1. A certain radioactive material is known to decay at a rate proportional to the amount present. Ifinitially there is 50 mg of the material present and after two hours it is observed that the material has lost 20% of its original mass, find the mass of the material after 6 hours.

Q: 2-The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at…

A: image is attached

Q: A radioactive material decays at a rate proportional to its amount. If the material has a life of 30…

A: This question is based on application of differential equation.

Q: A certain radioactive material decays at a rate proportional to the amount present. At time ?=0,…

A:

Q: 4. A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

A:

Q: 6. The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at…

A: Let's find time to take 90% of the lead to decay.

Q: 1. The population of a town grows at the rate proportional to population present at any time t. The…

A:

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: 3. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A:

Q: When time is measured in​ days, the decay constant for a particular radioactive isotope is 0.16.…

A: The equation for radioactive decay is N(t)=N0(e-λt), where N(t) is the new amount of isotope , N0is…

Q: Radium decomposes at a rate proportional to the quantity present. If at the end of 20 years…

A: Solution

Q: at a rate proportional to the current population, and in the absence of other factors, the…

A: Consider at time t the population of mosquitoes is N in the area

Q: 1. Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Given that Radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of…

Q: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

A: Solve for the mass after time 2.2 thousand years

Q: 3. A mixture is transferred into a cylindrical container through a conical filter. If the filter is…

A: The volume of a cone: V=13πr2h Where, r  is the radius of the cone. h is the vertical height of the…

Q: 2. The population of a certain state is known to grow at a rate proportional to the number of people…

A: 2) Given:         Rate of increase of the population of the state is proportional to the number of…

Q: 2. The population of a town grows at a rate proportional to the population present at time t. The…

A:

Q: 3. A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an…

A: 3. Rate of creation of radioactive substance is 1 g/hr The mass of substance at time t is q(t) gm…

Q: The natural law of decay is used to study the radioactive decay of Radium: dm = -km dt Where m is…

A: This question is related to differential equations, we will solve it using given information.

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

A:

Q: What is the characteristic growth rate of a population that is currently growing at a rate of…

A: simple growth rate formula will be used to solve the question.

Q: A radioactive substance decays at a rate proportional to the amount present ( y(t) = yoe-rt ) If 40%…

A: let the amount of radioactive material be x, and Given that…

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

A:

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

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Q: The natural law of decay is used to study the radioactive decay of Radium: dm -km dt Where m is the…

A:

Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…

A:

Q: 1. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find…

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is…

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

A:

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

A:

Q: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

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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: Suppose the half-life of a certain radioactive substance is 20 days and that there are5 grams…

A: Given that, The half-life of a certain radioactive substance is 20 days and that there are 5 grams…

Q: 2) A tank, which has a capacity of 100 L, is initially half full of a solution that contains 50g of…

A:

Q: 1. For a certain radioactive element decays at a rate of 37.7% per day (tis measured in days). How…

A: We need to find time.

Q: A radioactive material decays at a rate proportional to its amount. If the material has a half-life…

A: model is  A=A0ektfor half-life put A=A02thenA02=A0ektsolving for t, we get k=-ln(2)t

Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Since you posted two questions here, i can answer only first one at a time. Please repost other…

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

A:

Q: When time is measured in days, the decay constant for a particular radioactive isotope is 0.14.…

A: The decay of an object follows the exponential model  where N(t)I is the amount remaining after time…

Q: 4. The population of a trading area is currently 100 thousand. At time t years from now population…

A:

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

A:

Q: In a chemical reaction, a certain compound changes into another compound at a rate proportional to…

A: Let y be the unconverted amount of substance A at time t. Thus, the given information can be written…

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

A: Let Q  = amount of substance present            dQdt=kQ             integrating on both sides…

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

A: The decay rate is proportional to the amount present. So, dNdt=-λN⇒dNN=-λdt⇒∫dNN=-λ∫dt+C⇒ln…

Q: 2. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life?

A: Let No be the initial mass, N be remainingmass.  Then  N= No - 25100 No = No - No4=34NoHence    t…

Q: 1. A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After…

A: Here, A(t) is the amount of plutonium remaining at time t. So, we can create the I.V.P. dAdt=kA,…

Q: In a chemical reaction, substance A decomposes at a rate proportional to the amount of A present. It…

A: This decomposition reaction of first order, because rate is directly proportional to the…

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: 3. Radioactive carbon-14 fossil decays at a rate proportional to its amount present and has a…

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.