A sample taken from a layer of mica in a canyon has 2. 10 grams of potassium-40. A test reveals it to be 2. 6 billion years old. How much potassium-40 was in the sample originally if the half-life of potassium-40 is 1. 3 billion years?.

Answers

Answer 1

Half-life refers to the time needed for half the radioactive nuclei in a sample to decay to a stable isotope. Half-life is an important parameter for understanding nuclear processes. The original amount of potassium-40 in the sample was approximately 6.01 grams.

The given information can be tabulated as follows:

Given Data: Amount of potassium-40 in the sample = 2.10 g

Age of the sample = 2.6 billion years

Half-life of potassium-40 = 1.3 billion yearsTo find:How much potassium-40 was in the sample originally?

Formula Used:The formula to determine the original amount of a radioactive element present in a sample is given by:`N = N0e^(-λt)`

Where,`N` = Final amount of the radioactive element present in a sample.

`N0` = Original amount of the radioactive element present in a sample.

`λ` = Decay constant.

`t` = Time.

To determine the original amount of potassium-40 in the sample, we can use the formula mentioned above.

Substituting the given values in the formula,

we get:

`N = N0e^(-λt)`

Solving the above equation for `N0`, we get:`N0 = N/e^(-λt)`

Substituting the given values in the above formula, we get:N0 = 2.10 g/e^(- 0.693/1.3 × 10^9 years × 2.6 × 10^9 years)

≈ 6.01 Grams

hence, the original amount of potassium-40 in the sample was approximately 6.01 grams.

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Related Questions

what are the 9 properties of minerals and explain each property?​

Answers

Answer:

hardness-Hardness is the ability of a material to resist deformation

luster-the way light interacts with the surface of a crystal

color-the quality of an object or substance with respect to light reflected by the object

streak- the color of the powder produced when it is dragged across an un-weathered surface.

specif gravity-the density of that object divided by the density of water cleavage -the tendency of a mineral to break along smooth planes

fracture-any separation in a geologic formation

tenacity-refers to a mineral's toughness or resistance to breaking or being deformed.

lol sorry that took awhile

A 60.0 kg object is moving east at 8.00 m/s, and then slows down to 4.00 m/s. How much work was done?

–1,440 J
–480 J
1,440 J
2,880 J

Answers

Answer:

A

-1440J

Explanation:

Hello,

This question requires us to calculate the work done on a object to move it from point A to point B

Data

Mass = 60kg

Initial velocity (V1) = 8.0m/s

Final velocity (V2) = 4.0m/s

Workdone on an object is equal to force applied on the object to move it through a particular distance.

Work done = force × distance

Force (F) = mass × acceleration

Distance = s

F = Ma

Work done = M× a × s

But a = velocity (v) / time (t)

Work done = mvs / t

But velocity = distance/ time

Work done = mv × v/

Work done = mv²

Work done = ½mv²

Workdone = ½M(V2² - V1²)

Workdone = ½ × 60 (4² - 8²)

Work done = 30 × (16 - 64)

Workdone = 30 × (-48)

Work done = -1440J

Work done = -1.44kJ

The workdone on the object is equal to -1.44kJ

Answer:

–1,440 J

Explanation:

a on edge 2021

What is Dark Matter? someone pls tell me. grand reward

Answers

Answer:

Dark matter is nonluminous material that is postulated to exist in space and that could any of Several form including weakly interacting particles.

Explanation:

dark matter is basically composed of particles that do not absorb, reflect or emit light, so they can't be detected by observing electromagnetic radiation.

An endothermic reaction
OA. generates
OB. eliminates
OC. None of these
D. absorbs
energy.

Answers

Answer:

D) absorbs energy

If a pea plant is hybrid for height, this means that
a) It has one dominant and one recessive allele
b) it has two of the same allele
PLSSSS HELP ASAP!!

Answers

Answer:

A

Explanation:

By nature, a hybrid has one dominante allele and one recessive allele


How can we use the study of genetics to help determine traits in organisms? Your answer must be in three complete sentences

Answers

Answer:

Genetics is the scientific study of inherited variation. Human genetics, then, is the scientific study of inherited human variation.

Why study human genetics? One reason is simply an interest in better understanding ourselves. As a branch of genetics, human genetics concerns itself with what most of us consider to be the most interesting species on earth

please help its due today..!

please help its due today..!

Answers

Answer:

This all should be correct:

c

a

c

a

Answer:

C, A, B, B

Explanation:

Question 1: C. inner core

Why? Because the inner core is literally the center of the Earth. Meaning it is the hottest part of the Earth.

Question 2: A. crust

Why? The crust is the outer most layer which is the layer we walk on so to speak. The Earth can be broken up into four layers and as said before the crust is the outer part of it. It is actually amounts to less than 1% of Earth's volume.

Question 3: B. basalt

Why? If we were to average the oceanic crust we would get something around six kilometers and this is the thickness. This is mostly made up of basalt.

Question 4: B. outer core

Why? Due to difference in pressure and temperature the outer core tends to release dense matter which sinks while warm (less dense rises). This causes the Coriolis force, resulting from the Earth's rotations.

With the exception of N6-trimethyllysine, the amino acids employed in this study are best categorized as:
A.
acidic and hydrophobic.
B.
basic and hydrophilic.
C.
neutral and hydrophilic.
D.
neutral and hydrophobic.

Answers

It has been observed that the amino acids used, with the exception of N6-trimethyllysine, can be best categorized as neutral and hydrophobic. The term "neutral" refers to those amino acids that have neither acidic nor basic side chains, and thus are not charged.

The term "hydrophobic" refers to amino acids that do not have any charged or polar groups, and thus do not interact well with water molecules. The hydrophobic nature of these amino acids makes them important in protein folding and stability, as they tend to cluster together and form hydrophobic cores within the protein structure.

The neutral nature of these amino acids makes them less reactive than charged or polar amino acids, which makes them less prone to undergo chemical modifications.

The categorization of the amino acids used in this study as neutral and hydrophobic is significant, as it helps us understand the behavior of these amino acids in various biological processes.

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___________ is the least reactive metal.
i. Silver
ii. Iron
iii. Gold
iv. Sodium

Answers

Gold is the least reactive metal

There is a general procedure for recrystall izing your unknown compound using ethanol-water as the solvent pair. Arrange the Filter the crystals. I
Dry the crystals. Allow the solution to cool slowly to room temperature Place the solution inan ice bath and leave for 10-15 min. Dissolve the sample in a small amount of hot ethanol. Add hot water drop by drop until the solution gets a bit cloudy. Add hot ethanol dropwise until cloudiness disappears.

Answers

The general procedure for recrystallizing an unknown compound using ethanol-water as the solvent pair can be arranged as follows:

Dissolve the sample in a small amount of hot ethanol.

Add hot water drop by drop until the solution becomes slightly cloudy.

Continue adding hot ethanol dropwise until the cloudiness disappears.

Allow the solution to cool slowly to room temperature.

Place the solution in an ice bath and leave it for 10-15 minutes.

Filter the crystals.

Dry the crystals.

This procedure involves using a mixture of ethanol and water as the solvent pair, which is a common choice for recrystallization. The steps involve dissolving the sample in hot ethanol, slowly adding water to induce crystallization, and then adding more ethanol to ensure complete dissolution. Cooling the solution in an ice bath helps promote crystallization, and filtering and drying the crystals allows for isolation of the purified compound.

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helooo i need help please :)

helooo i need help please :)

Answers

It is a ,d and c just make sure tho

HURRRYYYY!!!!
Which of the following will lead to a thunderstorm?

HURRRYYYY!!!!Which of the following will lead to a thunderstorm?

Answers

C!!!! The third one!

The atmospheric factors which leads to thunderstorm are moisture, unstable air, and air way for the surface air to rise. Hence, option c is correct.

What is thunderstorm ?

Thunderstorm is a natural phenomenon occurring from the collision of clouds and accompanied with electrical current and lightening. Severe thunderstorms produce convective instability .

This instability of air  brings about a significant negative buoyancy in conjunction with thunderstorm downdrafts. Intense evaporation, negative buoyancy, and a powerful downdraft are produced as the dry air entrains with the cloud's wet air.

Thunderstorms also causes tilting of storms, displaces updraft from downdraft; Creates a vacuum affect at the top of storms and thus lift the air in the surface.

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Given the balanced equation: 2c4h10+13o2=8co2+10h2o How many moles of oxygen gas are required to react completely with 5.0 mall of butane, C4H10(g) A. 0.77 mol B. 33 mol C. 0.15 mol D. 6.5 mol

Answers

Answer:

Option B. 33 mol

Explanation:

The balanced equation for the reaction is given below:

2C₄H₁₀ + 13O₂ —> 8CO₂ + 10H₂O

From the balanced equation above,

2 moles of C₄H₁₀ reacted with 13 moles of O₂.

Finally, we shall determine the number of mole of oxygen, O₂ required to react completely with 5 moles of butane, C₄H₁₀. This can be obtained as follow:

From the balanced equation above,

2 moles of C₄H₁₀ reacted with 13 moles of O₂.

Therefore, 5 moles of C₄H₁₀ will react with = (5 × 13)/2 = 33 moles of O₂.

Thus, 33 moles of oxygen, O₂ is needed for the reaction.

Price increases on goods in the economy signal producers to __________ production.
A.
stop
B.
increase
C.
decrease
D.
maintain

Answers

Answer:

C. decrease

Explanation:

Price increases on goods in the economy signal producers to decrease production.

Producers benefits more when the price of goods and services increases in the market. This makes them have more profit.

To maintain this profit level, they often decrease their production output to create a form of artificial scarcity within the market to sustain the price at which their goods trades.

If the producer increases the amount of goods they produce, this flux of goods can cause a decrease in price as the consumer is favored with a good bargaining power.

Answer:

C

Explanation:

edge 2021

How is ethanol DIFFERENT from gasoline?

A. Ethanol is alcohol; gasoline is fuel.
B. Ethanol becomes a bacteria; gasoline becomes a chemical.
C. Ethanol helps break down yeast; gasoline is a by-product of
yeast.
D. Ethanol is made from oranges; gasoline is made from
petroleum

Answers

The correct answer is A. Ethanol is alcohol; gasoline is fuel.

AgNO3 + Cu
How many oxygen atoms are present?

Answers

the answer is 3 oxygen atoms

1. What are nonrenewable resources?
They are abundant natural resources that humans do not have to recycle or reuse.
O They are artificial resources that humans use but are not able to be recycled or reused.
They are natural resources that are in abundant supply or that can replenish themselves.
They are natural resources that are in limited supply or that take a long time to create

Answers

They are natural resources that are in limited supply or that take a long time to create

2 moles of NO, was placed in an empty I dm' bottle and allowed to reach equilibrium according to the equation:
At equilibrium, 1.2 moles of N,O, dissociated. Calculate the value of the equilibrium constant for the reaction at that
temperature.

Answers

The balanced equation for the dissociation of nitrogen monoxide (NO) is:

2NO(g) ⇌ N2(g) + O2(g)

According to the problem statement, 2 moles of NO were placed in a 1 dm^3 bottle and allowed to reach equilibrium, and at equilibrium, 1.2 moles of NO had dissociated. This means that the initial concentration of NO was:

[NO]initial = 2 mol / 1 dm^3 = 2 M

And the concentration of NO at equilibrium is:

[NO]equilibrium = (2 - 1.2) mol / 1 dm^3 = 0.8 M

Since the stoichiometry of the balanced equation is 2:1:1 for NO, N2, and O2, respectively, the equilibrium concentrations of N2 and O2 will also be 0.6 M.

The equilibrium constant (Kc) can be calculated using the equilibrium concentrations of the reactants and products, raised to the power of their stoichiometric coefficients. Therefore:

Kc = ([N2][O2]) / ([NO]^2)

Substituting the equilibrium concentrations into the equation, we get:

Kc = (0.6 M x 0.6 M) / (0.8 M x 0.8 M)
Kc = 0.5625

Therefore, the value of the equilibrium constant for the reaction at that temperature is 0.5625. Note that the units of Kc depend on the stoichiometry of the balanced equation. Since the stoichiometric coefficients are all 1, the units of Kc in this case are M^-1

What does the period number tell about the energy levels occupied by electrons in an atom?

Answers

The period number tells which is the highest energy level occupied by the electrons

Answer:

Number of energy levels that the element has.

Explanation:

The period number (n) is the outer energy level that is occupied by electrons. The period number that an element is in, is the number of energy levels that the element has.

In two or more complete sentences describe all of the van der Waals forces that exist between molecules of sulfur dioxide, SO2.


In two or more complete sentences describe all of the van der Waals forces that exist between molecules of hydrogen sulfide, H2S

Answers

The van der Waals force is an atomic or molecular interaction that depends on distance. These attractions, which differ from ionic or covalent connections, are relatively weak and consequently more prone to disruption.

Longer distances between interacting molecules result in a rapid disappearance of the van der Waals force. The SO2 molecule have a different electronegativity. Sulfur's electronegativity is 2.5 while oxygen's is 3, but then, the molecule is not symmetrical to balance out the negative imbalance.

This figure demonstrates how SO2 gets twisted as a result of the sulfur's lone pair electrons pressing down on both oxygen molecules.

As a result of SO2's polarity, dipole-dipole interaction occurs.

Van der Waals forces are either immediate or permanent dipole-induced dipoles. Since H2S doesn't have a permanent dipole and isn't an ion, the attraction between H2S molecules will be instantaneous dipole-induced dipole attraction.

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In two or more complete sentences describe all of the van der Waals forces that exist between molecules

Compared with halogens, the alkali metals in the same period has
electronegativity
the same
O larger
O smaller

Answers

Alkali metals have the lowest electronegativities, while halogens have the highest.

which polymers can use to give the same effect of xanthan gum ?
list 4 material and which one could give high viscosity and lower
flocculation

Answers

The four polymers that can be used to give the same effect as xanthan gum are guar gum, locust bean gum, carrageenan, and carboxy methyl cellulose. Among these, guar gum could give high viscosity and lower flocculation.

Polymers are the macromolecules made up of monomers bonded together. These polymers are widely used in various applications due to their diverse properties such as high viscosity, high tensile strength, flexibility, transparency, and many more. Xanthan gum is one of the commonly used polymers that are used as a thickener, emulsifier, and stabilizer in various industries such as food, pharmaceuticals, cosmetics, and many more. Xanthan gum is derived from the bacterial fermentation process, but it is relatively expensive.

Carboxymethylcellulose: Carboxymethylcellulose is a synthetic polymer made by reacting cellulose with chloroacetic acid. It is used as a thickener and stabilizer in various food and cosmetic applications. It has high viscosity and excellent water-binding capacity, making it an ideal alternative to xanthan gum.Out of these four polymers, guar gum could give high viscosity and lower flocculation.

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Sulfuric acid is produced by first burning sulfur to produce sulfur trioxide gas

2S(s) + 3O2(g) → 2SO3(g)

then dissolving the sulfur trioxide gas in water

SO3(g) + H2O(l) → H2SO4(l)

Calculate the mass of sulfuric acid produced if 1.25 g of sulfur is reacted as indicated in the above equations.

Answers

Answer:

3.82 g.

Explanation:

To calculate the mass of sulfuric acid produced from 1.25 g of sulfur, we'll have to balance the chemical equations and use stoichiometry.

Starting with the first reaction:

2S(s) + 3O2(g) → 2SO3(g)

Since 1.25 g of sulfur is reacted, the number of moles of sulfur can be calculated as:

moles = mass / molar mass = 1.25 g / 32 g/mol = 0.03906 mol

Next, using the mole ratio from the balanced chemical equation, we can find the number of moles of sulfur trioxide produced:

2 moles of sulfur produce 2 moles of sulfur trioxide, so:

moles of SO3 = moles of S x (moles of SO3 / moles of S) = 0.03906 mol x (2 mol / 2 mol) = 0.03906 mol

Finally, we move on to the second reaction, the dissolution of sulfur trioxide in water:

SO3(g) + H2O(l) → H2SO4(l)

Using the mole ratio from this balanced equation, we can find the number of moles of sulfuric acid produced:

1 mole of sulfur trioxide reacts with 1 mole of water to produce 1 mole of sulfuric acid, so:

moles of H2SO4 = moles of SO3 x (moles of H2SO4 / moles of SO3) = 0.03906 mol x (1 mol / 1 mol) = 0.03906 mol

The mass of sulfuric acid produced can be calculated using the moles and the molar mass of sulfuric acid:

mass = moles x molar mass = 0.03906 mol x 98 g/mol = 3.82 g

Therefore, if 1.25 g of sulfur is reacted, the mass of sulfuric acid produced is approximately 3.82 g.

When 0.481 g of biphenyl C12H10 undergoes combustion in a bomb calorimeter, the temperature rises from 26.2 degrees Celsius to 30.3 degrees Celsius. Find ΔErxn for the combustion of biphenyl in kJ/mol. The heat capacity of the bomb calorimeter, determined in a separate experiment, is 5.86 kJ/degrees Celsius.

Answers

The given problem is about calculating the change in enthalpy of the combustion of biphenyl in a bomb calorimeter. The heat capacity of the bomb calorimeter, determined in a separate experiment, is 5.86 kJ/degrees Celsius. Let's find ΔErxn for the combustion of biphenyl in kJ/mol.

Solution: Given, Mass of biphenyl, C12H10 = 0.481 temperature change, ΔT = (30.3 - 26.2)°C = 4.1°CTo find the heat evolved in kJ/g, we use the formula = mCΔTwhereq is the heat evolved in kJ/gm is the mass of the substance burnt is the heat capacity in kJ/°CΔT is the change in temperature in °Substituting the given values = 0.481 g × 5.86 kJ/°C × 4.1°Cq = 11.36 kgotla number of moles of biphenyl present in 0.481 g of biphenyl: First, we need to find the molecular weight of biphenyl.

Molecular weight of biphenyl = (12 × 12) + (10 × 1) = 156 gmol-1One mole of biphenyl weighs 156 g0.481 g of biphenyl contain the following number of moles:n = 0.481 g / 156 gmol-1n = 3.08 × 10-3 molΔErxn = q/n = 11.36 kJ / 3.08 × 10-3 mol= 3687.01 kJ/mol Therefore, ΔErxn for the combustion of biphenyl in kJ/mol is 3687.01 kJ/mol.

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The elements of the group IA are termed as alkali metals, because their ___ are alkaline.

Answers

The answer is hydroxides.

The elements of the group IA are termed as alkali metals, because their hydroxides are alkaline.

does increasin the amount of a h3o affect the c6h5coo

Answers

Increasing the amount of H3O+ does not directly affect C6H5COO- (the acetate ion).

\(H3O+\) is a strong acid and acts as a proton donor in reactions. Acetate ions, on the other hand, are weak bases and can accept protons. However, in a typical scenario, increasing the amount of H3O+ does not directly influence the behavior of C6H5COO-. The reactivity of C6H5COO- is primarily determined by its specific reaction partners and the reaction conditions involved.

It's important to note that changes in the concentration of H3O+ may indirectly affect the overall reaction equilibrium or pH, which can influence the behavior of other species, including C6H5COO-. However, the direct impact of H3O+ on C6H5COO- is limited unless they are involved in a specific reaction where the acetate ion acts as a base.

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Base your answer on the information below. Some carbonated beverages are made by forcing carbon dioxide gas into a beverage solution. When a bottle of one kind of carbonated beverage is first opened, the beverage has a pH value of 3. After the beverage bottle is left open for an hour, the hydronium ion concentration in the beverage solution decreases by 10 times of the original concentration. Determine the new pH of the beverage solution.

Answers

The question is incomplete, the complete question is;

Some carbonated beverages are made by forcing carbon dioxide gas into a beverage solution. When a bottle

of one kind of carbonated beverage is first opened, the beverage has a pH value of 3.

After the beverage bottle is left open for several hours, the hydronium ion concentration in the beverage

solution decreases to 1/1000 of the original concentration. Determine the new pH of the beverage solution.

Answer:

6

Explanation:

Recall that

pH= -log[H3O^+]

Hence, [H^+] when the drink was first opened;

3 = -log[H^3O+]

[H^+] = Antilog(-3)

[H30^+] = 1 * 10^-3

Since [H3O^+] decreases to 1/1000 times its original value;

New [H3O^+] =  1 * 10^-3 * 1/1000 = 1 * 10^-6

Hence,

New pH = -log[1 * 10^-6]

New pH = 6

What is the percent composition of YAG (Yttrium Aluminum Garnet). The formula for
YAG is (Y3A15012).

Answers

Answer:   Y  21.38 % , Al  32.44 % and O 46.16 %

Explanation: Molar mass of YAl5O12 is 88.91 + 5·26.98+12·16

= 415.81 g/mol

  m-% ( Y) = 88.91 / 415.81 = 21.38 % ,     m-% (Al) = 5·26.98 / 415.81 =

  32.44 %  , rest is Oxygen

The scientific method is a strict of steps that are always followed in the same order true or false

Answers

False

hope it helps comment if you have any questions hope you have an amazing day

Interactive Practice: Solve Problems Involving Percent Change and Percent Error
Maya and her stepmother are building a tree house. They go online to buy 120 feet of nylon rope.
The website says that the percent error in the length of the rope may be up to 5%. Maya wants to
know how long the rope could be.
What is the shortest possible length of the rope?
feet

I need help with this badly this is a question on iready

Answers

The shortest possible length of the rope is calculated to be 114 feet.

What is percent error?

Percent error is a measure of accuracy of measurement, calculation, or estimate, expressed as percentage of the difference between actual or accepted value and measured, calculated, or estimated value.

If the website says the percent error in the length of rope may be up to 5%, it means that the actual length of rope could be either 5% longer or 5% shorter than advertised length.

Let L be advertised length of the rope. The shortest possible length of the rope would be if the actual length is 5% shorter than advertised length, which means that the actual length of the rope would be: L - 0.05L = 0.95L

Shortest possible length = 0.95 x 120 feet = 114 feet

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