Exponential Growth and Decay A scientist begins with 240 grams of a radioactive substance. After 250 minutes, the sample has decayed to 34 grams. a. Rounding to four decimal places, write an exponential equation, R(t) = Aekt, representing this situation, using the variablet for minutes. R(O) = b. To the nearest minute, what is the half-life of this substance? The half-life is approximately minutes.
How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 250e - 223, where t is the time in years? Round your answer to the nearest hundredth year. A) 3.11 yr B) 55.75 yr 24.76 yr D) 27.87 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