1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
r-ruslan [8.4K]
3 years ago
8

Modeling Radioactive Decay In Exercise, complete the table for each radioactive isotope.

Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer :

The amount after 1000 years will be, 5.19 grams.

The amount after 10000 years will be, 0.105 grams.

Step-by-step explanation :

Half-life = 1599 years

First we have to calculate the rate constant, we use the formula :

k=\frac{0.693}{t_{1/2}}

k=\frac{0.693}{1599\text{ years}}

k=4.33\times 10^{-4}\text{ years}^{-1}

Now we have to calculate the amount after 1000 years.

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  = 4.33\times 10^{-4}\text{ years}^{-1}

t = time passed by the sample  = 1000 years

a = initial amount of the reactant  = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

1000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}

a-x=5.19g

Thus, the amount after 1000 years will be, 5.19 grams.

Now we have to calculate the amount after 10000 years.

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  = 4.33\times 10^{-4}\text{ years}^{-1}

t = time passed by the sample  = 10000 years

a = initial amount of the reactant  = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

10000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}

a-x=0.105g

Thus, the amount after 10000 years will be, 0.105 grams.

You might be interested in
PLZZZ HELPP NOWWWWW......
andreyandreev [35.5K]

Answer:

3.5% of 20, (0.035)*20, and 7% of 10

Step-by-step explanation:

Converting the mixed number (3 1/2) to a decimal yields 3.5, so 3.5% of 20 is correct.

3 1/2 is not equal to 3 1/2%, so 3 1/2 * 20 is not correct.

Converting the percentage to a decimal yields .035 which makes .35 too large, so (0.35) * 20 is not correct.

Changing the percentage to a decimal yields .035, so (0.035) * 20 is correct.

If you divide 20 by 2, you get 10, and if you multiply 2 by 3 1/2, you get 7. The 2 remains part of the expression, so it is equal to 3 1/2 of 20.

4 0
3 years ago
.In a warehouse, there are 40 guitars, 60 bass guitars, and 20 snare drums. An instrument is randomly selected to check the stor
My name is Ann [436]
4:1/6 if you add all the instruments you get 120 then you divide it by six and you get 20 snare drums
4 0
3 years ago
Read 2 more answers
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
Brrunno [24]

Answer:

1/3 and 1.5

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

There are 5 Multiples of 3 on the Spinner and 3 multiples of four.

5/15 is the probability for a multiple of 3 which can be simplified to 1/3

3/15 is the probability for a multiple of 4 which can be simplified to 1/5

Hope this Helps!

5 0
3 years ago
What is the rate of change for these numbers?
Snowcat [4.5K]
Wouldn't it be -1 (minus one)? 12 - 1 = 11 and 9 - 1 = 8.
8 0
3 years ago
Which answer is correct?<br> Thank you
stiv31 [10]

Answer:

Vertical angles

Step-by-step explanation:

: If two angles are vertical angles, then they're congruent (see the above figure). Vertical angles are one of the most frequently used things in proofs and other types of geometry problems, and they're one of the easiest things to spot in a diagram. Don't neglect to check for them!

4 0
2 years ago
Read 2 more answers
Other questions:
  • Have no clue how to find the slope or y off pic
    14·1 answer
  • Jorge bought 3 DVDs, each for the same price, and a set of earphones for a price of $10. The total cost before tax was $49. What
    14·1 answer
  • Train A departs station one traveling at 75 mph. Train N departs station two 30 minutes later traveling at 45 mph. The stations
    6·1 answer
  • A game is played as follows: a die numbered 1 to 6 is rolled. If the number 1 comes up, you get nothing. If the number 2, 3, or
    10·1 answer
  • Sarah wants to give the pizza delivery boy a 20 percent tip. If the pizza bill is $48.25, how much should she tip?
    14·2 answers
  • How do you convert 7.85 meter to centimeters
    15·2 answers
  • Find the unknown angle
    14·1 answer
  • (Constructed Response) Factor. 3x² - 4x - 7
    9·1 answer
  • 10 x (5x) = ? <br> help pls
    9·2 answers
  • HELP RN PLEASE!!!!!!!!​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!