A meteor contains 0.556 g of Pb-206 to every 1.00 g of U-238. Assuming that the meteor
Question:
A meteor contains 0.556 g of Pb-206 to every 1.00 g of U-238. Assuming that the meteor did not contain any Pb-206 at the time of its formation, determine the age of the meteor. Uranium-238 decays to lead-206 with a half-life of 4.5 billion years.
Transcribed Image Text:
SORT You are given the current masses of Pb-206 and U-238 in a rock and asked to find its age. You are also given the half-life of U-238. STRATEGIZE Use the integrated rate law (Equation 21.3) to solve this problem. To do so, first determine the value of the rate constant (k) from the half-life expression (Equation 21.1). Before substituting into the integrated rate law, you need the ratio of the current amount of U-238 to the original amount (N/No). The current mass of uranium is simply 1.00 g. The initial mass includes the current mass (1.00 g) plus the mass that has decayed into lead-206, which you can deter- mine from the current mass of Pb-206. Use the value of the rate constant and the initial and current amounts of U-238 and the integrated rate law to find t. GIVEN: MU-238 = 1.00 g; mpb-206 = 0.556g; t1/2 = 4.5 x 10°yr FIND: t CONCEPTUAL PLAN 11/2 tu= g Pb-206 0.693 k k, N₁, No k 1 mol Pb 206 g Pb In- N₁ No mol Pb-206 =-kt t 1 mol U 1 mol Pb. mol U-238 238 g U 1 mol U g U-238
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
t12 0693 k 0693 t12 154 x 100yr k 5 Nt In No ...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
The contents of the rock have a 206Pb to 238U mass ratio of 0.175:1.00. Assuming that the rock did not contain any 206Pb at the time of its formation, determine the age of the rock. Uranium-238...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Sketch the following regions and write an iterated integral of a continuous function f over the region. Use the order dy dx. R = {(x, y): 0 x 4, x y 8x}
-
Web Design Services billed its customers a total of $490,200 for the month of August, including 9 percent federal excise tax and 5 percent sales tax. 1. Determine the proper amount of service revenue...
-
a. What kind of data set should be analyzed using the one-way analysis of variance? b. Why shouldnt you use the unpaired t test instead of the one-way analysis of variance?
-
Below are a number of costs that are incurred in a variety of organizations. Required: Classify each cost as being variable or fixed with respect to the number of units of product or services sold by...
-
Twentieth Century Fox (Fox) owned and distributed the successful motion picture The Commitments. The film tells the story of a group of young Irish men and women who form a soul music band. In the...
-
x + a (1 point) Find the values of constants a, b, and c so that the graph of y= has a local minimum at a = 8 and a local maximum at bx + c (-1,-5). a= 8
-
Consider this graph representing the decay of a radioactive nuclide. What is the half-life of the nuclide? (a) 625 years (b) 1250 years (c) 2500 years (d) 3125 years
-
The chart shows the mass of a decaying nuclide versus time. What is the half-life of the decay? a) 15 min b) 25 min c) 35 min d) 70 min Mass Nuclide (g) 30- 25 DO 20- 15 10 5 0 0 20 40 60 80 Time...
-
Develop an ABC inventory classification system for a minimum of 20 items at your local Wal-Mart (or a similar general retail store). What criterion did you use for classifying the goods into either...
-
Ruhm (1996) considered the effect of beer taxes and a variety of alcohol-control policies on motor vehicle fatality rates. The data is for 48 states (excluding Alaska, Hawaii, and the District of...
-
Natural disasters such as earthquakes significantly reduce tourism to the area directly affected and to surrounding areas for a time. Nishimura et al. (2013) investigate the extent of the reduction...
-
Price Gouging Does Not Happen in Japan While price gouging almost always occurs in the aftermath of a natural disaster, it was not observed after the earthquake, tsunami, and nuclear fallout in Japan...
-
Answer this question that a reader asked Marilyn vos Savant [24]: At a lecture on fire safety that I attended, the speaker said: One in 10 Americans will experience a destructive fire this year. Now,...
-
Answer this question that a reader asked Marilyn vos Savant, who is listed in the Guinness Book of World Records Hall of Fame for Highest IQ [23]: During the last year, Ive gone on a lot of job...
-
Why is the calibration of a credit risk model to the market important in fixed income trading?
-
What will be the final value of DI after executing the following piece of code? Execute the instructions dependently one after another. CLD MOU CX,OFOH MOU AX.02874H MOU DI,01000H MOU ES, DI SUB...
-
A thin plastic rod 20 cm long carries 3.2 nC distributed uniformly over its length. (a) If the rod is bent into a ring, find the potential at its center. (b) If its bent into a semicircle, find the...
-
A thin ring of radius R carries charge 3Q distributed uniformly over three-fourths of its circumference, and -Q over the rest. Find the potential at the rings center.
-
The potential at the center of a uniformly charged ring is 45 kV, and 15 cm along the ring axis the potential is 33 kV. Find the rings radius and total charge.
-
Packaging Solutions Corporation manufactures and sells a wide variety of packaging products. Performance reports are prepared monthly for each department. The planning budget and flexible budget for...
-
Southern Comfort company reported net income equal to $100. The company reported no depreciation expense but did report a loss on the sale of equipment equal to $5. In addition the balance sheet...
-
All of the following are examples of unethical behavior except: 1. Hiring your unqualified brother-in-law because he is a family member 2. Inflating the firm's earnings in-order-to improve earnings...
Study smarter with the SolutionInn App