7. A radioactive material decays at a rate proportional to its amount. If the material has a half-life of 30 minutes, what percent of the original mass is expected to remain after 0.8 hours?

Q: 4. Radium decomposes at a rate proportional to the amount present. If half the original amount…

A: Solve differential equation

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: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

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: 3) A certain radioactive material loses mass at a rate proportional to the mass present. If the…

A:

Q: If the half-life of a radioactive substance is 7,600 years, then at what rate is it decaying? 1…

A: We can find the rate of decay as below.

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: 9. If 75 mg of a radioactive substance decays to 15 mg in 20 years, find the Half-Life, in minutes,…

A:

Q: Of an initial amount of 9000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

A: Apply the formula  P(t)=Po(1-r)t where, Po is the initial quantity r is the rate and t is the time.…

Q: 2. Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

A:

Q: If population y grows at a rate proportional to the current population, then y could be

A: This make separable differential equation

Q: 3. A radioactive substance has a half-life of 1620 years. If its mass is now 4 grams, find the time…

A:

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

A:

Q: Suppose an unknown radioactive substance produces 22400 counts per minute on a Geiger counter at a…

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…

A:

Q: 1) For a period of time, an island's population grows at a rate proportional to its population. If…

A:

Q: 4. The population of the world is expected to double in the next 30 yr. What is its growth rate?

A:

Q: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

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: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

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…

A:

Q: 6. Determine the initial amount of radioactive substance if after 22 years, the remaining…

A: To find the initial amount of radioactive substance, decay rate and half-life of the substance.

Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

A:

Q: 2. Suppose that a bacteria population is dying off at a rate of 30% per day. How much of the…

A:

Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

A: We have to find the half life of substance.

Q: Of an initial amount of 4000 g of lead-210, how much will remain in 190 years? Lead-210 decays at a…

A: Here initial amount A0=4000g Decaying rate λ= 3.15% = 0.0315 Let amount remains in 190 years= A(t)

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: Of an initial amount of 8000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a…

A:

Q: Suppose an unknown radioactive substance produces 800 counts per minute on a Geiger counter at a…

A:

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Of the 1000…

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: 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: 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: 1. The half-life of a radioactive material is 41.44 minutes. Starting with 840.7 grams of the…

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: A tumor is injected with 0.7 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

A: The exponential function A = P * (1 - r)t  where A is the final amount and P is your inital amount.…

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) If an investment grows in value at 2.4% per year, how long will it take for its value to double?…

A:

Q: 6. An antibacterial substance is applied to a bacteria culture of 5000 bacteria. After 10 days, the…

A: The initial population is 5000. The population after 10 days is 100. We need to determine the decay…

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. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

A:

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: 8. Determine the half-life of the substance if an initial 150mg has decayed to 50mg in a an of 20…

A: Given query is to find half life and the time when 95% amount decayed.

Q: Of an initial amount of 7000 g of lead-210, how much will remain in 180 years? Lead-210 decays at a…

A: Given that: Initial amount of lead, P0=7000gRate of decay, k=3.15%per year.

Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given:A quantity decreases by 5.1% in 7.5 hours.

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

A: