0.0219t where t A radioactive element decays according to the function y = yo is the time in years. If an initial sample contains y, = 7 grams of the element, how many grams will be present after 40 years? What is the half-life of this element?

Q: At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 270 minutes,…

A: We will solve the following.

Q: A radioactive material is known to decay at the rate proportional to the amount present. If…

A: Given A radioactive material is known to decay at the rate proportional to the amount present.…

Q: You have 500-grams of an unknown radioactive substance that has been determined to decay according…

A: D(t) = 500e-0.001904.tLet substance take x years to become half of the initial ammount.After x years…

Q: A study of a certain Subanen community suggests thatt years from now, the average level of carbon…

A: Given query is to find the rate of change of carbon monoxide after 2 years.

Q: what is the​ half-life of a radioactive​ element, which decays according to the function…

A:

Q: A certain hermit wants to design a reactor using radioactive material A that will be converted into…

A:

Q: A sample of 800 g of an isotope decays to another isotope according to the function A(t)= 800 e…

A:

Q: A sample of tritium-3 decayed to 94.5% of its originalamount after a year.(a) What is the half-life…

A: A sample of tritium-3 decayed to 94.5% of its original amount after a year. We have to find (a) What…

Q: of a radiooctive substonce decayed to 93.5% of its original sample amount after oyear What is the…

A: we need find half life substance k=? and t=?

Q: Radioactive cesium-137 has a half-life of 30.17 years. How much of an initial amount of 1,000…

A: If N0 is the initial amount and t is the number of years then equation of decay  is given by…

Q: How long will it take 70 grams of cobalt-60 to decay to 7 grams? The half-life of cobalt-60 is 5.3…

A: Given data is : Initial 70 gram of cobalt -60 A0=70 gram  Let after t years cobalt-60 decay to 7…

Q: round

A:

Q: At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 60 minutes,…

A: Answer

Q: The time T between calls to a call center is exponentially distributed with mean 0.2 seconds. That…

A: The exponential distribution is always related to the amount of time till a specific event occurs.…

Q: The radioactive isotope lead has a half-life of 3.3 hours and decays at a rate proportionate to the…

A: This is a problem of differential equation and integration. Based on the given scenario first of all…

Q: 4.) The half-life of strontium-90 is 28 years. Find the rate of decay. How long will it take a 50 mg…

A:

Q: If the half-life of a radioactive substance is 5,200 years, then at what rate is it decaying? (Hint:…

A:

Q: The decay constant for carbon-14 is 0.00012, with time measured in years. A piece of papyrus…

A: Decay of any radio active substance follow first kinetics and the equation of first order kinetics…

Q: An environmental study of a certain community suggests that t years from now the level L(t) of…

A:

Q: The half-life of plutonium-241 is 13 years.  What is the decay constant?  Use the approximation…

A:

Q: The half-life of radium-226 is approximately 1620years.a. How much of a sample weighing 4 g will…

A: For a radioactive material, we have N(t)=N012tt1/2 Where N(t)=quantity of the material remaining.…

Q: An investment pays out 800,000 Mexican pesos per year, continuously for 5 years. Find the PV of the…

A: Given, AmountA=800,000t=5 years

Q: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

A: Here we have a population of fruit flies that changes at a rate of g(t)=-4e0.04t…

Q: A sample of 500 g of radioactive​ lead-210 decays to​ polonium-210 according to the function…

A: Given function  A(t)=500e−0.032t Here, A(t) is the amount of radioactive lead and t is the time in…

Q: Q1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

A:

Q: The half-life of Radium-226 is 14 years. How much of an initial 143 g sample will remain after 43…

A:

Q: A sample of 400 g of radioactive lead-210 decays to polonium-210 according to the function A(t) =…

A:

Q: A radioactive substance has a half life of 175 years. Find the decay constant, r, for this…

A: A radioactive substance has a half life of 175 years

Q: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

A:

Q: At the beginning of an experiment, a scientist has 128 grams of radioactive goo. After 105 minutes,…

A: Half life of radioactive material is 26.25 min. Radioactive goo remained after 23 min is 69.74 gram.

Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

A:

Q: An environmental study of a certain community suggests that t years from now the level of carbon…

A: Let's find.

Q: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

A: Given:             dAdt=k 0.043% of total amount has disintegrated :              =100-0.043%…

Q: Radium-221 has a half-life of 30 s. How long will it take for 95% of a sample to decay?

A: Given that Radium-221 has a half life of 30 seconds. We need to calculate how long will it take for…

Q: The half life of radium−226 is 1590 years. Let m(t) = m0 exp (kt) be the mass of radium−226 that…

A: Half time of the radium is 1590 years. m0=100mg Half time of the radium is 1590 years.…

Q: At the beginning of an experiment, a scientist has 336 grams of radioactive goo. After 105 minutes,…

A:

Q: Strontium-90 is a radioactive isotope with a half-life of 29 years. Strontium-90 is a major…

A: The half-life , T12 , is calculated using the formula, T12=ln 2λ , where, λ is the decay constant.…

Q: At the beginning of an experiment, a scientist has 180 grams of radioactive goo. After 180 minutes,…

A: G(t)=G(0)(1/2)^(t/t1/2)

Q: Radioactive Radium Radium-221 has a half-life of 30 s. How long will it take for 95% of a sample to…

A: For decay of radioactive element                 Half life = ln 2decay constant         t12  = ln 2λ…

Q: Radon-222 has a half-life of 4.00 days. Given its mass 5.488 gram at a certain time, what was the…

A: Given that, Radon-222 has a half-life of 4.00 days. Given its mass 5.488 gram at a certain time We…

Q: The half-life of plutonium-241 is approximately13 years.a. How much of a sample weighing 4 g will…

A: The half-life of plutonium-241 is 13 years. A(t)=A0e-k tA02=A0e-k×13…

Q: Q1) The doubling time for a certain virus is 3 yr. How long will it take for the virus to increase…

A: Here we will find out the required value.

Q: A certain radioactive material known to decay at a rate proportional to the amount present. If…

A: let 'x' be the amount present.rate α xdxdt=kx,    where k is constant.1xdx=kdtDifferentiate both…

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Let f(x)=5ln x       and g(x)=ln x,

Q: A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 MeV (million or…

A: Let's find time to taken sample to degrade to 4.5kg.

Q: An environmental study estimates that, t years from now, the level of carbon monoxide in the air of…

A:

Q: The decay of 713 mg of an isotope is given by A(t) = 713 e 0.029t wheret is time in years. Find the…

A:

Q: At the beginning of an experiment, a scientist has 196 grams of radioactive goo. After 210 minutes,…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.