Carbon 14 has a half-life of 5,730 years. If one fourth as much carbon 14 is found in an ancient tree ring compared to the amount of carbon 14 found in a modern tree, how old can you calculate the tree to be?

Answers

Answer 1

First, let's recall the equation for half-life:

N(t) = [tex]N_{0}[/tex] · [tex]\frac{1}{2}^{\frac{t}{t_{1/2}}}[/tex]

Woah.

While we could certainly solve this question by using the half-life equation, it might be easier to just give this question some thought.

Half-life, is, essentially, the time it takes for radioactive material to be halved.   For example, if something had a half-life of ten years and weighed 20 pounds, after ten years it would weigh 10 pounds and after another ten years would weigh 5 pounds, then 2.5, and so on. (Note that it never actually reaches 0! It keeps halving and halving over and over again, becoming smaller and smaller but never disappearing!)

In this question, we're given the half-life of Carbon-14 and asked how old a tree with 1/4 the amount of carbon-14 of a normal tree would be. Let's think about this question:

We can make the assumption that a "modern" tree is a tree that is 0 years old. Why? Well, it would make it painfully complicated if we assumed anything other than that, and your chemistry teacher wouldn't be that cruel (I hope).How many half-lives must the Carbon-14 go through for the amount to be 1/4? Since the amount halves every half-life, we can count on our fingers - one half-life will make the amount 1/2 the original, two half-lives will make the amount half the 1/2 amount, making it 1/4 the amount... hey! We got it!

We figured out that it takes two half-lives for Carbon-14 to be 1/4 its original amount! Since the duration of a half-life never changes, we can simply multiply 5730 by 2 to find how many years it'd take to achieve two half-lives:

5730 · 2 = 11460

The tree is about 11,460 years old.

And we've solved it! (A quick tip - if you ever encounter a question like this again, you can quickly calculate the number of half-lives in your head depending on the amount remaining that they give you. Just keep halving the amount every half-life! One half-life is 1/2, two half-lives is 1/4, three is 1/8, four is 1/16, and so on and so forth)

If you have any questions about anything I explained here or need clarification on anything, just let me know! Good luck!

- breezyツ


Related Questions

Carbon dioxide has a relatively high solubility in blood plasma, although it has a very low partial pressure. What law describes this phenomenon

Answers

Answer:

The bulk of carbon dioxide is carried chemically combined with the amino acids of hemoglobin as carbaminohemoglobin in the RBCs.

2N₂ + 5 0₂2 N₂O5 What mass of nitrogen is required to react with 5.04 grams of oxygen?​

Answers

Answer:

1.76g of N

Explanation:

5.04g x 1mol/16mol x 2mol/5mol x 14.01g/1mol = 1.76g

How many energy levels does europium have?

Answers

Answer:

6 Energy levels

Explanation:

First Energy Level: 2

Second Energy Level: 8

Third Energy Level: 18

Fourth Energy Level: 25

Fifth Energy Level: 8

Sixth Energy Level: 2

Hope this helps.

2. During which of the following stato changes would the particles in the matter become more spread out?
changing from liquid to gas?
changing from gas to liquid?
changing from gas to solid?

Answers

Answer

changing from liquid to gas

Explanation

changing from liquid to gas

One year, a herd of cattle released 2.44 metric tons of CH4 (methane) into the atmosphere. How many metric tons of carbon did this methane contain

Answers

The mass, in metric tons, of carbon in the methane is 1.83 metric tons

Calculating mass in a substance

From the question, we are to determine the quantity of carbon in the methane

The mass of carbon in the methane can be calculated from

Mass of carbon in the methane = [tex]\frac{Mass\ of\ carbon\ in\ a\ molecule\ of \ methane}{Mass\ of\ a\ molecule\ of \ methane}\times Total\ mass\ of\ the\ methane[/tex]

Mass of carbon in a molecule of methane = 12 g

Mass of a molecule of methane = 16 g

Therefore,

Mass of carbon in the methane = [tex]\frac{12}{16} \times 2.44[/tex]

Mass of carbon in the methane = 1.83 metric tons

Hence, the mass, in metric tons, of carbon in the methane is 1.83 metric tons

Learn more on Calculating mass in a substance here: https://brainly.com/question/4798143

At a research lab, a scientist carelessly pours cultures of living microbes down the drain

Answers

Answer:

that's not good

Explanation:

microbes???? not good for a sewage system

Using one specific example, explain why the human genome project
considered important.

Answers

Answer:

initiated the comprehensive discovery and cataloguing of a 'parts list' of most human genes 

Explanation:

If right you will be marked brainiest :)

Answers

Answer: They are the same species and have the same traits.

Explanation: These horses are well, the same species because they are horses.  They have very similar traits.  

Let me know if this is right!

Why is the? The second ionization energy of sodium is about three times greater than the second ionization energy of magnesium

Answers

Answer:

~Na+1 is already in the preferred form. Because of this, the second ionization energy of sodium is higher than normal. Mg+1 loses an electron to form s2 p6 .

A 50 mL sample is held at 100 kPa. What pressure does it exert when the gas is compressed to 40 L.
Who's Law did you use?​

Answers

Newton's third law

Explanation:

The chemical equation below shows the combustion of methane (ch4). ch4 2o2 right arrow. co2 2h2o the molar mass of oxygen gas (o2) is 32.00 g/mol. the molar mass of carbon dioxide (co2) is 44.01 g/mol. what mass of co2, in grams, will form when 8.94 g o2 completely react? 3.25 grams 6.15 grams 13.0 grams 53.0 grams

Answers

6.15 grams of carbon dioxide is form when 8.94 g of oxygen is completely react.

How we calculate mass from moles?

Mass of any substance will be calculated from moles as :

n = W/M, where

W = required mass

M = molar mass

Given combustion reaction is:

CH₄ + 2O₂ → CO₂ + 2H₂O

Given mass of O₂ = 8.94 g

Molar mass of O₂ = 32.00 g/mole

Moles of O₂ = 8.94 / 32 = 0.279 mole

From the stoichiometry of the reaction, it is clear that:

2 moles of O₂ = produce 1 mole of CO₂

0.279 moles of O₂ = produce 1/2×0.279 = 0.139 moles of CO₂

Molar mass of CO₂ = 44 g/mole

Required mass of CO₂ will be calculated as:

W = n × M

W = 0.139 × 44 = 6.15 grams

Hence, option (2) is correct i.e. 6.15 grams.

To know more about moles, visit the below link:

https://brainly.com/question/15374113

Answer:

Option 2/ B. 6.15 grams on edge.

Explanation:

S/o to the person above me, got it because of them.

During a lab, 1.62g of COCl2 · x H2O were heated. After heating, only 0.88g of COCl2 remained. Calculate the formula of the hydrate.
Show your work.
You have to break down the cobalt chloride and water by finding the mass of each and using empirical formula.

Answers

Answer:

Explanation:

Let the number of moles of water in the required formula be "y".

The final formula should be in the form of : CoCl2 yH2O

1.62 g is the weight of CoCl2 and water in the sample

After heating, the remaining mass represents  the mass the salt only

mass of water in sample = 1.62 - 0.88 = 0.74 g

From the periodic table:

molar mass of cobalt is 59 g

molar mass of chlorine is 35.5

molar mass of hydrogen is 1

molar mass of oxygen is 16

molar mass of formula = 59 + 2(35.5) + 18y = 130 + 18y g

Now we have calculate the mass/molar mass for each part of the formula (salt and water) and equate them to get number of moles of water as follows:

0.88 / 130 = 0.74 / y18

y = 6.07 which is approximately 6 moles

Thus, the final formula is CoCl2 6H2O. This hydrate is called cobalt(II)chloride hexahydrate.

give brainliest.

(c) Graphite is another naturally-occurring form of carbon.
Graphite can be used in pencils because it is soft and can leave marks on paper.
Graphite can also be used as a conductor of electricity.
Explain why graphite is soft and conducts electricity.
Refer to structure and bonding in your answer.
(5)
DO NOT WRITE IN THIS AREA

Answers

Graphite is a fantastic lubricant and a powerful electrical conductor because of these unbound electrons.

What is the purpose of Unbound?

Unbound can serve as a caching server, it can also perform recursion, store records obtained from other DNS servers, and provide an authoritative service, such as if you only have a few zones.

As a result, it can act as a "glue" server or host a small zone with only a few domains, making it ideal for a lab.

Why need to utilize Unbound DNS?

With its harden-glue, access control, maximum randomization for request ID and ports, response scrubbing, case preservation, plus Denial of Service or DoS prevention capabilities, Unbound is feature-rich with DNS Security. These are only a few.

Therefore, graphite is a fantastic lubricant and a powerful electrical conductor because of these unbound electrons.

To know more about Unbound electrons visit:

https://brainly.com/question/14657932

#SPJ1

Burning hydrogen is an example of a chemical reaction. The reaction is
shown in the diagram. Which of the following statements about energy in
this reaction is the most accurate?

Answers

Answer:

Energy is first released then arbsorbed the eventually it dissappears

Explanation:

Which do you think will cool the fastest?
sand
water
air
metal

Answers

The answer is the first one sand

Examine the picture above. What process does it represent?

Answers

Answer:

The formation of water from hydrogen and oxygen

Explanation:

Will give brainliest... what is the [OH-] of a solution whose pOH is equal to 2.86

Answers

Answer:

the pOH of a solution is the negative logarithm of the hydroxide-ion concentration. by this yields a [OH − ] of 1.0 × 10 -10 M. Finally the pOH of the solution equals -log(1.0 × 10 -10 ) = 10.Explanation:

The concentration of hydroxide ion of a solution whose pOH value is equal to 2.86 is 1.38×10⁻³ M.

How do we calculate the concentration of OH⁻?

Concentration of hydroxide ion will be calculated by using the pOH value by using the below equation as:

pOH = -log[OH⁻]

[OH⁻] = [tex]10^{-pOH}[/tex]

Given that value of pOH = 2.86

On putting values we get,

[OH⁻] = [tex]10^{-2.86}[/tex]

[OH⁻] = 0.00138 = 1.38×10⁻³ M

Hence concentration of hydroxide ion is 1.38×10⁻³ M.

To know more about pOH & [OH⁻], visit the below link:
https://brainly.com/question/26984550

what mass of magnesium bromide is produced when 35cm3 of 0.18 mol/dm3 of hydrogen bromide is treated with magnesium nitrate?

Answers

Answer:

C3H8

Explanation:

1 1.5mol

2 0.75mol

3 0.667mol

Questions 1.2

1 16.7mol

2 8.3×10−3mol

Questions 1.3

1 9

2 11

3 12

4 24

5 22

Questions 1.4

1 a) 151.9

b) 162.1

c) 60.0

d) 132.1

e) 388.8

2 a) 0.5mol

b) 2.5mol

c) 0.6mol

d) 2.0mol

e) 0.38mol

3 a) 180.6g

b) 44.46g

Questions 1.5

1 Mr = 277.9 moles of oxygen = 11

2 Mr = 474.3 moles of oxygen = 20

Questions 1.6

1 Cu2S

2 C3H8

3 CaFe2O4

Questions 1.7

1 a) 2H2 + O2 → 2H2O

b) I2 + 3Cl2 → 2ICl3

c) NaOH + Al(OH)3 → NaAlO2 + 2H2O

d) 2H2S + SO2 → 3S + 2H2O

e) 4NH3 + 3O2 → 2N2 + 6H2O

2 a) MgCO3 → MgO + CO2

b) Pb(s) + 2AgNO3(aq) → Pb(NO3)2(aq) + 2Ag(s)

c) Na2O(s) + H2O(l) → 2NaOH(aq)

d) 2FeCl2 + Cl2 → 2FeCl3

e) Fe2(SO4)3 + 6NaOH → 2Fe(OH)3 + 3Na2SO4

Questions 1.8

1 17.0g

2 60.7g

3 51.1%

Questions 1.9

1 1.2dm3

2 Volume of SO2 = 50cm3; mass of sulfur = 0.20g

Questions 1.10

1 a) 2.67moldm−3

b) 0.025moldm−3

c) 0.833moldm−3

2 a) 0.75mol

b) 0.044mol

c) 0.010mol

true or false: A person standing still with two heavy bundles is doing a lot of work

Answers

True: the person would be doing work

The force of gravity is going downwards whereas the person holding the heavy bundles has to exert an upwards force to keep them from falling.

Even though the forces are going in opposite directions, they’re being exerted along the same axis which means that there is work being done.

Which explanations did you include in your response? Check all that apply. The oxidation number of carbon changes from -1 to +4. The oxidation number of oxygen changes from 0 to -2. Carbon is oxidized. Oxygen is reduced. Electrons are transferred from carbon to oxygen.

Answers

Answer:

B, E

Explanation:

Edge

explain the occurrence of oxygen​

Answers

Answer:

Oxygen is one of the most abundant elements on Earth. Oxygen accounts for 20.9% of the atmosphere, 45% of the Earth's crust (as oxide minerals) and also accounts for almost all of the mass of water on Earth (89%). It is found in a huge number of natural minerals including sulfates, phosphates, carbonates and oxides.

Explanation:

Hope this helps

Convert 30.0g of water to moles
please help

Answers

Answer:

1.7

Explanation:

  1 grams Water to mol = 0.05551 mol

30 grams Water to mol = 1.66525 mol

if we round that up the answer is 1.7

Aluminum metal can be recycled from scrap metal by melting the metal to evaporate impurities. a. Calculate the amount of heat needed to purify 1.00 mole of Al originally at 298 K by melting it. The melting point of Al is 933 K. The molar heat capacity of Al is 24 J/(mol K), and the heat of fusion of Al is 10.7 kJ/mol.

Answers

The amount of heat required to purify the Al is 25.94 * 10^3 J

What is heat capacity?

The term heat capacity refers to the amount of heat required to raise the temperature of a substance by 1K. The aluminum was heated from 298 K to 933 K then it melted.

The total heat required is;

H = ncdT + nL

H = (1 * 24 * (933 - 298)) + (1 * 10.7 * 10^3)

H = 15.24 * 10^3  J + 10.7 * 10^3 J

H = 25.94 * 10^3 J

Learn more about heat capacity: https://brainly.com/question/1453843

Which choice describes climate? In March 1971, Canada was hit by a major blizzard and up to 32 inches of snow fell. The U.S. gulf coast was hit by Hurricane Katrina in 2005 and suffered extensive damage. The U.S. gulf coast typically has warm, wet weather and tropical storms during the summer and fall. An extremely dangerous tornado hit Jarrell, Texas in 1997 destroying 40 homes.

Answers

Answer:

Its C

Explanation:

If you look, you can see that it tells you the humidity and the that its warm but it also tells you that it storms a little to and that makes it easier to know the climate but if it just sayed it was warm that wouldn't be enough information

CAN I PLS HAVE BRAINLIEST. I NEVER GET IT. ITS A LITTLE CROWN UNDER MY ANSWER. PLS. ILL GIVE YOU BRAINLIEST JUST PLS

Where does Respiration mainly take place in?

A - Mitochondria
B - The nucleus
C - The cell wall
D - The vacuole

Answers

ANSWER :

Respiration happens in the cells of plants, animals and humans, mainly inside mitochondria, which are located in a cell's cytoplasm.

Write the name of the Formula, Chromium(III) Sulfide

Answers

Answer:

Cr2S3

Explanation : Cr is +3

S is - 2 so when balancing it will give Cr2S3

Somebody help me? my head hurts here

1.between which two points is the car accelerating at the greatest rate?

2.between which two points is the car travelling at a steady speed?

3.what is the acceleration of the car between C and D?

4.between which two points is the acceleration getting bigger and bigger?

5.what is the acceleration of the car between D and F?​​

Answers

Answer 1 :

[tex]\green{\sf{D \: and \: E}}[/tex]

Step-by-step explanation:

As per graph, the highest lines are D and E. They are increasing.

Answer 2:-

[tex]\sf{\blue{B \: and \: C}}[/tex]

Step-by-step Explanation:

It is because the line between B and C is straight, indicating that it is steady.

Answer 3:-

[tex]\sf{\pink{2 \: m/s}}[/tex]

Step-by-step Explanation:

Its because the interval between line CD can be taken as-

[tex]\sf{40-50 = 1 m/s} \\ \sf{50-60 = 2 m/s}[/tex]

Hence, 2 m/s.

Answer 4:

[tex]\sf{\red{A \: and \: E}}[/tex]

Step-by-step Explanation:

We can see from the graph that the change in lines us occurring between initial and final points, i.e., between A and E.

Answer 5:

[tex]\sf{\purple{1m/s}}[/tex]

Step-by-step Explanation:

This is because, we can consider the interval between points D and E as :-

[tex]\sf{60-70=1m/s}[/tex]

A 1.00 l volume of hcl reacted completely with 2.00 l of 1.50 m ca(oh)2 according to the balanced chemical equation below. 2hcl ca(oh)2 right arrow. cacl2 2h2o what was the molarity of the hcl solution? 0.375 m 1.50 m 3.00 m 6.00 m

Answers

6 M is the molarity of the HCl solution with volume 1 liter.

How we calculate molarity?

Molarity (M) of solution is define as the number of moles (n) of solute present in per liter (V) of solution, i.e. M = n/V.

Given chemical reaction is:

2HCl + Ca(OH)₂ → CaCl₂ + 2H₂O

Given volume of HCl = 1 L

Given volume of Ca(OH)₂ = 2 L

Molarity of Ca(OH)₂ = 1.50M

Moles of Ca(OH)₂ = 1.50 × 2 = 3 moles

From the stoichiometry of the reaction:

1 mole of Ca(OH)₂ = react with 2 moles of HCl

3 mole of Ca(OH)₂ = react with 2×3=6 moles of HCl

Molarity of HCl will be calculated by using the above given formula as:

M = 6/1 = 6M.

Hence, option (4) is correct i.e. 6 M.

To know more about molarity, visit the below link:

https://brainly.com/question/16343005

Answer:

D

Explanation:

trust

Type the correct answer in the box. Express your answer to three significant figures. Sodium hydroxide and magnesium chloride react as shown by this equation: 2NaOH MgCl2 → Mg(OH)2 2NaCl. Suppose the reaction begins with 637 milliliters of 1. 35 M sodium hydroxide solution and excess magnesium hydroxide. What is the theoretical yield of magnesium hydroxide if the resulting solution has a volume of 2. 82 liters? Use the periodic table and the polyatomic ion resource. The mass of magnesium hydroxide formed is grams.

Answers

25.07grams is the theoretical yield of magnesium hydroxide if the resulting solution has a volume of 2. 82 liters.

How we calculate the mass from moles?

Mass of any substance will be calculated from moles as:

n = W/M, where

W = given or required mass

M = molar mass

Given chemical reaction is:

2NaOH + MgCl₂ → Mg(OH)₂ + 2NaCl

From the stoichiometry of the reaction, it is clear that:

2 moles of NaOH = produce 1 mole of Mg(OH)₂

1 mole of NaOH = produce 1/2 mole of Mg(OH)₂

Given concentration of NaOH = 1.35M

Given volume of NaOH = 637mL = 0.637L

Moles of NaOH will be calculated as:

M = n/V

n = 1.35M × 0.637L = 0.859 moles

So, 0.859 moles of NaOH = produce 0.859×1/2 = 0.429 moles of Mg(OH)₂

Now, we convert this moles into grams by using the above formula:

0.429 = W/58.31 g/mole

W = 25.07grams

Hence, 25.07grams is the theoretical yield of magnesium hydroxide.

To know more about moles, visit the below link:

https://brainly.com/question/24631381

ii) Adding common salt to distilled water makes it a) Good conductor b) Insulator c) Both a &b a​

Answers

Answer:

Explanation:

Salt + water gives an adequate conductor. It is not absolutely wonderful like silver, but it will conduct electricity to varying degrees depending on the depth of salt water that the conductor is held at.

I'd say A.

Other Questions
what was the problem with the bigger mills? differentiate between loadstone and bar magnet PLEASE HELP ME THANKSSSS Read the conclusion to Paolas rhetorical analysis essay about Martin Luther King Jr.s "I Have a Dream speech. Martin Luther King Jr. successfully argues that the US must end its ongoing segregation and racial injustice by fulfilling the promises of the US Constitution. His artful use of rhetorical devices connects with his audience and rallies them around his ideas for a better future. King accomplishes this primarily through analogy, anaphora, and parallelism. Which revision would most improve Paolas conclusion?creating a hook at the beginning to engage readersexplaining the anaphoras effect in greater detailchanging the first sentence to focus on the examples of rhetoricadding a closing statement to restate the key message What is the simplify of 8/16 Find the circumference of the object. Use $3.14 or 22/7 for Pi. Round to the nearest hundredth if necessary. Write down letters of the circled points and order them by least to greasiest. You will spell a word that describes y way to compare quantities Please help!! Behind x Petroleum lowest boiling point plssssss A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance? Show your work. Name the figure shown. Find the perimeter and area of each polygon. Label and showall steps. What is the slope between (14,-8) and (7,-6) What are the three cities the Allies enter into Morocco in? What change should be made in sentence 1?AChange morning to MorningBChange sat to setC Change have spent to had spentD Insert a comma after preparing Which of the following sentences contains an error?She didn't think the game was very fun. She thought the game was boring. She played the game, and didn't liked it. OShe had played the game before and thought it was boring. how did Rosas one small decisionthat day on the bus make a huge differencein her city? What is the foreign exchange market?A. a market in which players can exchange, buy, and sell currenciesB. a market in which people can purchase foreign goodsC. a market in which people exchange foreign goods and servicesD. a market in which people import goods from developed countries A man bought a bow and arrow for 700, paying three times as much for the bow as for the arrow. How much did the bow cost? Please? 2 problems, one attachment. Thanks to the person who answered this. a bicycle dynamo emits light only when the bicycle is on motion,why