A sample of the lava flow within the outcrop has 707 Uranium-235 atoms, and 293 Lead-207 atoms. How old is the lava flow?

Answers

Answer 1

Answer:

The lava flow is approximately 351.925 million years.

Explanation:

We find that atoms of Uranium-235 decays and turns into Lead-207 and that half-life of the former one is [tex]703.8\times 10^{6}[/tex] years. The initial amount of Uranium-235 is the sum of current atoms of Uranium-235 and Lead-207. The decay of isotopes is modelled by the following ordinary differential equation:

[tex]\frac{dn}{dt} = -\frac{n}{\tau}[/tex] (Eq. 1)

Where:

[tex]\frac{dn}{dt}[/tex] - Rate of change of the amount of Uranium-235 atoms, measured in atoms per year.

[tex]n[/tex] - Current amount of Uranium-235 atoms, measured in atoms.

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

The solution of this differential equation is described below:

[tex]n = n_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (Eq. 2)

Where:

[tex]n_{o}[/tex] - Initial amount of Uranium-235 atoms, measured in atoms.

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

In addition, we can calculate the time constant in terms of the half-life:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (Eq. 3)

If we know that [tex]n_{o} = 1000\,atoms[/tex], [tex]n = 707\,atoms[/tex] and [tex]t_{1/2} = 703.8\times 10^{6}\,yr[/tex], then the age of the lava flow is:

From (Eq. 2):

[tex]t = -\tau \cdot \ln \frac{n}{n_{o}}[/tex]

By (Eq. 3);

[tex]\tau = \frac{703.8\times 10^{6}\,yr}{\ln 2}[/tex]

[tex]\tau \approx 1.015\times 10^{9}\,yr[/tex]

[tex]t = -(1.015\times 10^{9})\cdot \ln \frac{707\,atoms}{1000\,atoms}[/tex]

[tex]t \approx 351.925\times 10^{6}\,yr[/tex]

The lava flow is approximately 351.925 million years.


Related Questions

Using the rule of 70 for doubling time, in how many. years will the population of mali double if its present rate of natural increase is 3.6, assuming all other indicators stay. constant
A. 20 years
B. 40 years
C. 60 years
D. 80 years
E. 100 years

Answers

the answer is a. 20 years

The time it will take for the population of mali to double is 20 years. Which is the correct answer would be an option (A).

What is the rule of 70 for doubling time?

The rule of 70 for doubling time is defined as the time it will take for your investment to double and is calculated by dividing your growth rate by 70.

For example, if your mutual fund has a four percent growth rate, divide 70 by three. Thus, the doubling time is 17.5years because 70 divided by three is 17.5.

We have to determine using the rule of 70 for doubling time, in how many. years will the population of mali double if its present rate of natural increase is 3.6.

We have been given that the present rate of natural increase is 3.6.

According to the rule of 70 for doubling time,

70 divided by the growth rate of 3.6

⇒ 70/3.6

⇒ 19.44 ≈ 20

Therefore, the time it will take for the population of mali to double is 20 years.

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PLS help me with THIS ASAP
WILL MARK AS BRAINLIEST IF CORRECT

Answers

Answer:

north pole is A

south pole is I

prime meridian is L

Explanation:

The answer is A, I ,L.

What is the Judaism distribution?

Answers

Answer:

Judaism is mostly found in the USA and Israel, and in a smaller scale in some of the European and South American countries, though there are in other countries around the world.

Explanation:

Judaism is one of the oldest religions in the world that has managed to survive in modern times. It is the first of the Abrahamic religions and it has been the basis for the formation of Christianity and Islam later in history. The followers of this religion have been the subject of persecution and genocide multiple times throughout history, which has led to stagnation of the number of followers or drop of it.

Nowadays, the USA has the biggest number of Jews, around 12 million, while Israel, the only Jewish dominated country, has around 6.5 million Jews. Only three other countries have over half a million Jews and those are France, Canada, and Russia. Other countries where there are Jewish communities that number more than 100,000 people are the West Bank, UK, Argentina, Germany, Ukraine, Brazil, Australia, and Hungary.

NEED NOW
In the 1850s, an international conference accepted the Greenwich meridian, located in London, England, as the standard location of the prime meridian. What was the main effect this decision had on cartography? O A. Maps included a longitude line marked as the prime meridian. B. Maps were based with 0° longitude placed in London, England, rather than based on the nationality of the cartographer. C. Maps included the prime meridian to diminish the effect of distortions of land areas to the far north and south. D. Maps were now centered on the prime meridian at 0° longitude​

Answers

Answer:

D.

Explanation:

Its not c, maps didn't necessarily state there was a prime meridian, so i dont think it is a, and I don't think maps were ever based around a nation, they were made to see certain areas not to put their nation in the middle.

Which of the following situations best demonstrates direct rule?
A.
Local rulers have significant autonomy.
B.
Local administrators make day-to-day decisions.
C.
Colonial powers utilize existing political systems.
D.
Colonial administrators hold government positions.

Answers

D colonial administrators hold government positions and offices

Answer:

D

Explanation:

aztec POLITICAL BOUNDARIES

Answers

Answer:

The Aztec empire was made up of a series of city-states known as altepetl. Each altepetl was ruled by a supreme leader (tlatoani) and a supreme judge and administrator (cihuacoatl). The tlatoani of the capital city of Tenochtitlan served as the Emperor (Huey Tlatoani) of the Aztec empire.

Explanation:

How have human systems and political systems shaped Central America and the Caribbean?

Answers

Answer: This quesiton can cover many topics, but if you want the most basic ones it could be transportation, culture, and the form of government

Explanation:

Many of the countries are still developing, and because of this, their governments are corrupt as heeeeeeckk. Presidents and government officials tend to steal money from its people a lot, through everything. This is because of very weak law enforcement and the limiting of powers. This causes for the economy and education in the country to go down. This also causes more poverty, which means less people go to school and get careers. This is one of the big reasons why I appreciate the free education in the U.S., we are very privileged and we should be grateful for the things we have that others wish to obtain. :(

The Panama Canal improved transportation a thousand times better. People from California or Asia had to go around South America through boat, and this took about 12 - 14 months. When the canal was built, the time decreased to about 3 months (which is a lottt). It also decreased the deaths from starvation or hitting icebergs at the south.

The cultures across the countries are very different due to different conquerors during the Colonization Era back in the 17th century. Spanish, British, French, Dutch, etc. conquered many parts of land, so that’s why Mexico speaks Spanish while its neighboring country, Belize, speak English. The culture diversity is very high in the Americas.

Find the measure of the missing angle.
42
a

Answers

It’s a straight line. The “straight” angle is 180°.
So 180-42=138°
That means that a is a 138° angle.

The measure of the missing angle. 42 is a 138 degree angle as the angles is straight.

What is the straight angle?

A staright attitude is likewise known as 'flat attitude'. In the picture, OX and OY are the fingers of an attitude. The not unusualplace factor O wherein the rays meet is known as the vertex.

So 180 - 42 = 138  degree.That method that a is a 138 degree  attitude.

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rod wave? no not as cute and cool as my dog

Answers

Answer:

Lol Im sure your dog is adorable. what kind is it?

Explanation:

Answer:

yes ur right i agree so can i have brainly please ill give u points

Explanation:

1 2 3 4 5 6 7 8 9 10 The three basic economic questions include all the following except __________. A. who will use the products produced B. what goods and services to produce C. how the products will be produced D. who will produce the products Please select the best answer from the choices provided A B C D

Answers

Answer:

muffin

Explanation:

cuz it tates good

Not an answer...

Explanation:

In Africa what do most people do to provide for themselves and their families

Answers

The same thing humans used to do before technological advancements. African tribal people mostly consist of hunger gathers

Match the letter with the name of the place it represents on the map,

Answers

Answer:

A- Great Lakes (specifically lake Superior)

B- Missouri River

C- Baird Mt?

D- Badlands National Park/ Mt Rushmore

E- Great Plains

F- Death Valley/Sierra Nevadas

G- Great Salt Lake

H- Grand Canyon

Explanation:

What did the scribes use for paper? animal skins cloth canvas

Answers


Scribes used canvas

The map below shows the locations of what type of boundary?
a.
transform
b.
collisional
c.
convergent
d.
divergent

Answers

Answer:

The map shows the locations of divergent plate boundaries.

Explanation:

There are three main types of plate boundaries, divergent, convergent, and transform plate boundaries. They are defined in accordance with the interaction that the plates have between each other. At divergent boundaries the plates move away from each other, at convergent boundaries, they move toward each other, and at transform boundaries, they slide past each other.

On this map, we have marked the locations of the divergent plate boundaries. We have the divergent boundaries between the Eurasian and Africa plates on one side and North American and South American on the other side, between the Pacific plate and Nazca plate, and between the Pacific and Nazca on one side and Cocos plate on the other Last but not least, there is the divergent plate boundary between the Antarctic plate on one side and the Australian, African, and South American plates on the other sides.

Which of the following Polar climates have the following characteristics? Coastal areas along the Arctic Ocean Long, bitterly cold winters in some parts is permafrost, or permanently frozen layers of soil *

Subarctic Climate
Tundra Climate
Ice Cap Climate
Highland Climate​

Answers

Ice Cap Climate - correct choice

what is the POLITICAL BOUNDARIES for the incas civilization

Answers

Answer:

Inca, also spelled Inka, South American Indians who, at the time of the Spanish conquest in 1532, ruled an empire that extended along the Pacific coast and Andean highlands from the northern border of modern Ecuador to the Maule River in central Chile.

Where do most immigrants to France come from?
India and Pakistan
Turkey
Eastern Europe
France's former colonies in Africa

Answers

the answer is africa

Why don't S shock waves get recorded on seismographs all over the globe after an earthquake?
A. S shock waves fade out as they travel through the earth.
B. All shock waves overlap so much that S waves can't be seen on the seismograph
C. S waves travel in the opposite direction, so they are never recorded.
D. S waves are stopped by the outer core of the earth.

Answers

Answer:

A. S shock waves fade out as they travel through the earth.

Explanation:

Seismic waves lose a great number of their energy when they travel over long distances so after an earthquake, they are not recorded on the seismograph.

S waves don't get recorded on seismographs all over the globe after an earthquake because they fade out as they travel through the earth.

How can you become a member of a political party?

Answers

By joking their newsfeed to get updates on the party and candidates running under it

days and nights occur on the earth due to dash​

Answers

Answer:

Due to the spinning of planet Earth on it's axis. (The axis is not actually visible.)

Explanation:

These days, we know that the Sun appears to move across the sky because the Earth rotates on its axis. When where you are is pointed toward the Sun, it is day. Then the Earth rotates you away from the Sun, and it is night.

Answer:

Days and nights occur on earth due to their rotational movement.

what term describes the exchange of animals, plants, disease, ideas and culture between European countries and their colonies in Latin America?

Answers

Answer: The Columbian Exchange

Explanation: The term is used to describe the enormous widespread exchange of plants, animals, foods, human populations (including slaves), diseases, and ideas between the Eastern and Western hemispheres that occurred after 1492.

Ocean waves contain energy that is transferred to them by_____ moving across the surface

Answers

Answer:

wind

Explanation:

what is the main aim of studying atlas

Answers

Answer:

An atlas is a type of a map

Explanation:

So consider uses of maps

Name 3 mountain ranges found in Latin America.

Answers

Answer:

Andes, Sierra Nevada de Santa Marta and Cordillera Blanca

Explanation:

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