Calculate the amount, in grams, of an original 300-gram sample of radioactive isotope Potassium-40 remaining after
3.9 billion years if its half life equals 1.3 x 10^9 years.

Answers

Answer 1

Answer:

The current amount of the Potassium-40 sample is approximately 37.521 grams.

Explanation:

The amount of the sample of the radioactive isotope decays exponentially in time, the amount of mass of the sample as a function of time ([tex]m (t)[/tex]), in grams, is described below:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in grams.

[tex]t[/tex] - Time, in years.

[tex]\tau[/tex] - Time constant, in years.

The time constant can be found from half life ([tex]t_{1/2}[/tex]), in years, described in statement:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)

If we know that [tex]m_{o} = 300\,g[/tex], [tex]t = 3.9\times 10^{9}\,yr[/tex] and [tex]t_{1/2} = 1.3\times 10^{9}\,yr[/tex], then the current amount of the sample is:

[tex]\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}[/tex]

[tex]\tau \approx 1.876\times 10^{9}\,yr[/tex]

[tex]m = (300\,g)\cdot e^{-\frac{3.9\times 10^{9}\,yr}{1.876\times 10^{9}\,yr} }[/tex]

[tex]m\approx 37.521\,g[/tex]

The current amount of the Potassium-40 sample is approximately 37.521 grams.


Related Questions

Which province/territory has the highest population density? Why do you think this is so?

Answers

Answer:

Prince Edward Island

Prince Edward Island is the most densely populated province in Canada. Canada is the second largest country in the world after Russia.

...

Canadian Provinces and Territories by Population Density.

Rank Province/Territory Population Density (People/Km Sq)

1 Prince Edward Island 24.7

2 Nova Scotia 17.4

3 Ontario 14.1

4 New Brunswick 10.5

kesan negatif pengangkutan air terhadap manusia dan alam sekitar​

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menyebabkan tumpahan minyak, hidupan laut terjejas, dan lain-lain

Please hurry its for summer school it’s due today

Make your profile using your topographic map and this profile scale. If you need more room,
you can use a sheet of lined notebook paper

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I need a picture I don’t understand

An economic system that combines the principles of free choice and
government intervention is defined as which of the following?
A. Mixed
B. Traditional
C. Developing
D. Command

Answers

The answer is A. Mixed

How did physical geography impact the Arctic Inuit?​

Answers

Many Inuit had to adapt to the harsh cold climate by creating warmer clothing and shelter. The Innuit also hunted efficiently and didn’t waste a lot of energy because of the lack of vegetation. They also had to adapt to the Moutan ranges as well.

what is the role of stars in our galaxy and other galaxies in maintaining accurate navigation in outer space?

Answers

Answer:

mark me as the brainliest plss

Weather is a result of different air masses coming in contact with each other. Use the fronts and pressure systems on the weather map to identify the weather condition that is labeled correctly.

Answers

Answer:

Mild weather.

Explanation:

Mild weather is the weather that labeled correctly because the regions nearer to the ocean or sea have mild weather condition. Due to near of water, the coastal regions experiencing warmer winters and cooler summers as compared to regions that are situated far from the ocean or sea. This is a result of ocean temperatures that taking longer to warm up and cool down than the adjacent landmass.

Answer:

mild weather

Explanation:

took the test got it right

Describe how the rotation of Earth around its own axis and its revolution around the sun affect sunrise and sunset? Explain why will this be different from outer space.

Answers

Answer:

These two annual times of light and dark are separated by a long sunrise and a long sunset. Earth rotates on its axis; this causes us to experience day and night. Because of this tilt and Earth's movement around our Sun, there is a time when Earth's north pole is tilting 23.5 degrees toward our Sun.

Explanation:

what is the length of day and night if neither end of the earth's axis is tilted towards the sun?

Answers

Answer:

probably double the time

Explanation:

most likely 48 hours per day

The first mosque in Great Britain was built in 1889. Today, there are over 1,500 mosques in the country.
Which factor most contributed to this culture change?

Increased trade with Muslim countries

Muslim refugees from war-torn countries

Muslim immigrants from former British colonies

Government efforts to promote religious diversity

Answers

Muslim immigrants from former British coloniesAnswer:

1889

The Shah Jahan Mosque at Woking was Britain's first purpose-built mosque. It was established in 1889 by the Jewish ex-Registrar of the University of Punjab, Gottlieb Leitner, with financial backing from the Begum Shah Jahan of Bhopal.

Explanation:

The Shah Jahan Mosque in Woking was the first purpose-built mosque in Britain, and was built in 1889.

8. Recall that this is what a compass would look like if you were orienting yourself to the northwest. If you wanted to go southeast, how would the compass be positioned? Draw your answer below. (15 points)

Answers

Answer:

its in Wikipedia go type south east to north west

Explanation:

its actually kind of a angle from in between north and west and also in between south and eastb

If a person wanted to go southeast, the magnetic needle of the compass would be positioned between south and east.

What is a Compass?

A compass is a machine or a device that depicts the cardinal directions that are essential for navigation.

Simply put, it is used for finding direction. See the attached image for a compass that is pointing between the south and the east.

Learn more about compass at:
https://brainly.com/question/658363

guys where is london weather office located?

-university of westerns ontario

-police station

-downtown

-airport


-GIVING BRAINLIST FOR RIGHT ANSWER

Answers

Answer:

U of W Ontario

Explanation:

I think this is the right answer but I'm not 100.

Using this chart, which country is MOST likely to have the highest standard of living?
A) Kenya
B) Sudan
C) Nigeria
D) South Africa

Answers

Answer:

D

Explanation:

south Africa should have the highest standard of living

The country that is most likely to have the highest standard of living is South Africa.

What determines a standard of living?

There is a correlation between education literacy and high standard of living because good education leads to a better overall economy.

Because South Africa have the highest education literacy, then, it is the country that that is most likely to have the highest standard of living among the others.

Therefore, the Option D is correct.

Read more about standard of living

brainly.com/question/1142533

#SPJ2

A waxing gibbous phase is ______.
A. between the third quarter and a full moon
B. between the first quarter and a full moon
C. something that happens every other month
D. something that cannot be predicted

Answers

The answer would be
B.between the first quarter and a full moon :)

Warren Thompson’s demographic transition model describes population changes in a country over time.

Please select the best answer from the choices provided.

T
F

Answers

Answer:

THE ANSWER IS TRUE

Explanation:

Warren Thompson’s demographic transition model describes population changes in a country over time.

Answer:

true

Explanation:

it came to me in a dream

what do you mean by environment??​

Answers

Answer:

Environment is the conditions in a place we live or work that affects or influence our behavior and development and the things around us.

Answer:

environment is the physical and biological world around us.

hope it helps

Which diagram best represents the tilt of Earth's axis in December?
N
Sun's
rays
Sun's
rays
Sun's
rays
Sun's
rays
o
EN
s
(2)
(3)
1
Diagram #1
2.
Diagram #2
3.
Diagram #3
4.
Diagram #4

Answers

there aren't any diagrams included

when was philippines found?​

Answers

july 4th 1946
hope that helps

Describe ONE way how agriculture as a primary sector is linked to the secondary and tertiary sectors​

Answers

Answer:

One link between the primary sector the secondary sector, and the tertiary sectors, is the production of cotton which are used for the manufacture of clothing material, which are used by the secondary sector to manufacture clothing, and other fabrics, that are used by the tertiary sector for furnishing and trade

Explanation:

The primary sector is the sector that has land as the main input

Therefore, the primary sector includes sectors such as the agricultural sector

The secondary sector, manufactures goods using raw materials for the goods being the produce of the primary sector, including crops such as cocoa, used to produce food drink, corn, barley, millet, and grapes used for making alcoholic beverages, wheat, used for making bread, and cotton

The tertiary sector, which is the service sector, includes the retailing, banking, hotels, restaurants, police, and service industries

Using the map of Australia, what is the MOST precise location of Melbourne?
A) South East
B) Southeast of Canberra
C) 35S 120E
D) 37S 147E

Answers

Answer:

I think its B

13
The continent of Africa was heavily colonized by Europeans, which led to many consequences. One positive consequence was that sanitation
methods Improved, greatly increasing life expectancy. What type of colonial influence would have made this possible?
OA political
OB.
technological
Oc religious
OD.
social

Answers

Answer:

B. Technological

Explanation:

Improved sanitation and medicine relates to technological advances

Some minerals have special
properties. Which of these is a
special property that not all
minerals have?

Answers

C. Radioactivity

Hope this helps! :)

Answer:

radioactivi

Explanation:

i hope u understand

Explica los cambios producidos en Europa en el siglo XX. Localiza los estados que aparecieron luego de la caída del Muro de Berlín.

Answers

Answer:

Nacieron muchos países.

Explicación:

La Primera Guerra Mundial, la Revolución Bolchevique, la Guerra Civil Española, la creación del nazismo, la Segunda Guerra Mundial, el Holocausto, la Guerra Fría en Europa, el colapso del muro de Berlín y las Guerras Balcánicas son los eventos que traen grandes cambios en Europa en el siglo 20. Después de la Primera Guerra Mundial, el imperio otomano se derrumbó y se convirtió en unos 40 países. Debido al colapso de la Unión Soviética después de la guerra de Afganistán, se produce la unificación del este y el oeste de Alemania, lo que lo convierte en un solo país.

A bench mark can indicate.......on a map​

Answers

I don’t know the answer sorry

paragraph-how high GDP can affect child mortality​

Answers

Answer:

The authors found that, on average, a 1% reduction in the per capita GDP implies a 0.24 to 0.40 increase in infant mortality per 1,000 live births. In a more recent study, O’Hare et al.17 found effects of 0.33 for infant mortality and 0.28 for under-five mortality. These results are higher than those observed in the present study, which found an association of approximately 0.12 for infant mortality and 0.10 for under-five mortality rate for the total sample, and 0.15 and 0.14, respectively, for the subsample of low- and middle-income countries. This difference is probably due to the countries included in the sample, as Baird et al.14 and O’Hare et al.17 include only middle- and low-income countries in their analysis, while the present study included countries from the three income strata, with only 14% of the sample consisting of low-income countries. According to Maruthappu et al.6, the effect of economic crises on the health of children under five in the poorest countries is three-fold higher than the effect on children in high-income countries.

Explanation:

1- Name 5 India's Neighbouring Countries ?
2- Name Countries that are larger than India ?
3- What is the Capital of India ?
4- How many States are there in India ?
5- Which is the Largest & Smallest States of India ?

Answers

1-The total length of the coastline of India is 7,516.6 km. India shares its border with seven countries namely Afghanistan, Pakistan, China, Bhutan, Nepal, Myanmar, Bangladesh, Maldives and Sri Lanka.

2-The countries that are larger than India are Russia, Canada, U.S.A, China, Brazil and Australia. Russia is the largest among all countries. The area of the Country Russia is of 17.09 sq.km, and India has an area of 3.28 sq.km.

Answer:

1 - Afghanistan, Bangladesh, Bhutan, China, Maldives, Myanmar, Nepal, Pakistan, and Sri Lanka.

2 - Russia, Canada, the United States, China, Brazil, and Australia

3 - New Delhi

4 - 29 States

5 - Rajasthan is the largest state in India while Goa is the smallest state in India

A boy is flying a kite. His kite string is extended 50 meters long. The boy is 1.7 meters tall, and the angle of elevation of the kite to the boy's hands is 12°. How high is the kite flying above the ground?

Answers

Answer:

12.1 meters

Explanation:

Please check the attached image for a diagram of the question

We are given the value of the hypotenuse and we are to determine the value of the opposite side. Thus, we would use sin

Sin = opposite / hypotenuse

sin 12 = opposite / 50

0.2079 =  opposite / 50

opposite =  0.2079 x 50 = 10.4 meters

height of the kite above the ground = 10.4 + 1.7 = 12.1 meters

what are the things that a spacecraft should do so it can overcome the challenges of intergalactic travel?

Answers

Answer:

If a spacecraft is in space for a long time, radiation is a problem. Designers must figure out a way to protect astronauts from the radiation.

Answer:

Food and Water,Proper Propulsion,Radiation Protection,etc are the things that a spacecraft should do so it can overcome the challenges of intergalactic travel.

Explanation:

Star Wars would have you believe that the greatest challenges to space travel is asteroids, lack of resources like water or fuel, or even the threat of unfriendly, intelligent alien life. But in reality, scientists are finding that the biggest obstacle to today's space travel is dust.

Day and night are caused by the Earth’s __________.
A.
biosphere
B.
rotation
C.
revolution
D.
atmosphere

Please select the best answer from the choices provided
A
B
C
D

Answers

B

The day and night cycle is a result of Earth’s rotation
B. Earth rotating on its axis.

What did the extinction of the dinosaurs lead to

Answers

Answer:

A big meteorite crashed into Earth, changing the climatic conditions so dramatically that dinosaurs could not survive. Ash and gas spewing from volcanoes suffocated many of the dinosaurs. Diseases wiped out entire populations of dinosaurs. Food chain imbalances lead to the starvation of the dinosaurs.

After the dinosaurs went extinct a bunch of new roles were open that used to be inhabited by dinosaurs. The extinction allowed for other animals to grow and evolve in ways they couldn’t when the dinosaurs existed. More specifically the extinction of the dinosaurs led to the rise of mammals in the Cenozoic.
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