Help!! Rearrange the following with the smallest on top and largest on the bottom. Universe Solar System Earth's Moon Sun Earth Milky Way Galaxy​

Answer: A! The soup will become saltier because evaporation removes the water and leaves the salt behind.

Explanation:

Just finished the test and got a 90%! <3

Answer:

A

Explanation:

The mass of 3.15 mol of AgNO₃ is 533.6 grams, the mass of 0.0901 mol of CaCl₂ is 10.02 grams, and the mass of 11.86 mol of H₂S is 404.5 grams.

To calculate the mass in grams of each of the given substances, we need to use the molar mass of each compound. The molar mass of AgNO₃ (silver nitrate) is 169.87 g/mol, the molar mass of CaCl₂ (calcium chloride) is 110.98 g/mol, and the molar mass of H₂S (hydrogen sulfide) is 34.08 g/mol.

To calculate the mass of 3.15 mol of AgNO₃, we can use the following formula:

mass = moles x molar mass
mass = 3.15 mol x 169.87 g/mol
mass = 533.6 g

Therefore, the mass of 3.15 mol of AgNO₃ is 533.6 grams.

Similarly, to calculate the mass of 0.0901 mol of CaCl₂, we can use the formula:

mass = moles x molar mass
mass = 0.0901 mol x 110.98 g/mol
mass = 10.02 g

Therefore, the mass of 0.0901 mol of CaCl₂ is 10.02 grams.

Finally, to calculate the mass of 11.86 mol of H₂S, we can use the formula:

mass = moles x molar mass
mass = 11.86 mol x 34.08 g/mol
mass = 404.5 g

Therefore, the mass of 11.86 mol of H₂S is 404.5 grams.

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Answer:

The answer is A: Is the smallest whole unit of matter

The term that might be used to describe the concentration of the Kool-Aid solution containing 25 grams of sucrose in 100 ml of water at a particular temperature is "mass/volume concentration."

This is because the concentration is expressed in terms of the mass of the solute (sucrose) dissolved in a given volume of the solution (water). The usual unit for mass/volume concentration is grams per liter (g/L), although it can also be expressed in other units such as milligrams per milliliter (mg/mL) or percent by mass (g/100g).

Kool-Aid is a brand of flavored drink mix that is popular in the United States and other countries. It is typically sold as a powder that is mixed with water and sugar to make a sweet, fruity drink.

The Kool-Aid powder contains a variety of ingredients, including citric acid, calcium phosphate, and artificial flavorings and colorings. When mixed with water and sugar, these ingredients dissolve to form a solution that is ready to drink.

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To solve this problem, we can use the Clausius-Clapeyron equation, which relates the vapor pressure of a substance at two different temperatures to the molar heat of vaporization:

ln(P2/P1) = (ΔHvap/R)((1/T1) - (1/T2))

where:

P1 and P2 are the vapor pressures at temperatures T1 and T2, respectively,

ΔHvap is the molar heat of vaporization,

R is the ideal gas constant, and

T1 and T2 are the corresponding temperatures in Kelvin.

Given:

ΔHvap = 64.27 kJ/mol

P2 = 6 * P1 (vapor pressure 6 times higher)

T1 = 317 K

Let's solve for T2:

ln(P2/P1) = (ΔHvap/R)((1/T1) - (1/T2))

ln(6) = (64.27 kJ/mol / R)((1/317 K) - (1/T2))

Rearranging the equation:

(64.27 kJ/mol / R)((1/317 K) - (1/T2)) = ln(6)

Substituting the value of R (ideal gas constant) as 8.314 J/(mol·K):

(64.27 kJ/mol / 8.314 J/(mol·K))((1/317 K) - (1/T2)) = ln(6)

Simplifying the equation:

7.742(1/317 K - 1/T2) = ln(6)

Now, let's solve for T2:

1/317 K - 1/T2 = ln(6) / 7.742

1/T2 = 1/317 K - ln(6) / 7.742

T2 = 1 / (1/317 K - ln(6) / 7.742)

Calculating T2:

T2 ≈ 608.5 K

Therefore, at approximately 608.5 K (Kelvin), the vapor pressure will be 6.00 times higher than it was at 317 K.

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Answer:

Cobalt lose 3 electrons and donate 12 electrons.

Explanation:

In the periodic table,cobalt has nine electrons .It has lost 3 electrons,so it is only six left.Once it forms the complex,each ammonia donates a pair of electrons.

The hot pack has a 0.868 J/g°C heat capacity.

To solve this problem, we can use the formula:
q = mcΔT

where q is the heat transferred, m is the mass of the object, c is the specific heat capacity, and ΔT is the change in temperature.

First, let's find the heat transferred by the hot pack to warm up the water:
q = mcΔT
q = (30.0 g)(c)(85°C - 25°C)
q = 20400c J

Next, let's find the heat transferred by the hot pack to warm up the insulated pouch and the food:
q = mcΔT
q = (30.0 g)(c)(40°C - 25°C)
q = 450c J

The total heat transferred by the hot pack is the sum of these two values:
q total = 20400c J + 450c J
q total = 20850c J

Finally, we can use the heat transferred by the hot pack to solve for its specific heat capacity:
q total = mcΔT
20850c J = (30.0 g)(c)(85°C - 25°C) + (30.0 g)(c)(40°C - 25°C)
20850c J = 24000c J
c = 0.868 J/g°C

Therefore, the heat capacity of the hot pack is 0.868 J/g°C.

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According to the question the concentration of sulfur trioxide 0.0054mol/L.

Trioxide is a chemical compound made up of three atoms of oxygen. It can exist as a solid, liquid or gas depending on the temperature and pressure conditions. It has a formula of O₃ and is also known as ozone. Trioxide is a powerful oxidizer and is corrosive to many materials, particularly organic compounds.

The concentration of sulfur trioxide in this reaction can be calculated using the mass balance equation. The equation is as follows:
Mass of Sulfur Trioxide (g) = (Mass of Sulfur (g) x 2) / Molecular Mass of Sulfur Trioxide
In this case, the mass of sulfur trioxide = (6.5g x 2) / 80.06g = 0.163g
Therefore, the concentration of sulfur trioxide = 0.163g/30.2g = 0.0054mol/L

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Complete Question:
If 6. 5g of sulfur reacted with oxygen to produce sulfur trioxide. What is the concentration to sulfur trioxide 2SO_2 +30_2→ 2SO_3?

Answer:

Option A.

2Na + 2H2O —> 2NaOH + H2

Explanation:

To know which option is correct, we shall do a head count of the number of atoms present on both side to see which of them is balanced. This is illustrated below below:

For Option A:

2Na + 2H2O —> 2NaOH + H2

Reactant >>>>>>> Product

2 Na >>>>>>>>>>> 2 Na

4 H >>>>>>>>>>>> 4 H

2 O >>>>>>>>>>>> 2 O

Thus, the above equation is balanced.

For Option B:

2Na + 2H2O —> NaOH + H2

Reactant >>>>>>> Product

2 Na >>>>>>>>>>> 1 Na

4 H >>>>>>>>>>>> 3 H

2 O >>>>>>>>>>>> 1 O

Thus, the above equation is not balanced.

For Option C:

2Na + H2O —> 2NaOH + H2

Reactant >>>>>>> Product

2 Na >>>>>>>>>>> 2 Na

2 H >>>>>>>>>>>> 4 H

1 O >>>>>>>>>>>> 2 O

Thus, the above equation is not balanced.

For Option D:

Na + 2H2O —> NaOH + 2H2

Reactant >>>>>>> Product

1 Na >>>>>>>>>>> 1 Na

4 H >>>>>>>>>>>> 5 H

2 O >>>>>>>>>>>> 1 O

Thus, the above equation is not balanced.

From the illustrations made above, only option A is balanced.

In a highly basic solution with a pH of 13, the dominant form of glycine would be NH2—CH2—COO−. The correct option is B).

In a highly basic solution with a pH of 13, glycine, which is an amino acid, undergoes deprotonation. Deprotonation is a process in which a molecule loses a proton, and as a result, its pH increases. When glycine undergoes deprotonation, the NH3+ group on the amino acid loses a proton, and the resulting molecule is NH2—CH2—COO−. This means that the dominant form of glycine in a highly basic solution with a pH of 13 is NH2—CH2—COO−, which is option B.

The reason for this is that in a highly basic solution, there are a large number of hydroxide ions (OH−) present. These hydroxide ions readily accept protons from glycine's NH3+ group, causing it to lose its positive charge and become NH2. The resulting molecule, NH2—CH2—COO−, is negatively charged and stable in the highly basic solution.

In summary, in a highly basic solution with a pH of 13, the dominant form of glycine is NH2—CH2—COO−, which is option B. This is because the NH3+ group on the amino acid loses a proton in the presence of hydroxide ions, resulting in a negatively charged and stable molecule.

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Answer:

Water is a remarkable substance, and its unique properties are largely due to the presence of polar covalent bonds and hydrogen bonds in its structure. These characteristics play a crucial role in the physical and chemical properties of water, making it essential for life as we know it.

Explanation:

The polar covalent bonds in water arise from the unequal sharing of electrons between oxygen and hydrogen atoms. This results in the oxygen atom having a partial negative charge (δ-) and the hydrogen atoms having partial positive charges (δ+). These charges create polarity within the water molecule, leading to the formation of hydrogen bonds.

Hydrogen bonds occur when the partially positive hydrogen atom of one water molecule is attracted to the partially negative oxygen atom of another water molecule. These hydrogen bonds are relatively weak individually, but when present in large numbers, they contribute to the cohesion, surface tension, and high boiling point of water.

The importance of these bonds is manifold. The cohesion between water molecules due to hydrogen bonding enables water to form droplets, have a high surface tension, and flow freely, facilitating transport within organisms and in the environment. Additionally, hydrogen bonding leads to the high specific heat capacity and heat of vaporization of water, making it an effective regulator of temperature in living organisms and ensuring stable environmental conditions.

Furthermore, hydrogen bonds play a crucial role in the unique properties of water as a solvent. The polar nature of water allows it to dissolve a wide range of substances, including ionic compounds and polar molecules, facilitating various biological processes such as nutrient transport and chemical reactions in cells.

The amount of heat gained by the water is 500 calories. Thus, option D is correct.

Given:

Mass of water (m) = 100 g

Change in temperature (ΔT) = 30°C - 25°C = 5°C

The specific heat capacity of water (c) is approximately 1 calorie/gram°C.

Now, the amount of heat gained by the water,

Q = mcΔT

Where:

Q is the heat gained or lost by the substance

m is the mass of the substance

c is the specific heat capacity of the substance

ΔT is the change in temperature

Plugging in the values into the formula:

Q = 100 × 1 × 5

Q = 500 calories

Therefore, the amount of heat gained by the water is 500 calories.

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Answer:

i know im painfully late but the answer is "the saturation point of a solution is measured in moles."

Explanation:

The relationship between concentration and mole is the number of particles of solute in a solution measured in terms of moles. Therefore,  option (D) is correct.

The mole is used to calculate the quantity amount of any substance. Moles of any substance can be determined by dividing the mass of the substance by its molar mass. Mole is useful to determine how many solute particles are present in a given solution.

Moles and molar mass are related to each other, as the concentration of substances can be calculated by using the number of moles of the solute.

The concentration of a solution is a measurement of the amount of solute per unit volume of solution. In chemistry, concentration is most commonly expressed in terms of molarity, which is equal to moles per liter solution.

Therefore, the correct option is option D.

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Answer:

17.9g/ml

Explanation:

Seven squares represent seven f-subshell orbitals with magnetic quantum number values of -3, -2, -1, 0, +1, +2, +3.

The paramagnetic nature is represented by a single electron in the seventh orbital.

This quantum number describes the spatial orientations of electrons.

It defines the orientation of an orbital in space of a given energy(n) and shape using magnetic quantum numbers (l). It divides the subshell into orbitals made up of electrons.

It is represented by the symbol ml. Each subshell contains 2l+1 orbitals. The value of lies between -l and +l, where l is the azimuthal quantum number.

Orbitals with l=0, s-subshell, and ml = 0 = 1

P-subshell ml = -1, 0, +1 = 3 orbitals for l=1.

When l=2, the d-subshell ml = -2, -1, 0, +1, +2 = 5 orbitals.

For l=3, the f-subshell ml are -3, -2, -1, 0, +1, +2, +3 = 7 orbitals.

These orbitals are represented as squares in orbital notations of an atom, with electrons represented by upward and downward arrows.

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Answer:

4. The amount of caffeine in the drinks

5. The heart rate of the participants of the experiments

6. Water

7. i) The volume of drink taken should be constant

ii) The frequency of taking their drink is constant

iii) The time of drinking by the brothers is constant

Explanation:

In the question, Jeffery intends to find the caffeine drink that will result in the heart rate increasing most

The variables (varieties) of drinks tested by Jeffery = Pepsi, espresso, and water

Drink variable arranged by the order of increasing Caffeine content are presented as follows;

Caffeine content of water < Caffeine content of Pepsi < Caffeine content of espresso

The triplet with the double shot of espresso = The triplet with the highest heart rate

4. The independent variable is the variable which is suspected to be the cause of the specified observation

Therefore, in the question, the independent variable are the drinks with different amount of caffeine

5. The dependent variable is the effect or the outcome of the independent variable

The dependent variable in the question is the heart rate of the subjects in the study

6. The control group is the independent variable or input that is expected to give the minimum effect or output compared to other independent variables in the study such that the control group does not contain the suspected cause of the observation or effect under investigation

The control group (or variable) in the question is water which does not contain caffeine

7. Three constants that all three brothers should be doing are;

i) The three brothers should be taking a constant or the same quantity of their preferred drink

ii) The frequency at which they take their drinks should be constant

iii) The time at which the brothers take the drink should be the same

Metallic elements exist in a solid-state and they are opaque, have a shiny surface, good conductors of electricity and heat, malleable and ductile, and are dense. The structure of metals is formed by atoms that are held together by metallic bonds. These atoms have loosely bound valence electrons that can be shared between the neighboring atoms.

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The equilibrium concentrations of N2O₄ and NO₂ after the addition of 1.00 mol NO₂ to a 1.00 L solution are 0.5 M and 3.0 M, respectively.

The reaction N2O4 ⇌ 2NO2 is given. After the addition of 1.00 mol NO2 to a 1.00 L solution, we are to determine the equilibrium concentrations of N2O4 and NO2.

Initial moles of NO2 = 1.00 mol

Initial concentration of N2O4 = 1.5 M

Using the equation N2O₄ ⇌ 2NO₂, the initial concentration of NO₂ can be calculated as follows:

Initial concentration of NO₂ = (0 × 2)/1.5 = 0 M

From the equation N2O₄ ⇌ 2NO₂, it is known that 1 mole of N2O₄ yields 2 moles of NO₂.

Therefore, the number of moles of N2O₄ that dissociate can be determined:

Initial moles of N2O₄ = (1.5 - x)

Total moles of NO₂ = (2 + x)

2 + x = 3.5 moles

x = 1.5 moles

Hence, 1.5 moles of N2O₄ dissociate to form 3.0 moles of NO₂, leaving 0.5 moles of N2O₄ remaining in equilibrium.

The concentrations of N2O₄ and NO₂, the formula for molar concentration is used:

Concentration = Number of moles / Volume of solution

Concentration of N2O₄ = 0.5 moles / 1 L = 0.5 M (as 0.5 moles of N2O₄ remains)

Concentration of NO₂ = 3.0 moles / 1 L = 3.0 M (as 3.0 moles of NO₂ is formed)

Therefore, the equilibrium concentrations of N2O₄ and NO₂ after the addition of 1.00 mol NO₂ to a 1.00 L solution are 0.5 M and 3.0 M, respectively.

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The statement that best describes a structural similarity between the two molecules shown in Figure 1 that is relevant to their function is that Both molecules contain nucleotides that form base pairs with other nucleotides, which allows each molecule to act as a template in the synthesis of other nucleic acid molecules. The correct option is C.

This is because both molecules shown in Figure 1 are nucleic acids, which means they are composed of nucleotides that contain a nitrogenous base, a five-carbon sugar, and a phosphate group. The nitrogenous bases in nucleotides can form complementary base pairs with the nitrogenous bases in other nucleotides through hydrogen bonding. This base pairing allows the nucleotides to join together to form a single strand of nucleic acid, such as DNA or RNA.

The structural similarity between the two molecules that is relevant to their function is the ability to form base pairs. This is because both molecules act as templates for the synthesis of other nucleic acid molecules.

In DNA replication, for example, one DNA molecule serves as a template for the synthesis of a new DNA molecule, with the complementary base pairing between nucleotides ensuring that the new DNA molecule has the same sequence as the original. Similarly, in transcription, RNA is synthesized from a DNA template with complementary base pairing between nucleotides ensuring that the RNA molecule has a sequence complementary to the DNA template.

Therefore, the ability of nucleotides to form base pairs is essential for the function of nucleic acids in the storage and transmission of genetic information.

Therefore, the correct option is C.

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The concentration of cyclopropane after 235.0 min is 0.0221 M.

The reaction is first order in cyclopropane, which means that the rate of the reaction is proportional to the concentration of cyclopropane. The first-order rate law can be written as:

Rate = k[Cyclopropane]

where k is the rate constant and [Cyclopropane] is the concentration of cyclopropane.

To solve for the concentration of cyclopropane after a certain time, we can use the integrated rate law for a first-order reaction:

ln([Cyclopropane]t/[Cyclopropane]0) = -kt

where [Cyclopropane]t is the concentration of cyclopropane at time t, [Cyclopropane]0 is the initial concentration of cyclopropane, k is the rate constant, and t is the time.

Plugging in the given values:

k = 3.36×\(10^−5 s^−1\) (given)

[Cyclopropane]0 = 0.0445 M (given)

t = 235.0 min = 14100 s (converted to seconds)

ln([Cyclopropane]t/0.0445) = -3.36×\(10^−5\) × 14100

ln([Cyclopropane]t/0.0445) = -0.5976

[Cyclopropane]t/0.0445 = \(e^-0.5976\)

[Cyclopropane]t = 0.0221 M

Therefore, the concentration of cyclopropane after 235.0 min is 0.0221 M.

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Glycogen is a branched polymer of glucose that serves as the main energy storage molecule in animals, including humans. It is primarily stored in the liver and muscle tissue, where it can be quickly broken down to release glucose for use by the body.

In muscle tissue, glycogen breakdown is initiated by the hormone adrenaline, which signals the muscle cells to activate an enzyme called glycogen phosphorylase. This enzyme cleaves glucose molecules from the glycogen polymer by breaking the alpha-1,4 glycosidic bonds that link them together. The resulting product is glucose-1-phosphate, which can be further processed to release free glucose.

The structure of glycogen is highly branched, with many short chains of glucose linked together by alpha-1,4 glycosidic bonds, and occasional branching points created by alpha-1,6 glycosidic bonds. This branching structure allows for rapid and efficient breakdown of glycogen, since glycogen phosphorylase can work simultaneously on many different chains.

Overall, the breakdown of glycogen in muscle is an important process for providing energy to the body during physical activity. By breaking down glycogen into glucose-1-phosphate and ultimately glucose, the body can generate ATP, the primary source of energy for cellular processes.

Glycogen breakdown in muscle, also known as glycogenolysis, is a process where glycogen, a branched polymer of glucose, is broken down into glucose molecules to provide energy. The structure of glycogen consists of glucose units connected by α-1,4-glycosidic bonds, with branches formed by α-1,6-glycosidic bonds.

The nature of the breakdown reaction involves cleaving the α-1,4-glycosidic bonds, releasing glucose-1-phosphate as the main breakdown product. This is then converted to glucose-6-phosphate, which can enter glycolysis for energy production.

The key enzymes involved in glycogenolysis are glycogen phosphorylase, which cleaves the α-1,4-glycosidic bonds, and debranching enzyme, which helps remove the α-1,6-glycosidic branch points. These enzymes work together to efficiently break down glycogen and provide energy for muscle activity.

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Answer:

\(10^{-7} m\)

Explanation: just took the test; picture below:)

A solution is defined as a homogeneous mixture made up of two or more non-reacting substances. The [H⁺] for a neutral solution is 10⁻⁷ M . The correct option is A.

A solution which is neither acidic nor basic and contains equal amount of hydrogen ion and hydroxide ion concentration. The distilled water is an best example of a neutral solution. It always has a pH 7.

The pH of a solution is defined as the negative logarithm of hydronium ion concentration in moles per litre. It can be given as:

pH = - log [H₃O⁺]

For pure water or neutral solution at 298 K

[H₃O⁺] = [OH⁻] = 1 × 10⁻⁷ mol L⁻¹

The pH of acidic solution is more than 7 and for basic solution the pH will be greater than 7.

Thus the correct option is A - 10⁻⁷ M .

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Answer:

B) 0.6M

Explanation:

               I apologize in advance if it is not correct :l

The (M1V1= M2V2) is given for you to plug in the correct numbers so let's jot this down.

                    (M1*V1= M2*V2)

so they give us 6M which would be our (M1), from this we can also conclude that 5mL is also V1; ( if you notice the M1's and V1's are always found next to eachother). This leads us to our 50mL, this would be our V2 because the volume went from 5mL to 50mL. Now lets put this in order based on what we know.

M1= 6M                                (M1*V1= M2*V2)

V1= 5mL

M2= ?

V2= 50mL

now we plug in what we know into the equation to find the unknown (M2)

                   (6M*5mL= M2*50mL)

now we could do the long math, but I don't think your on brainly to do the hard way. so lets keep it simple!

                   We are going to put the 50mL under the (6M*5mL) for division.

                             \(\frac{(6M*5mL)}{(50mL)}\) This is honestly MUCH easier, than manually answering. you just put that in the calculator and it'll give you B) 0.6M

   honestly though I might not know what I'm doing cuz im currently doing my test and decided to answer this question ;)

        Good Luck!

A typical solvent for NMR spectroscopy of organic compounds is deuterated chloroform.

What is CDCl3?

Chloroform (CHCl3) is a derivative of CDCl3, in which the hydrogen atom ("H") is switched to the heavy hydrogen isotope deuterium ("D").

CDCl3 is used because of the following two reasons

In order to stabilise the magnetic field strength, contemporary NMR spectrometers evaluate the solvent's deuterium absorption. The deuterium receiver detects a field fluctuation through a change in the observation frequency and can adjust the field intensity accordingly because the observation frequency is field dependant.

Deuterated solvents are used in place of common 1H-containing solvents to prevent the massive solvent absorption that would otherwise ruin the 1H-NMR spectra because there is always a lot more solvent in the sample than substance of interest.

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The percentage of O2 will react is 0.97%.

The rate of reaction at equilibrium is determined by the equilibrium constant (Kc) value; that is, the higher the Kc value, the more products are formed. Kc is calculated by taking the ratio of product and reactant concentrations at equilibrium.

The chemical equation is N2 (g)+O2 (g)⇋2NO (g)

The reaction's equilibrium constant is Kc = 4.10104.

The solution contains 0.867 mol of N2 and 0.867 mol of O2.

The container has a volume of V=0.769L.

The initial concentration of

N2 = 0.967/0.769 M = 1.13 M

O2 = 0.867/0.769 M = 1.3 M

For the table, refer image

Now we write this same reaction's equilibrium constant expression.

\(K_{c} = \frac{[NO]^{2} }{[N_{2} ] . [O_{2} ]} \\\\4.10 * 10^{-4} = \frac{(2y)^{2}}{(1.13 - y) . (1.13 - y)} \\\\1.277 - 2.26y + y^{2} = 9756y^{2} \\\\9755y^{2} + 2.26y - 1.277 = 0\\\)

     y = 0.011 M

So,

Now we know that the amount of O2 reacting is y = 0.011 M

and the percentage is 0.011/1.13 * 100%

                                                      = 0.97%

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Answer:

reaction

Explanation:

elements react to form products

If 13 % of the carbon-14 in a sample of cotton cloth remains, what's the approximate age of the cloth?

To solve a half-life problem we usually use this formula:

amount remaining = initial amount (1/2)^n

Where n is the number of half-lives. We can replace n for T/Thalf:

amount remaining = initial amount (1/2)^(T/Thalf)

Where t is the age or time elapsed and Thalf is the half-life or our isotope. The half life of C-14 is 5730 years. Then:

Thalf = 5730 years

Let's supose that the cotton cloth originally had 100 g of C-14. If 13 % remains, the amount remaining is 13 g. So:

amount remaining = 13 g initial amount 100 g

Rearranging the formula we get:

amount remaining = initial amount (1/2)^(T/Thalf)

amount remaining/initial amount = (1/2)^(T/Thalf)

ln (amount remaining/initial amount) = ln [(1/2)^(T/Thalf)]

ln (amount remaining/initial amount) = (T/Thalf) *ln (1/2)

T = Thalf * ln (amount remaining/initial amount) /ln (1/2)

Now we can replace the given values:

T = 5730 years * ln(13 g/100g) / ln(1/2)

T = 5730 years * ln(0.13)/ln(0.5)

T = 5730 years * 2.94

T = 16825 years

Answer: the approximate age of the cloth is 16825 years.