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A radioactive substance decays at a rate proportional to the amount present at ime t (in...
(X) A radioactive material decays at a rate proportional to the population present at time t....
(X) A radioactive material decays at a rate proportional to the population present at time t. After 6 hours, the material has decreased by 87.5% (remained 12.5%). What is the half-life of this material? 24 a) d) 2 c) b) 4
QUESTION 2 (a) A radioactive isotope, Pb-209, decays at a rate proportional to amount present at...
QUESTION 2 (a) A radioactive isotope, Pb-209, decays at a rate proportional to amount present at time t and has a half-life of 3.3 hours. If 1 gram of the isotope is present initially, how long will it take for 95% of the lead to decay?| (8 marks) (b) Form the differential equation associated with the given primitive y = Ae*' -1, by eliminating the arbitrary constants A. (4 marks) (C) Write the differential equation (1+ y2)dy + x =...
Part III continued 6. The rate of decay of a radioactive substance is proportional to the amount present. Today we...
Part III continued 6. The rate of decay of a radioactive substance is proportional to the amount present. Today we have 10 grams of a radioactive substance. Given that 1/3 of the substance decays every 5 years, how much will be left 17 years from today? 7. Evaluate the following integrals: a) 5-4x-x2 dx, x2-x3
Part III continued 6. The rate of decay of a radioactive substance is proportional to the amount present. Today we have 10 grams of a...
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)
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?
A radioactive material decays with a rate proportional to the amount present at any instant. a)...
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.
An unknown radioactive substance has a half-life of 3.20 hours. If 39.6 g of the substance...
An unknown radioactive substance has a half-life of 3.20 hours. If 39.6 g of the substance is currently present, what mass Ao was present 8.00 hours ago? Express your answer with the appropriate units. View Available Hint(s) ? OP HÅR A9 = Value O 2 Units Submit Part C Americium-241 is used in some smoke detectors. It is an alpha emitter with a half-life of 432 years. How long will it take in years for 34.0 % of an Am-241...
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 replac...
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...
4. A radioactive substance decays from 25.0 g to 12.0 g in 4 hours. Determine the...
4. A radioactive substance decays from 25.0 g to 12.0 g in 4 hours. Determine the half life of the substance. How long will it take to become 3.0 g staring from its original mass of 25 grams?
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has...
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...
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...
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...
(X) A radioactive material decays at a rate proportional to the population present at time t. After 6 hours, the material has decreased by 87.5% (remained 12.5%). What is the half-life of this material? 24 a) d) 2 c) b) 4
QUESTION 2 (a) A radioactive isotope, Pb-209, decays at a rate proportional to amount present at time t and has a half-life of 3.3 hours. If 1 gram of the isotope is present initially, how long will it take for 95% of the lead to decay?| (8 marks) (b) Form the differential equation associated with the given primitive y = Ae*' -1, by eliminating the arbitrary constants A. (4 marks) (C) Write the differential equation (1+ y2)dy + x =...
Part III continued 6. The rate of decay of a radioactive substance is proportional to the amount present. Today we have 10 grams of a radioactive substance. Given that 1/3 of the substance decays every 5 years, how much will be left 17 years from today? 7. Evaluate the following integrals: a) 5-4x-x2 dx, x2-x3
Part III continued 6. The rate of decay of a radioactive substance is proportional to the amount present. Today we have 10 grams of a...
An unknown radioactive substance has a half-life of 3.20 hours. If 39.6 g of the substance is currently present, what mass Ao was present 8.00 hours ago? Express your answer with the appropriate units. View Available Hint(s) ? OP HÅR A9 = Value O 2 Units Submit Part C Americium-241 is used in some smoke detectors. It is an alpha emitter with a half-life of 432 years. How long will it take in years for 34.0 % of an Am-241...
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...
4. A radioactive substance decays from 25.0 g to 12.0 g in 4 hours. Determine the half life of the substance. How long will it take to become 3.0 g staring from its original mass of 25 grams?
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...
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...
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