Strontium-90 has a half-life of 28 days.(a) A sample has a mass of 50 mg initially. Find a formulafor the mass remaining after  t days. (b) Find the mass remaining after 40 days (c) How long does it take the sample to decay to a massof 2 mg?(d) Sketch the graph of the mass function

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

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A: The answer is found in step-2

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Q: carbon-14? The decay​ rate, k, of​ carbon-14 is

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A: Definition used -                            Decay equation -…

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A: Let A0 be the initial population and k be the growth rate.A0 = 1174k = 6.5%  = 0.065

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

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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…

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Q: A scientist wants to determine the halflife of a certain radioactive substance. She determines that…

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Q: A radioactive substance has a decay rate of 4% per hour. If 1000 grams of the substance are present…

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A: We will find out the required value.

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

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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…

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A: Please see the below pictures for detailed solution.

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

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Q: Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that…

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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: trontium-90 is a radioactive isotope that can be produced using nuclear fission, and has a half-life…

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Q: (a) After 20 years, 15% of the initial mass of the radium has decayed. (i) Find the half-life period…

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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: Radon-222 has a half-life of 4.00 days. Given its mass 3.168 gram at a certain time, what was the…

A: We will find out the required solution.

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.