1. Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium decompose to 96 mg. What is the half life of radium?

Q: 2. The half-life of a radioactive substance is 4000 years. How long will it take for the substance…

A: The half life of the radioactive decay is  years.

Q: 1. A radioactive material has a half-life of 200 years. my centuries are needed to dissipate its…

A: We know formula for the half life of a radioactive material is  Nt=N012tt1/2 Where N(t) is the…

Q: 12. A 4000 mg sample of bismuth decays to 500 mg in 18 minutes. What is its half-life?

A:

Q: The half-life of Radium-226 is 5 years. How much of an initial 170 g sample will remain after 22…

A:

Q: The half-life of Radium-226 is 6 years. How much of an initial 178 g sample will remain after 23…

A: Initial amount of Radium-226 is A0 = 178 g The half life of Radium-226 is t12 = 6 years Total Time,…

Q: 21. The half-life stronium-90 is 29 years. Find the mass remaining after 18 years if a 100g sample…

A: Exponential decay model for a substance is  A=A0e-rtwhere A=amount after time tA0=initial amount…

Q: A bacterla colony starts with 20 bacterla and grows continuously at a rate of 28% per hour. a. How…

A:

Q: 3. Strontium-90 is used in machines that control the thickness of paper during the manufacturing…

A:

Q: A radioactive element is known to decay at a rate proportional to its present mass. Initially, there…

A: Given: A radioactive element is known to decay at a rate proportional to its present mass.…

Q: The half-life of iron-52 is approximately 8.3 hours. Step 3 of 3: How much of a 13 gram sample of…

A:

Q: Element X decays radioactively with a half life of 9 minutes. If there are 170 grams of Element X,…

A: Given- Element X decays radioactively with a half life of 9 minutes and there are 170 grams of…

Q: With a half life of 36 hours. Suppose a patient receives a  medication of 90 milligrams at midnight.…

A: A=A0e-ktAt t=36,A=A02A02=A0e-36kk=ln236A=A0e-ln236tA0=90At noon on first day…

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

A:

Q: Radium decomposes at a rate proportional to the amount present. If 200 mg. of radium id reduced to…

A: Radium decomposes at a rate proportional to the amount present, so dQ/dt ~ Q so dQ/dt = kQ so from…

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.