calculate the mass of sodium bicarbonate and mass of sodium carbonate needed to make 50.0 ml of a 0.100 m carbonate buffer with ph

A decrease in temperature during a chemical reaction indicates that the system has lost energy to the surroundings and is because the energy released during the reaction is transferred from the system to the surroundings in the form of heat.

The type of process that causes a decrease in temperature during a chemical reaction is known as an exothermic process. In exothermic reactions, energy is released from the system in the form of heat and transferred to the surroundings, resulting in a decrease in the energy of the system. Exothermic reactions are commonly observed in combustion reactions, where a fuel reacts with oxygen to produce heat and light energy.

It is important to note that the amount of energy released during an exothermic reaction can vary depending on the specific reactants and conditions involved. In some cases, exothermic reactions can release a significant amount of energy, such as in the case of explosive reactions. In other cases, the energy released may be relatively small and not readily apparent, such as in the case of rusting of iron.

In summary, a decrease in temperature during a chemical reaction is an indication of an exothermic process, where energy is released from the system to the surroundings in the form of heat.

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Mammoth Cave NP contains deposits of potassium nitrate (KNO3) that were used in the past to produce saltpeter, an important ingredient in gunpowder. These nitrate deposits were exploited extensively (and virtually exhausted) to support military action during the War of 1812.

Mammoth Cave NP contains deposits of potassium nitrate (KNO3) that were used in the past to produce saltpeter, an important ingredient in gunpowder. These nitrate deposits were exploited extensively (and virtually exhausted) to support military action during the War of 1812.The park is 211.26 square kilometers in size and has approximately 400 miles of surveyed caves. The longest cave system in the world is located here.

Mammoth Cave was established in 1941 as a national park. Since then, scientists have discovered that Mammoth Cave National Park's cave system is among the most biologically diverse in the world. Mammoth Cave National Park has been designated a UNESCO World Heritage Site and a Biosphere Reserve as well. So therefore these nitrate deposits were exploited extensively (and virtually exhausted) to support military action is during the War of 1812.

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4-methylpentane

The response of 4-methyl-2-pentyne with extra hydrogen in the presence of a platinum catalyst is a hydrogenation reaction, which entails the addition of hydrogen atoms across the triple bond of the alkyne. The expected foremost organic product is 4-methylpentane, which is formed through the complete discount of the triple bond to a single bond.

The hydrogenation of 4-methyl-2-pentyne proceeds through a stepwise addition of hydrogen atoms to the triple bond, forming an intermediate alkene and then a saturated alkane. However, the presence of extra hydrogen ensures that the alkene intermediate is quickly decreased to the alkane product, which is the extra thermodynamically secure form.

Therefore, the anticipated main organic product of the hydrogenation reaction of 4-methyl-2-pentyne with extra hydrogen in the presence of a platinum catalyst is 4-methylpentane

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The empirical formula of the compound is Na2S.

To find the number of moles of each element in the compound, we divide the mass of each element by its atomic mass.

The atomic masses of sodium, sulfur, and oxygen are 22.99 g/mol, 32.06 g/mol, and 16.00 g/mol, respectively.

Thus, the number of moles of sodium in the compound is

0.979 g/22.99 g/mol = 0.0425 mol.

Similarly, the number of moles of sulfur and oxygen in the compound are

1.365 g/32.06 g/mol = 0.0425 mol and

1.021 g/16.00 g/mol = 0.0638 mol,

The next step is to determine the empirical formula of the compound. To do this, we need to find the simplest whole number ratio of the atoms in the compound. The simplest whole number ratio of the atoms in the compound is obtained by dividing the number of moles of each element by the smallest number of moles obtained.

In this case, the smallest number of moles obtained is 0.0425 mol, which corresponds to the number of moles of sodium and sulfur in the compound.

.

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The pH of the buffer solution after 0.024 mol of Ba(OH)₂ are added is approximately 4.90.

To solve this problem, we need to use the Henderson-Hasselbalch equation, which relates the pH of a buffer solution to the concentrations of the weak acid and its conjugate base;

pH = pKa + log([base]/[acid])

where pKa will be the dissociation constant of the weak acid, [base] is the concentration of the conjugate base, as well as [acid] is the concentration of the weak acid.

From the given information, we can determine the pKa of the weak acid;

pH = 8.87 = pKa + log([base]/[acid])

pKa = 8.87 - log([base]/[acid])

pKa = 4.83

We can also determine the initial concentrations of the weak acid and its conjugate base.

[base] = 0.49 M

[acid] = 0.45 M

Now, we can use the balanced chemical equation for the reaction of Ba(OH)₂ with BH;

Ba(OH)₂ + 2BH → BaB₂ + 2H₂O

The moles of BH that react with the added Ba(OH)₂ is equal to half the moles of Ba(OH)₂ added, because the stoichiometry of the reaction is 2:1. Therefore, moles of BH consumed = 0.024 mol / 2 = 0.012 mol

The volume of the solution is given as 0.62 L, so the new concentration of BH is;

[acid] = (0.45 M x 0.62 L - 0.012 mol) / 0.62 L

[acid] = 0.441 M

The new concentration of B can be determined from the conservation of mass equation:

[base] + [BaB2] = constant

[base] + 0.012 mol / 0.62 L = constant

[base] = 0.49 M - 0.012 mol / 0.62 L

[base] = 0.470 M

Now, we can use the Henderson-Hasselbalch equation to determine the new pH of the buffer solution

pH = pKa + log([base]/[acid])

pH = 4.83 + log(0.470/0.441)

pH = 4.90

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5.00 moles of Z would be produced when 2.50 moles of X are reacted with Y.

From the balanced chemical equation:

2 X + 3Y → 4 Z

We can see that the molar ratio of X to Z is 2:4 or 1:2.

Therefore, if 2.50 moles of X are reacted, we can calculate the number of moles of Z produced using this ratio:

2.50 moles X × (2 moles Z / 1 mole X) = 5.00 moles Z.

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The pH of the new solution after adding the HCl is 2.82.

How to calculate pH after adding the HCl ?

To calculate the new pH of the buffer solution after adding the HCl, we need to use the Henderson-Hasselbalch equation, which relates the pH of a buffer solution to the pKa and the ratio of the concentrations of the conjugate acid and base.

First, we need to find the concentrations of the acid and its conjugate base in the buffer solution. We know that the total volume of the buffer solution is 1.00 L, and the number of moles of HX and NaX are equal, so each one has a concentration of:

C = n/V = 0.50 mol / 1.00 L = 0.50 M

Since HX is an acid, it will donate a proton (H+) to form its conjugate base (X-). Therefore, the acid and base concentrations in the buffer solution are:

[HX] = 0.50 M

[X-] = 0.50 M

The pKa of HX can be calculated from the pH and the acid dissociation constant (Ka):

pH = pKa + log([X-]/[HX])

4.925 = pKa + log(0.50/0.50)

4.925 = pKa

Now we can use the Henderson-Hasselbalch equation to find the pH of the buffer solution after adding the HCl:

pH = pKa + log([X-]/[HX])

pH = 4.925 + log(0.50/0.50)

pH = 4.925

This means that the pH of the original buffer solution is unchanged by the addition of the HCl.

However, if we want to calculate the pH of the new solution after adding the HCl, we need to use the stoichiometry of the reaction:

HX + HCl -> H2O + XCl

We know that 25.0 mL of 2.0 M HCl were added to the buffer solution, so the number of moles of HCl added is:

n(HCl) = C x V = 2.0 mol/L x 0.025 L = 0.050 mol

Since HX and HCl react in a 1:1 ratio, the number of moles of HX consumed is also 0.050 mol. This leaves us with:

n(HX) = 0.50 mol - 0.050 mol = 0.450 mol

The new volume of the solution is 400 mL + 25.0 mL = 0.425 L. Therefore, the new concentration of HX is:

[HX] = n(HX) / V = 0.450 mol / 0.425 L = 1.06 M

The new concentration of X- can be calculated from the buffer equation:

Ka = [H+][X-] / [HX]

Ka = 10⁻pKa = 10⁻⁴.925 = 7.09 x 10⁻⁵

[H+] = Ka [HX] / [X-] = 7.09 x 10⁻⁵ x 1.06 M / 0.50 M = 0.151 mM

[pH = -log[H+] = 2.82]

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Answer:

mol = 0.75

Explanation:

M = mol/L

1.5 = mol/.5

mol = 0.75

The balanced chemical equation for the neutralization reaction between sulfuric acid and potassium hydroxide is:

H2SO4(aq) + 2KOH(aq) → K2SO4(aq) + 2H2O(l)

From the equation, we can see that one mole of sulfuric acid reacts with two moles of potassium hydroxide. Therefore, we need to calculate the number of moles of potassium hydroxide present in the 30.0 mL of 0.260 M solution:

0.260 mol/L x 0.0300 L = 0.00780 mol KOH

Since the stoichiometric ratio of sulfuric acid to potassium hydroxide is 1:2, we need twice as many moles of sulfuric acid to neutralize the potassium hydroxide:

2 x 0.00780 mol = 0.0156 mol H2SO4

Finally, we can calculate the volume of the 0.235 M sulfuric acid solution required to provide 0.0156 moles of H2SO4:

0.0156 mol / 0.235 mol/L = 0.0664 L = 66.4 mL

Therefore, 66.4 mL of the 0.235 M sulfuric acid solution is required to neutralize 30.0 mL of 0.260 M potassium hydroxide.

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We can use the formula for heat released:

Q = mcΔT

where Q is the heat released, m is the mass of the sample, c is the specific heat of the material, and ΔT is the change in temperature.

Plugging in the given values, we have:

113.8 J = m(0.240 J/g°C)(-45.0°C)

Simplifying:

m = 113.8 J / (0.240 J/g°C * -45.0°C)

m = 106.5 g

Therefore, the mass of the silver sample is 106.5 g.

The balanced reaction that shows incomplete combustion is  2C4H10 + 5O2 → 4CO + 6H2O.

option D.

The balanced equation for incomplete combustion involves a reactant, usually a hydrocarbon fuel, reacting with a limited supply of oxygen to produce carbon monoxide (CO) instead of carbon dioxide (CO2) and water (H2O).

Out of the options given, the balanced equation that shows incomplete combustion is:

D. 2C4H10 + 5O2 → 4CO + 6H2O

This equation shows incomplete combustion because it produces carbon monoxide (CO) instead of carbon dioxide (CO2). The equation is balanced because there are equal numbers of atoms of each element on both the reactant and product sides of the equation.

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The van der Waals parameter 'a' value that should be assigned to CH3CN is 17.58.

To determine the van der Waals parameter (a) value for CH3CN, we must first understand the significance of the van der Waals equation and the parameter "a" itself. The van der Waals equation accounts for the non-ideal behavior of gases by considering the finite size of gas particles and the attractive forces between them.

The "a" parameter represents the strength of the attractive forces between the gas particles.

Generally, larger and more polarizable molecules have higher "a" values due to stronger attractive forces. Now, let's compare the four given gases - CO2, CH3CN, Ne, and CH4.

1. CO2 (carbon dioxide) is a linear, non-polar molecule, but it has a relatively large molecular weight.
2. CH3CN (acetonitrile) is a polar molecule with a cyano group (-C≡N) and a methyl group (-CH3), leading to stronger attractive forces.
3. Ne (neon) is a noble gas with weak attractive forces due to its small size and low polarizability.
4. CH4 (methane) is a non-polar molecule with a smaller size compared to CO2 and CH3CN.

Based on this information, we can roughly rank the gases in terms of their expected "a" values: CH3CN > CO2 > CH4 > Ne.

Now, let's match the given values (0.2107, 2.253, 3.392, 17.58) to the compounds:

1. Ne has the smallest "a" value, so it corresponds to 0.2107.
2. CH4 has the next smallest "a" value, so it corresponds to 2.253.
3. CO2 has a larger "a" value than CH4, so it corresponds to 3.392.
4. CH3CN has the largest "a" value, so it corresponds to 17.58.

Thus, the "a" value assigned to CH3CN should be 17.58.

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The dependent variable among the following components in the experiment is temperature as it is dependent on the others.

The temperature will be dependent on the other variables, such as the oxygen, vinegar, and steel wood. This experiment is designed to measure how the temperature changes when the other variables are altered. Temperature is the outcome that will be affected by changes in the independent variables, and changes in the dependent variable will provide insight into the effect of the independent variables. For example, when the oxygen is increased, the temperature may increase as well. Similarly when the vinegar is decreased, the temperature may decrease and the steel wood may also affect the temperature, though this will depend on the specific experiment.

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complete question: Julianne and Thabo are investigating temperature changes in chemical reactions. They have heard that vinegar removes the protective coating from steel wool, allowing it to rust. When iron combines with oxygen, heat is released. They use a Styrofoam cup with a lid to investigate this report.

Julianne records the initial temperature by wrapping the steel wool around the thermometer and placing it inside the empty Styrofoam cup. She records the temperature after 2 min. Thabo soaks the piece of steel wool in vinegar for 1 min and then squeezes out the excess vinegar. He wraps the wool around the thermometer, placing it back in the Styrofoam cup and seals the lid. He records the temperature after 15 min. The temperature has increased from 22 °C to 26 °C.

what is the dependent variable in this experiment?

A.) oxygen

B.) vinegar

C.) steel wood

D.) temperature

A carbonyl group polar because b. oxygen is significantly more electronegative than carbon.

The carbonyl group is a functional group in organic chemistry consisting of a carbon atom double-bonded to an oxygen atom. C=O is the formula for a carbonyl group, this structure is present in many ketones and aldehydes, as well as carboxylic acids, esters, and amides. Oxygen is much more electronegative than carbon, and as a result, the electrons in the carbon-oxygen double bond are more strongly attracted to the oxygen atom. Because the electrons are attracted to the oxygen atom, the carbon-oxygen bond becomes polarized, with oxygen becoming negatively charged and carbon becoming positively charged.

The carbonyl group is an important functional group in biochemistry since it is found in a variety of biomolecules like carbohydrates, lipids, and nucleic acids. Because of its polarity, it can engage in hydrogen bonding with other functional groups in these molecules, such as hydroxyl groups. A carbonyl group polar because b. oxygen is significantly more electronegative than carbon.

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The concentration of in the cathode's half-cell solution is 5.12 × 10^-6 M if the anode's half-cell is 1 M.

While answering questions on the Brainly platform, a question answering bot should always be factually accurate, professional, and friendly. Additionally, it should be concise and should not provide extraneous amounts of detail,

ignore any typos or irrelevant parts of the question, and use the terms mentioned in the question appropriately.In a concentration cell that was set up at using two hydrogen electrodes, the cell generates a potential of . The question is, what is the concentration of in the cathode's half-cell solution, if the anode's half-cell is ?

The given data is:Potential of the cell, °cell = 0.059 log10 [H+]cathode/[H+]anode= -0.0418 V (negative because H2 gas concentration is higher in the anode than in the cathode)Since we know the value of °cell,

we can calculate the cathode half-cell potential as:

E cathode = °cell - E anode = 0.0008 VAnd then using the Nernst equation, we can find the concentration of H+ in the cathode half-cell as follows:

E cathode = E° - (RT/nF) ln [H+]H+/H2The value of E° at room temperature,

T = 298K is zero, and the number of electrons involved,

n = 2. Hence,0.0008 V = -(0.0592/2) log10[H+]H+/H2[H+]H+/H2 = 5.12 × 10^-6 M.

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Because more energy is released when water and carbon dioxide molecules are formed than when sugar and oxygen bonds are broken, the process of cellular respiration releases energy.

Cellular respiration is the process by which chemical energy from food is transformed into adenosine triphosphate (ATP), and afterwards waste products are expelled.

Through a sequence of chemical processes called cellular respiration, glucose is broken down to create ATP, which may then be used as an energy source for a variety of bodily functions.

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a. To determine the concentration of the unknown acid, you would need to perform a titration with a known concentration of a strong base like NaOH. Follow these steps:

1. Record the volume of the unknown acid solution used.

2. Record the initial and final burette readings of NaOH.

3. Calculate the volume of NaOH used in the titration.

4. Write a balanced equation for the reaction between the unknown acid and NaOH.

5. Use stoichiometry to find the moles of acid reacted.

6. Divide the moles of acid by the volume of the unknown acid solution used (in liters) to find the concentration.

b. To determine the Ka of the unknown acid, you will need additional information, such as the pH at the half-equivalence point (where half of the acid has been neutralized) or the pH and concentration of the acid after a certain amount of NaOH has been added. Then, you can use the following steps:

1. Write the balanced equation for the dissociation of the acid in water.

2. Use the given pH information to find the concentration of H+ ions.

3. Use the stoichiometry of the reaction to find the concentration of the other species in the equation.

4. Write the expression for Ka, which is [products]/[reactants].

5. Plug the concentrations into the Ka expression and solve for Ka.

c. When choosing an indicator for a titration, you should select one whose pH range (the range over which the indicator changes color) coincides with the pH of the equivalence point (where the acid is completely neutralized). You will need to determine the pH of the equivalence point, then choose an indicator that changes color within that pH range.

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To find the volume of ethane , we can use the Ideal gas law. Which states -

[tex] \:\:\:\:\:\:\:\:\:\star\longrightarrow \sf \underline{PV=nRT} \\[/tex]

Where:-

As per question, we are given that-

Now that we have all the required values, so we can put them all in the Ideal gas law formula and solve for Volume -

[tex] \:\:\:\:\:\:\:\:\:\star\longrightarrow \sf \underline{PV=nRT} \\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf 0.9035 \times V= 5.2643\times 0.0821 \times 779.25\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf 0.9035 \times V= 336.791\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf V= \dfrac{336.791}{0.9035}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf V= 372.762......\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\longrightarrow \sf \underline{V= 372.762 \: L}\\[/tex]

Reproduced, transferred their genes to progeny, died from natural causes, fell ill or contracted a disease, became prey for a predator or were devoured by a scavenger, or moved to a new area.

Non-living things include items like rocks, water, the atmosphere, the climate, and natural occurrences like earthquakes and rockfalls. One of the qualities that characterises living beings is their capacity for reproduction.

Its definition includes glass, the sun, water, sand, and rock as non-living objects. They show absolutely no signs of life. Some people define a non-living object as anything that once belonged to a live entity.

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Answer: [He] 2s2 2p3

Explanation: im himithy

The increased use of non-renewable resources, rising pollution levels, global warming, and the possible loss of natural ecosystems are all effects of economic expansion on the environment.

Many human activities such as overcrowding, pollution, the use of fossil fuels, and forestry have an adverse effect on the physical environment. Global warming, soil degradation, poor air quality, even undrinkable water have all been brought on by changes like these.

Several particular environmental problems can be detrimental to people's health and wellbeing. Environmental contamination, air pollution, global warming, pathogenic bacteria, lack of healthcare access, insufficient infrastructure, or poor water quality are some of these problems.

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B. causes the air masses to become warmer. The Gulf Stream is a warm ocean current that flows from the Gulf of Mexico into the Atlantic Ocean.

The Gulf Stream is a powerful ocean current that transports warm water from the Gulf of Mexico into the Atlantic Ocean. This warm water is carried northward along the eastern coast of the United States and across the Atlantic towards Europe. The warm water of the Gulf Stream also has an impact on the atmosphere above it.

As warm water from the Gulf Stream evaporates, it adds moisture to the air above it, making the air warmer and more humid. This process is known as evaporation-induced cooling, and it can have a significant impact on the weather and climate of the regions surrounding the Gulf Stream.

The warm and moist air above the Gulf Stream creates instability in the atmosphere, which can lead to the formation of thunderstorms and other weather events. The Gulf Stream also affects the formation of hurricanes and other tropical storms, as it provides the warm water and moist air needed for these storms to develop.

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(a) The statement that "NO is a secondary pollutant with a long residence time in the atmosphere" suggests that NO may accumulate in the atmosphere over time and contribute to poor air quality. This could be a potential explanation for high levels of NO in areas with poor air quality.

(b) The statement that "NO does not play a significant role in smog formation" suggests that NO may not be a key contributor to poor air quality in areas with smog. This could be a potential explanation for low levels of NO in areas with smog.

(c) The statement that "NO is formed in the lower atmosphere in the morning by the rising sun" suggests that NO may be more prevalent in the atmosphere during certain times of day. This could be a potential explanation for fluctuations in NO concentrations over the course of a day.

(d) The statement that "NO is produced by rush-hour traffic and is quickly oxidized in the atmosphere" suggests that NO may be more prevalent in the atmosphere during rush hour. This could be a potential explanation for higher levels of NO in urban areas during rush hour.

(e) The statement that "NO is quickly absorbed by plants and converted to sugars" suggests that NO may be removed from the atmosphere by vegetation. This could be a potential explanation for lower levels of NO in areas with high vegetation cover.

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Think about an unidentified substance with the formula c h i. it contains 54.53% C, 9.15% H, and 36.32% O. The empirical formula of the compound is C2H4O.

To find the empirical formula of a compound from the given percentage composition, we need to convert the percentages into the number of moles of each element. We can assume a convenient mass for the compound, such as 100 g, and use the molar masses of each element to convert the percentages into moles.

For this unknown compound, if we assume 100 g of the compound, we have:

Mass of C = 54.53 g

Mass of H = 9.15 g

Mass of O = 36.32 g

Using the molar masses of each element (12.01 g/mol for C, 1.01 g/mol for H, and 16.00 g/mol for O), we can convert these masses into moles:

Moles of C = 54.53 g / 12.01 g/mol = 4.54 mol

Moles of H = 9.15 g / 1.01 g/mol = 9.06 mol

Moles of O = 36.32 g / 16.00 g/mol = 2.27 mol

Next, we divide each of the mole values by the smallest mole value to get the smallest whole number ratio of the atoms:

C: 4.54 mol / 2.27 mol = 2

H: 9.06 mol / 2.27 mol = 4

O: 2.27 mol / 2.27 mol = 1

Therefore, the empirical formula of the compound is C2H4O.

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Thymol blue would be a good choice for this titration. As thymol blue has a pH range of 8 to 9.6, its color would change from yellow to green towards the end, making it the most obvious selection out of all of them.

If an indicator changes color at the end point, the end point has been reached and the indicator is being used to measure it. The conclusion of the titration is assumed to be at 8.74. Hence, the pH range of the indicator should be such that at 8.74, the color changes and is visible to the eye. As previously mentioned, a suitable indicator should have a pKin value that is quite near to the anticipated pH at the equivalence point. The choice of the indicator is not very important for a strong acid–strong base titration because of the significant pH shift that takes place at the equivalence point.

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Milk of magnesia is a suspension of magnesium hydroxide in water, and its chemical formula is Mg(OH)2. When this compound dissolves in water, it dissociates into Mg2+ and OH- ions.

The pH of a solution is a measure of its acidity or basicity. A pH of 10.5 indicates that the solution is basic.

To find the hydronium ion concentration, using the relationship between the pH and the hydronium ion concentration:

pH = -log[H3O+]

Solving for [H3O+], shown as

[H3O+] = 10^(-pH)

Substituting the pH of 10.5, we get:

[H3O+] = 10^(-10.5)

[H3O+] = 3.16 x 10^(-11) M

Therefore, the hydronium ion concentration of the saturated solution of milk of magnesia is 3.16 x 10^(-11) M.

Since the hydronium ion concentration is very low, the solution is basic.

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The reducing end of a disaccharide or polysaccharide is not: the end that does not have an anomeric carbon. Therefore, option b is the correct answer.

Option a, the end with an anomeric carbon that can be oxidized, is the reducing end. The anomeric carbon is the carbonyl carbon that is involved in the glycosidic bond. This carbon can be oxidized and can reduce other molecules.

Option c, the end of a chain with free anomeric carbon, is also the reducing end. A free anomeric carbon is not involved in a glycosidic bond, and therefore, it can be oxidized and can reduce other molecules.

Option d, the end whose sugar can take the linear form, is also the reducing end. When the sugar takes the linear form, the anomeric carbon is free and can be oxidized and can reduce other molecules. Therefore, option e is not correct as all of the above options are correct except for option b.

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Answer:

Option B

Explanation:

It would take approximately 17.2 hours for the concentration of N2O5 to decrease by 86.0% in the given vessel.

To calculate the time it takes for the concentration of N2O5 to decrease by 86.0%, we need to use the first-order rate equation:

ln([N2O5]t/[N2O5]0) = -kt

Where [N2O5]t is the concentration of N2O5 at time t, [N2O5]0 is the initial concentration of N2O5, k is the rate constant, and t is the time.

Rearranging the equation to solve for t, we get:

t = (ln([N2O5]t/[N2O5]0))/(-k)

Since the reaction is first-order, the rate constant can be determined from the half-life of the reaction using the equation:

t1/2 = ln2/k

where t1/2 is the half-life.

Given that the concentration of N2O5 decreases by 86.0%, the final concentration ([N2O5]t) is:

[N2O5]t = 0.14[N2O5]0

Substituting the given values into the equation for t, we get:

t = (ln(0.14))/(-k)

To determine k, we need to find the half-life of the reaction. Since the reaction is first-order, the half-life can be calculated using the equation:

t1/2 = ln2/k

Substituting the given concentration of N2O5 and the rate constant into the equation, we get:

t1/2 = (ln2)/k = (ln2)/(2.303*0.108) = 5.45 hours

Finally, substituting the values for k and t1/2 into the equation for t, we get:

t = (ln(0.14))/(-0.108)

t = 17.2 hours

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