the radioactive isotope 14 c has a half-life of approximately 5715 years. a piece of ancient charcoal contains only 88 % as much of the radioactive carbon as a piece of modern charcoal. how long ago was the tree burned to make the ancient charcoal? (round your answer to the nearest integer.)

Answers

Answer 1

The tree was burned to make the ancient charcoal approximately 17,130 years ago.

We can use the formula for radioactive decay to solve this problem. The formula is:

N = N0 * (1/2)^(t/T)

Where:
N = the amount of radioactive material at a given time
N0 = the initial amount of radioactive material
t = the time that has elapsed since the material was created
T = the half-life of the material

Let's use this formula for both the modern and ancient charcoal:

For modern charcoal:
N = N0
t = 0
T = 5715 years

For ancient charcoal:
N = 0.88*N0
t = ?
T = 5715 years

Now we can set up an equation using the two formulas:

0.88*N0 = N0 * (1/2)^(t/5715)

Simplifying this equation:

0.88 = (1/2)^(t/5715)

Taking the natural logarithm of both sides:

ln(0.88) = (t/5715)*ln(1/2)

Solving for t:

t = (ln(0.88)/ln(1/2))*5715

t ≈ 17,130 years

Therefore, the tree was burned to make the ancient charcoal approximately 17,130 years ago.

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Related Questions

why do water molecules have a stronger attraction than helium?
answer needed before 3:00 June 2nd 2023

Answers

Water molecules have a stronger attraction than helium due to the presence of dipole-dipole interactions resulting from the polarity of the water molecule.

Water molecules have a stronger attraction than helium due to the difference in their intermolecular forces. Intermolecular forces are the attractive forces that exist between molecules and play a crucial role in determining the physical properties of substances.

Water molecules have a polar nature, meaning they have a partial positive charge on the hydrogen atoms and a partial negative charge on the oxygen atom.

This polarity arises from the unequal sharing of electrons in the O-H bonds due to oxygen's higher electronegativity compared to hydrogen. The presence of polar bonds within the water molecule gives rise to a dipole-dipole interaction.

In contrast, helium is a noble gas and exists as individual atoms. Helium atoms are electrically neutral and do not possess a permanent dipole moment.

As a result, helium exhibits weak intermolecular forces known as London dispersion forces or Van der Waals forces. These forces arise due to temporary fluctuations in electron distribution, causing temporary dipoles that induce dipoles in neighboring atoms or molecules.

The dipole-dipole interaction in water is stronger than the London dispersion forces in helium. This is because dipole-dipole forces are more significant when there are permanent dipoles in the molecules.

The stronger attraction between water molecules leads to higher boiling and melting points compared to helium.

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Explain the problem surrounding the ammonia-making process in terms of chemical equilibrium.

Answers

The main problem is the release of heat and thereby reducing yield of Ammonia.

What is chemical equilibrium?

Chemical equilibrium is defined as the state of a reversible chemical reaction where there is no change in net amount of products and reactants involved in it.

What is an exothermic reaction?

Exothermic reaction is one of the chemical reactions that will produces heat during the formation of products.

At the chemical equilibrium, the chemical reaction will be as follows:

\(N_{2}\) + 3\(H_{2}\) → 2\(NH_{3}\) + energy

The above chemical equilibrium equation indicates that energy will be released due to the reaction of nitrogen and hydrogen. The energy release increases the surrounding temperature and thereby it will reduce the yield of the ammonia. Thus it can be indicated as the major problem.

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How will wolf emigration affect a grassland ecosystem that supports rabbits, the wolf's primary prey?

The wolf population will increase.
The producer population will increase.
The rabbit population will increase.
The rabbit population will decrease.

Answers

Answer

Rabbit population will decrease

Why are some isotopes radioactive and some are not?

Answers

Answer: there are atoms that either have too many or too few neutrons or protons in their nuclei. This results in an imbalance between the jedi forces holding them together, which leads to an excess of internal energy. Such atoms are said to be unstable or radioactive.

Explanation:

Which of the following atoms will have the
most similar properties to the atom shown
below?

Which of the following atoms will have themost similar properties to the atom shownbelow?

Answers

Answer:  Atom IV

Explanation:

Atoms that have the same number of valence electrons (belong to the same group of the periodic table) have similar properties. Hydrogen and Helium are exceptions.  The first shell is filled with 2 electrons which makes Helium a Noble Gas and Hydrogen is a gas thus not a Group 1 metal.

The given atom has 2 valence electrons (a group 2 element).

∴ the atoms with similar properties to that of the given atom would also have 2 valence electrons:

I - filled 1st shell thus noble gas ❌

II - 3 valence electrons ❌

III - 4 valence electrons ❌

IV - 2 valence electrons ✅

∴ atom IV has similar properties to the given atom.

Checking my answer:

If we check the periodic table, the atom given is Be (Alkali Earth Metal)

I is He  (Noble Gas)

II is Bo (Group 13)

III is C (Group 14)

IV is Magnesium (Alkali Earth Metal)

Given the following chemical reaction: 2H2(g) + O2(g) → 2H2O(l) What is the stoichiometric mixture?

Answers

2 moles of H2 react with 1 mole of O2 gas, according to the balanced reaction. the stoichiometric ratio of the moles of H2 to the moles of O2 is 2:1 as a result.

How can you determine whether a reaction is stoichiometric?

When all of the reactants are consumed and none are left after the chemical reaction has finished, it is said to have occurred in a stoichiometric chemical reaction.

What does stoichiometry refer to?

Stoichiometry can be summed up as the process of calculating the products and reactants of a chemical reaction. It primarily has to do with numbers. Stoichiometry is a fundamental concept in chemistry that makes it easier to use balanced chemical equations to ascertain the amounts of reactants and products.

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How will you calculate the partial pressure of gas using Dalton's Law of partial pressures?

Answers

The overall pressure exerted by a mixture of non-reactive gases is equal to the sum of the partial pressures of the individual gases, according to Dalton's Law, also known as Dalton's Law of Partial Pressures.

The partial pressure law of Dalton states that

The sum of the partial pressures of the various gases determines the overall pressure that a mixture of gases exerts.

mathematical formula:

P(total) = P1 + P2 +... P (n)

P1 = One gas's partial pressure

P2 is the second gas's partial pressure.

Pn is the partial pressure of n gases.

so to find the patial pressure can be cal culate as follows

P (n)= P(total) - P1 + P2+....

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suppose that for the reaction
PCl5(g) PCl3(g) + Cl2(g)
it is determined, at a particular temperature, that the equilibrium concentrations are [PCl5(g)] = 0.0771 M, [PCl3(g)] = 0.0333 M, and [Cl2(g)] = 0.0483 M. Calculate the value of K for the reaction at this temperature.
-BLANK-

Answers

At a particular temperature, if the equilibrium concentrations are [\(PCl_5\)(g)] = 0.0771 M, [\(PCl_3\)(g)] = 0.0333 M, and [\(Cl_2\)(g)] = 0.0483 M, the value of K for the reaction at this temperature is 0.0208 M.

Suppose that for the reaction \(PCl_5(g) \rightarrow PCl_3(g) + Cl_2(g) \), it is determined, at a particular temperature, that the equilibrium concentrations are

[\(PCl_5\)(g)] = 0.0771 M,

[\(PCl_3\)(g)] = 0.0333 M,

and [\(Cl_2\)(g)] = 0.0483 M.

The value of K for the reaction at this temperature is calculated below. The expression for K is as follows: K = [\(PCl_3\)] [\(Cl_2\)] / [\(PCl_5\)].

K =  (0.0333 M) * (0.0483 M) / (0.0771 M) = 0.0208 M.

Therefore, at the specified temperature, the equilibrium constant for the given reaction is 0.0208 M.

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What happens to a cell when it's in different environments?

Answers

The environments in which cells grow often change rapidly. Chemicals that could pass into cells, either by diffusion through the cell membrane or by the action of transport proteins, and could bind directly to proteins inside the cell and modulate their activities.

In plants and algaewhich of the following is an immediate by-product of photosynthesis?
Starch
O_{2}
C_{6}*H_{12}*O_{6}
H ^ +
C*O_{2}

Answers

The immediate by-product of photosynthesis in plants and algae is O2 (oxygen).

In plants and algae, the immediate by-product of photosynthesis is O2, or molecular oxygen. During the process of photosynthesis, plants and algae capture light energy and use it to convert carbon dioxide (CO2) and water (H2O) into glucose (C6H12O6) and oxygen (O2). This process occurs in the chloroplasts of plant cells, specifically in the thylakoid membranes where the light-dependent reactions take place.

The overall equation for photosynthesis can be represented as:

6 CO2 + 6 H2O + light energy → C6H12O6 + 6 O2

In this equation, O2 is produced as a by-product. It is released into the atmosphere or dissolved in water, depending on the organism. The release of oxygen is essential for sustaining life on Earth as it contributes to the oxygen levels in the atmosphere and supports aerobic respiration in organisms that rely on oxygen for energy production.

Starch (a complex carbohydrate) is not an immediate by-product of photosynthesis but rather a storage form of glucose. Glucose produced during photosynthesis is converted into starch for long-term storage in plants. Starch is stored in various plant parts, such as roots, stems, and seeds, and can be broken down back into glucose when energy is needed.

H+ (hydrogen ions) are involved in the proton gradient formation during the light-dependent reactions of photosynthesis. They play a crucial role in generating ATP (adenosine triphosphate), the energy currency of cells.

CO2 (carbon dioxide) is one of the reactants in photosynthesis. It is taken up from the atmosphere and converted into glucose through a series of enzymatic reactions.

To summarize, this oxygen is released into the environment and is essential for supporting aerobic respiration and maintaining oxygen levels in the atmosphere. Starch, glucose, H+, and CO2 are all involved in photosynthesis but are not the immediate by-products.

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Since tear osmolarity is a function of tear evaporation in either ADDE or EDE, tear hyperosmolarity arises due to evaporation from the ocular surface and, in that sense, all forms of DED are evaporative.

Answers

Tear hyperosmolarity refers to the increased concentration of solutes in tears, which can occur in both aqueous-deficient dry eye (ADDE) and evaporative dry eye (EDE).

In both cases, tear osmolarity is influenced by tear evaporation.
In ADDE, tear hyperosmolarity arises due to a decreased production of tears. When the lacrimal glands fail to produce enough tears, the remaining tears evaporate more rapidly, leading to an increased concentration of solutes in the tears. This results in tear hyperosmolarity.

In EDE, tear hyperosmolarity arises due to increased tear evaporation from the ocular surface. Factors such as a disrupted tear film lipid layer or reduced blinking can lead to increased evaporation, causing an increase in tear osmolarity.It is important to note that while tear hyperosmolarity is associated with both ADDE and EDE, not all forms of dry eye are evaporative. There are other subtypes of dry eye, such as aqueous-deficient and mixed dry eye, where tear hyperosmolarity may not be primarily driven by evaporation.

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How many grams of Iron (III) Oxide is formed from 1.05 grams of Iron and excess oxygen?

Fe + O2 → Fe2O3

Answers

A proportional relationship means that the ratio of ingredients remains the same. Therefore, the sets of ingredients that are in a proportional relationship with the recipe are:

6 Tbsp oil, 1.5 Tbsp vinegar, 1 Tbsp honey (the ratio of oil:vinegar:honey is 2:0.5:0.33)

15 Tbsp oil, 4 Tbsp vinegar, 3 Tbsp honey (the ratio of oil:vinegar:honey is 12:3:2)

24 Tbsp oil, 6 Tbsp vinegar, 4 Tbsp honey (the ratio of oil:vinegar:honey is 12:3:2)

The other options are not in a proportional relationship with the recipe, as the ratio of ingredients does not remain the same.

Which of the following correctly describes a compound? (4 points)
The atoms are chemically bonded together, and they retain their individual physical and chemical properties.

The atoms are not chemically bonded, and there is no set ratio for how the atoms can combine together.

The atoms can only combine in fixed ratios, and they can only be separated by a chemical change.

The atoms do not retain their individual chemical properties, and they can be separated by physical means.

Answers

Explanation:

The atoms are chemically bonded together, and they retain their individual physical and chemical properties.

Answer:

The atoms can only combine in fixed ratios, and they can only be separated by a chemical change.

Explanation:

just took the test the other guys thing was wrong

Which of the following is an example of quantitative data?
A.five eggs in each nest
B.oval-shaped eggs
C.small eggs
D.blue eggs with white specks

Answers

Answer: a, five eggs in each nest
Explanation: quantitative means data that includes numbers

Which of the following statements about water are true 1) water cover 75% of Earth 2) once water is used it can never be reused 3) only 3% of Earth’s water is fresh 4) water comprises the majority of all plants and animals.

Answers

Answer:

I guess the 1st one idk

Yea I don’t know so yea

first to answer correctly gets brainleist! (you dont needa hear that vid thingy tahts just for ppl who cant read or need orial commidations or wtv lol)

first to answer correctly gets brainleist! (you dont needa hear that vid thingy tahts just for ppl who

Answers

I think the answer is c

Answer:

The seasons are a result of the tilt of the earth

How many grams of carbon dioxide are produced from 6.95 moles of oxygen in the following reaction?

2CH4 + 4O2 → 2CO2 + 4H2O

Answers

Answer:

153 g CO₂

Explanation:

To begin, the reaction is not in its simplest form. The coefficients can be divided by two. However, this will not change the answer.

CH₄ + 2 O₂ --> CO₂ + 2 H₂O

You can find the grams of CO₂ by taking the moles of O₂, using the mole to mole ratio of O₂ to CO₂ (via the coefficients), then converting moles of CO₂ to grams. You will need the molar mass of CO₂ since you want to convert it from moles to grams. This is calculated using the values on the periodic table. The ratios should be written in a manner that allows for the cancellation of units. The answer should have 3 sig figs.

12.011 g/mol + 2(15.998 g/mol) = 44.007 g/mol CO₂

6.95 moles O₂          1 mol CO₂           44.007 g CO₂
----------------------  x  -------------------  x  -------------------------  = 153 g CO₂

                                  2 mol O₂             1 mol CO₂

On the periodic table, an element classified as a semimetal (metalloid) can be found in.

Answers

metalloids are found along a zig-zag line between boron and aluminum down to polonium and astatine

Answer: Germanium

Explanation: I jus did it

What are the PEL levels for Sb51

Answers

PEL levels for a particular substance, such as Antimony, may vary depending on the country, jurisdiction, and specific industry or work environment.

What is PEL?

"PEL" stands for "Permissible Exposure Limit," which is a term used in occupational health and safety regulations to denote the maximum amount or concentration of a hazardous substance that a worker may be exposed to over a specified time period without adverse health effects.

Therefore, it is important to refer to the relevant occupational health and safety regulations or guidelines in your specific area or industry for accurate and up-to-date information on the PEL levels for Antimony or any other hazardous substance.

These regulations are typically established by government agencies, such as the Occupational Safety and Health Administration (OSHA) in the United States or the Health and Safety Executive (HSE) in the United Kingdom.

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What property of a metal does the image represent

Answers

Answer:

malleable

Explanation:

The image represent in malleable property of metal.

Final answer:

The image possibly represents the photoelectric effect of a metal, which is when it emits electrons after being exposed to electromagnetic radiation. Metals are also characterized by physical properties such as conductivity, malleability, metallic luster, and metallic bonding.

Explanation:

Based on your question, the image possibly represents the photoelectric effect, a key property of metals. This phenomenon occurs when a metal surface exposed to electromagnetic waves of a certain frequency absorbs radiation and emits electrons. These emitted electrons are called photoelectrons. Metals can also exhibit free electron model behavior, where electrons freely roam within the metal structure.

Metals possess unique physical properties like conductivity, malleability, and metallic luster. Malleability refers to the metal's ability to deform without breaking, while conductivity refers to the metal's ability to transfer heat or electricity. A metallic luster gives metals their characteristic shiny appearance.

Finally, metals are also known for their metallic bonding—a unique force that holds together the atoms within a metallic solid. Metallic bonding gives rise to many useful and varied bulk properties of metals.

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Which is the best analogy of a wave?
A. A wave is like building a ramp.
B. A wave is like shaking a hand.
C. A wave is like water rippling in a pond.
D. A wave is like knocking down a building.

Answers

t h e a s w e r i s d

Answer:

im pretty sure the answer is c.

Explanation:

a wave moves like a ripple so c is the closest answer.

The Lewis structure for NH2OHa. many double bonds b. one double bond c. no double bonds

Answers

As you can see, NH₂OH structure only has simple bonds.

Answer: letter 'c', no double bounds.

The Lewis structure for NH2OHa. many double bonds b. one double bond c. no double bonds

what happens to nitrogen during the process of denitrification?

Answers

Denitrification is the process by which nitrates and nitrites in the environment are reduced to nitrogen gas (\(N_2\)) by removing and returning bioavailable nitrogen to the atmosphere.

Denitrification is a natural process that occurs in the environment and is primarily carried out by certain types of bacteria, such as Pseudomonas, Thiobacillus, and Clostridium. During this process, the bacteria break down nitrates and nitrites into nitrogen gas using a series of oxidation-reduction reactions. The nitrates and nitrites are first converted to nitric oxide (\(NO\)) and nitrous oxide (\(N_2O\)) gases which are then converted to nitrogen gas, which is released into the atmosphere. This process is important in the nitrogen cycle and is essential for the removal of nitrogen from the environment.

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The atomic number of fluorine is 9. How many electrons does an ion of fluorine have if it is represented by the symbol shown below?

19F1-

A. 8 electrons
B. 9 electrons
C. 10 electrons
D. 20 electrons

Answers

See charge on ion is -1 .

Hence it has taken 1 electron

Now first look at EC of Fluorine(F)

\(\\ \bull\sf\dashrightarrow 1s^22s^22p^5\)

Now one electron added .hence no of electrons is 10now

Look at the EC

\(\\ \bull\sf\dashrightarrow 1s^22s^22p^6\)

Or

\(\\ \bull\sf\dashrightarrow [He]\)

Option C is correct.

Given: K for acetic acid is 1.8 X 10–5You are titrating 0.108 M NaOH into 142.0 ml of acetic acid of unknown concentration. You have an indicator that will change color when equivalence is reached. At equivalence, you have added 72.0 ml of the base. Calculate molarity of the acid. What is the pH of the solution at the equivalence point? Now that you know the molarity of the acid, find pH when you mix 50.0ml of the acid with 75.0 ml of the same NaOH solution. Now you are working with different acid and base, both weak. K for the acid is 2.25 X 10-5. You mix 63 ml of 0.275 M acid with 55.0 ml of a weak base of concentration 0.188 M. Find pH

Answers

Answer:

Explanation:0.493 M NaOH means 0.493 mol NaOH/L

mols

mols = ------ x L

L

mols = M x V

In a titration procedure, 40.57 mL of 0.493 M NaOH solution was used. How many mols NaOH did this volume of NaOH solution contain?

mols = M x V

0.493 mols NaOH

mols = ----------------------- x 0.04057 L

L

mols = 0.0200 mols NaOH

When 1 mol of a fuel is burned at constant pressure, it produces 3451 kJ of heat and does 13 kJ of work.

Answers

When 1 mol of a fuel is burned at constant pressure, it releases 3451 kJ of heat and does 13 kJ of work, resulting in 3438 kJ of net energy.

When a fuel is burned at constant pressure, the energy produced can be described using the first law of thermodynamics, which states that the change in internal energy (∆U) is equal to the heat added (q) minus the work done (w).

In this case, 1 mol of the fuel produces 3451 kJ of heat (q = 3451 kJ) and does 13 kJ of work (w = 13 kJ).

To find the net energy produced, you can use the formula: ∆U = q - w.

Plugging in the given values, ∆U = 3451 kJ - 13 kJ, which results in ∆U = 3438 kJ. Therefore, when 1 mol of the fuel is burned, it produces a net energy of 3438 kJ.

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10. There are two bears that both have the same proteins for ear shape in their cells. The bears have
different parents. What can you say about the bears' ear shape?

Answers

Answer:

They will have the same ear shape since their proteins connect in the same ways to determine ear shape.

Explanation:

I majored in Chemistry

Answer:

They will have the same ear shape since their proteins connect in the same ways to determine ear shape.

Explanation:

Which statement best describes what happens as thermal energy from the
sun warms the pavement?
A. The thermal energy absorbed by the pavement is destroyed.
B. The thermal energy that is not absorbed by the pavement is
destroyed.
C. Some thermal energy is absorbed by the pavement, and some is
destroyed.
D. The thermal energy of the sun is transferred to the pavement.

Answers

Answer:

D

Explanation:

The correct answer would be that the thermal energy of the sun is transferred to the pavement.

Thermal energy refers to the internal energy possessed by a system by virtue of the movement of molecules within such a system. In other words, it is the heat energy possessed by a system.

When the thermal energy from the sun warms the pavement, it means that the thermal energy from the sun has been successfully transferred to the pavement. Thermal energy can be transferred by conduction, convection, or by radiation depending on whether the system is a solid, liquid, gas respectively.

The correct option is, therefore, D.

A gallon of water has a mass of 37.85 hectograms. What is the mass in grams?

Answers

A gallon of water has a mass of 37.85 hectograms, which is equal to 3785 grams.

is heating an aluminum pan a chemical or physical reaction​

Answers

Answer: chemical

Explanation: whenever heat is applied, it indicates a chemical change

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