Question: A sample of radioactive material has been decaying for 5 years. Three years ago, there were 6.0 g of material left. Now 5.2 g are

A sample of radioactive material has been decaying for 5 years. Three years ago, there were 6.0 g of material left. Now 5.2 g are left.
a. What is the rate of decay?
b. How much radioactive material was initially in the sample?
c. Find an equation to model the decay.
d. How much radioactive material will be left after 50 years (45 years from now)?
e. What is the half-life of this radioactive material?

Step by Step Solution

★★★★★

3.39 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 00466 or 466 per year If r is the decay rate then use th... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

940-L-A-L-S (3378).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

The mass of radioactive material in a sample has decreased by 30% since the decay began. Assuming a half-life of 1500 years, how long ago did the decay begin?

A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 7 weeks and obtains the following data: Week . Weight (in Grams) 0 .. 69.4 1 ...

Two different samples of radioactive isotopes are decaying. The isotopes have initial amounts of c1 and c2 and half-lives of k1 and k2, respectively. Find an expression for the time t required for...

Problem #3: A sample of naturally occurring radioactive material of is decaying exponentially, with an initial amount of 630 [4 marks] units. After 5 years, the amount of radioactive material has...

Problem #2: One type of airway resistance in human lungs can be approximated using the equation 4 marks] R = 8Ln 4 where R is the resistance, L is the length of the airway, n is the gas viscosity,...

12 milligrams of radioactive material decays exponentially. It takes 120 years for the amount of radioactive material in the sample to drop down to 8 milligrams. show a formula that models the amount...

LONG-LIVED ASSETS Refer to the notes to the financial statements.The first note, "Summary of Significant Accounting Policies," should provide information about the company's depreciation and...

These are my assigments 2/ Sometime ago the state of NC released an unknown quantity of trout into a lake. Four years latter (at t = 4 years) the park ranger estimated their were 800 trout. She...

Problem 3: Splitting the Atom Having recently gained access to the internet (wikipedia - fantastic! ), after doing some research you've learned three things which you did not know: Radioactive...

Facebook, Inc., launched a program called Bea-con that automatically updated the profiles of users on Facebooks social networking site when those users had any activity on Beacon partner sites. For...

The separation of components of a mixture containing two miscible liquids that boil {fill_regular) and have sufficient difference in their boiling points.

Given this dataset of 3 0 animals and thier weight , top speed , life span , habitat , diet and social behavior. write a python code that does the following: 1 - Read animal from the Table. Use Panda...

What is the law of demand? Use the substitution effect and the income effect to explain why an increase in the price of a product causes a decrease in the quantity demanded.

Convert to radical notation and, if possible, simplify. (a) y5/6 (b) x2/3 (c) 163/4 (d) 47/2

Convert to exponential notation. (a) 5(173) (b) (413)5 (c) (512)4 (d) 3(202)

Convert to decimal notation. (a) 8.3 10-5 (b) 2.07 107

Allocated indirect expenses Outside department $44,500 Inside department 35,500 Interest income $400 Gross profit Outside department $300,500 Inside department 205,000 Direct expenses Outside...

Mustaine Enterprises, Inc., has been considering the purchase of a new manufacturing facility for $271,000. The facility is to be fully depreciated on a straight-line basis over seven years. It is...

Waltham, Inc., a publicly traded firm, is considering the acquisition of a private company, Artforever.com, which specializes in restoring damaged artwork and vintage photographs for high net worth...