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Question 15 5 pts Strontium 90 decays at a constant rate of 2.44% per year. Therefore,...
Strontium 90 is a radioactive material that decays according to the function A()-A 00244t, where Ao...
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...
Nexl Question ntum 90 is a radoacive material that decays acconding to the function A2, where Ap ...
Nexl Question ntum 90 is a radoacive material that decays acconding to the function A2, where Ap is the intial amount present and A is the amount presant e Sme t (ih years) Asume thar a scentst his a ntum 90 What is the decay rate of stronsum 907 How much stronium 90 is left after 10 years? When will only 200 grams of stronbum 90 be left? grams of What is the half-ife of strontium 907 What is the...
A radioactive substance decays at a rate proportional to the amount present at ime t (in...
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)
Solve the problem. 7) If a population has a growth rate of 6% per year, how...
Solve the problem. 7) If a population has a growth rate of 6% per year, how long to the nearest tenth of a year will it take the population to double? 8) Let P(t) be the quantity of strontium-90 remaining after t years. Suppose the half-life of strontium-90 is 28 years. Which of the following equations expresses the half-life information?
Problem 1. (10 pts) The half life of a substance is 5 years. There are 30...
Problem 1. (10 pts) The half life of a substance is 5 years. There are 30 grams of the substance remaining after 9 years. (a) Write an equation of the form P(t) = Poekt for the amount of the substance in grams remaining after t years. (6) Give the continuous decay rate as a percentage and the percent rate of change as a percentage. Clearly label each.
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 =...
Review Constants Periodic a substance active times that the countable and will therefore decay by my...
Review Constants Periodic a substance active times that the countable and will therefore decay by my name of processes the decay Del decay of the day of radioactive comm o der Therefore theme of daycan t orbed by the megrated w omen e n we used to describe the food chemical con In where the mo s t coloraty t he com by man of these quo ng 0. the world when contre long for fraction remaining - - (0.5)"...
Please answer the following questions using exponential and logarithmic models. 4) A wooden artif...
Please answer the following questions using exponential and logarithmic models. 4) A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in living trees. To the nearest year, about how many years old is the artifact? (The half-life of Carbon-14 is 5730 years.) In years 5) A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining...
y (15 pts) Un a frosty Halloween eve, the temperature starts dropping faster and faster. As...
y (15 pts) Un a frosty Halloween eve, the temperature starts dropping faster and faster. As a result, the trick-or-treaters leave the streets at an exponential rate. The decay constant modeling this trick-or-treat exodus is -3. Time is in minutes, and there are 1,000 trick-or-treaters to begin with. (You do not need to simplify your answers!) a) What is the general equation for C(t), the number of children on the street after t minutes? (That is, c(t) = ?) b)...
Review | Constants Periodic Table In the parts that follow, use the following abbreviations for time...
Review | Constants Periodic Table In the parts that follow, use the following abbreviations for time If a substance is radioactive, this means that the nucleus is unstable and will therefore decay by any number of processes (alpha decay, beta decay, etc.). The decay of radioactive elements follows first-order kinetics. Therefore, the rate of decay can be described by the same integrated rate equations and half-life equations that are used to describe the rate of first-order chemical reactions: Measure of...
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...
Nexl Question ntum 90 is a radoacive material that decays acconding to the function A2, where Ap is the intial amount present and A is the amount presant e Sme t (ih years) Asume thar a scentst his a ntum 90 What is the decay rate of stronsum 907 How much stronium 90 is left after 10 years? When will only 200 grams of stronbum 90 be left? grams of What is the half-ife of strontium 907 What is the...
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)
Solve the problem. 7) If a population has a growth rate of 6% per year, how long to the nearest tenth of a year will it take the population to double? 8) Let P(t) be the quantity of strontium-90 remaining after t years. Suppose the half-life of strontium-90 is 28 years. Which of the following equations expresses the half-life information?
Problem 1. (10 pts) The half life of a substance is 5 years. There are 30 grams of the substance remaining after 9 years. (a) Write an equation of the form P(t) = Poekt for the amount of the substance in grams remaining after t years. (6) Give the continuous decay rate as a percentage and the percent rate of change as a percentage. Clearly label each.
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 =...
Review Constants Periodic a substance active times that the countable and will therefore decay by my name of processes the decay Del decay of the day of radioactive comm o der Therefore theme of daycan t orbed by the megrated w omen e n we used to describe the food chemical con In where the mo s t coloraty t he com by man of these quo ng 0. the world when contre long for fraction remaining - - (0.5)"...
y (15 pts) Un a frosty Halloween eve, the temperature starts dropping faster and faster. As a result, the trick-or-treaters leave the streets at an exponential rate. The decay constant modeling this trick-or-treat exodus is -3. Time is in minutes, and there are 1,000 trick-or-treaters to begin with. (You do not need to simplify your answers!) a) What is the general equation for C(t), the number of children on the street after t minutes? (That is, c(t) = ?) b)...
Review | Constants Periodic Table In the parts that follow, use the following abbreviations for time If a substance is radioactive, this means that the nucleus is unstable and will therefore decay by any number of processes (alpha decay, beta decay, etc.). The decay of radioactive elements follows first-order kinetics. Therefore, the rate of decay can be described by the same integrated rate equations and half-life equations that are used to describe the rate of first-order chemical reactions: Measure of...
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