Can someone help me with this

At a temperature of 109° C, the balloon's new volume is roughly 932.6 mL.

The gas particles take in more heat as the temperature rises. They accelerate and advance apart from one another. Hence, an increase in volume is brought on by a rise in temperature.

We can use Charles's Law to solve this question,

V1/T1 = V2/T2

where, V1 = initial volume

T1 = initial temperature

V2 = final volume

T2 = final temperature,

Now, we have to convert the temperatures to the absolute scale, which is Kelvin (K).

T1 = 22 + 273.15 = 295.15 K

T2 = 109 + 273.15 = 382.15 K

Now, we can substitute values;

V1/T1 = V2/T2

720/295.15 = V2/382.15

Solving this equation,

V2 = (720/295.15) x 382.15

V2 = 932.6 mL

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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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Charles's Law-

[tex]\:\:\:\:\:\: \:\:\:\:\:\:\star\longrightarrow\sf \underline{\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}}\\[/tex]

Where:-

As per question, we are given that -

Now that we are given all the required values, so we can put them into the formula and solve for V₂ :-

[tex]\:\:\:\:\:\: \:\:\:\:\:\:\star\longrightarrow\sf \underline{\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf V_2= \dfrac{V_1}{T_1}\times T_2\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf V_2= \dfrac{5.31}{200}\times 300\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf V_2 = 0.02655\times 300\\[/tex]

[tex]\:\:\:\:\:\: \:\:\:\:\:\:\longrightarrow \sf V_2=7.965 \\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf\underline{ V_2 = 7.965\: L}\\[/tex]

Therefore, the final volume of 5.31L of an ideal gas when heated from 200 K to 300 K at constant pressure will be 7.965 L.

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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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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The substance that will give the solution with the lowest electrical conductivity when dissolved in water at equal molar concentrations is C6H12O6 (glucose). The correct option is D.

a. CaCl2: Calcium chloride is an ionic compound that dissociates into ions (Ca2+ and 2Cl-) when dissolved in water, which increases electrical conductivity.

b. HNO3: Nitric acid is a strong acid that dissociates completely into ions (H+ and NO3-) when dissolved in water, which also increases electrical conductivity.

c. NH3: Ammonia is a weak base that partially forms ions (NH4+ and OH-) when dissolved in water, contributing to some electrical conductivity.

d. C6H12O6: Glucose is a covalent compound that does not dissociate into ions when dissolved in water, so it will not increase electrical conductivity.

e. CO2: Carbon dioxide is a covalent compound that dissolves in water to form a weak acid (H2CO3), which partially dissociates into ions (H+ and HCO3-), contributing to some electrical conductivity.

Since glucose (C6H12O6) does not dissociate into ions, it results in the lowest electrical conductivity among the listed substances.

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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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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

Answer: [He] 2s2 2p3

Explanation: im himithy

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 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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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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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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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 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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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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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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Humic substances are recalcitrant organic molecules. Option E is correct.

Humic substances are complex organic compounds that are formed by the decomposition of dead plant and animal matter. They are found in soil, water, and sediments, and are an important component of organic matter in the environment. Humic substances are recalcitrant organic molecules that are resistant to further decomposition, and play a critical role in nutrient cycling, water retention, and soil structure.

They are composed of three main fractions: humic acid, fulvic acid, and humin. Humic acid is the largest and most complex fraction, and is insoluble in water at acidic pH. Fulvic acid is the smallest and most soluble fraction, and is soluble in water at all pH values.

Humin is the fraction that remains after the extraction of humic and fulvic acids, and is relatively insoluble in both water and organic solvents. Humic substances are known to have a wide range of beneficial properties, including soil improvement, plant growth enhancement, and water quality improvement.

Hence, E. is the correct option.

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--The given question is incomplete, the complete question is

"What are humic substances? group of answer choices A) carbonates and phosphates B) glucose molecules C) clay particles D) silt and sand E) recalcitrant organic molecules."--

The volume of stock solution needed is 50mL when a student is set to prepare 250.0 mL of 0.100 M [tex]CuSO_4[/tex] from a 0.500 M stock solution.

Given the initial concentration of [tex]CuSO_4[/tex] solution (M1) = 250mL

The initial volume of [tex]CuSO_4[/tex] solution (M1) = 0.100M

The final concentration of [tex]CuSO_4[/tex] = V2

The final concentration of [tex]CuSO_4[/tex] (M2) = 0.500M

We know that molarity also known as molar concentration, is a measure of the concentration of a solute in terms of moles per liter of solution. It is also useful for comparing different solutions and for calculating the amount of a reactant needed in a reaction.

M1*V1 = M2*V2 = constant such that:

0.25 * 0.100 = 0.500 * V2

V2 = 0.05L = 50mL

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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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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 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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The volume of the result is  9.03 L when 5.00 l of a gas is known to contain 0.965 mol. if the amount of gas is increased to 1.80 mol.

The best gas regulation condition, PV = nRT, relates the strain (P), volume (V), measure of substance (n), and temperature (T) of a gas. Since the temperature is held consistent in this issue, we can utilize the accompanying type of the best gas regulation:

P1V1 = n1RT and P2V2 = n2RT

where P1, V1, n1, and P2, n2, and V2 are the underlying strain, volume, and measure of substance and last tension, volume, and measure of substance, individually.

We are given that the underlying volume V1 is 5.00 L and the underlying measure of substance n1 is 0.965 mol. We are likewise given that the last measure of substance n2 is 1.80 mol. To find the last volume V2, we can revamp the best gas regulation condition and address for V2:

V2 = (n2RT)/P2

We can utilize the underlying circumstances to find the underlying strain, which is:

P1 = (n1RT)/V1

We can then utilize the last measure of substance and the underlying strain to find the last tension, which is:

P2 = (n2RT)/V1

Subbing these qualities into the situation for V2 gives:

V2 = (n2RT * V1)/(n1RT + P2V1)

We can work on this articulation by offsetting the R and T terms, and connecting the given qualities:

V2 = (1.80 mol * 5.00 L)/(0.965 mol + (1.80 mol * 5.00 L * (0.965 mol/5.00 L)))

Subsequent to rearranging, we get:

V2 = 9.03 L

Thusly, the new volume will be 9.03 L when how much gas is expanded to 1.80 mol.

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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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To find the pH of 0.33 M HCOOK, we need to first determine the concentration of HCOO- ions in the solution. When HCOOK dissolves in water, it dissociates to form HCOO- and K+ ions.

Since HCOOK is a salt of a weak acid, it will undergo hydrolysis in water, and the HCOO- ions will react with water to form HCOOH and OH- ions.

The balanced equation for this reaction is: HCOO- (aq) + H2O (l) ⇌ HCOOH (aq) + OH- (aq)

Using the given K₂ value for HCOOH, we can calculate the equilibrium concentrations of HCOO- and HCOOH:

K₂ = [HCOOH][OH-] / [HCOO-]

1.78 x 10⁻⁴ = [HCOOH][OH-] / [0.33]

[HCOOH][OH-] = 5.874 x 10⁻⁵

Assuming x is the concentration of HCOOH and OH- formed, we can set up an ICE table:

HCOO⁻ (aq) + H2O (aq) = HCOOH (aq) + OH^- (aq)

I 0.33 M 0 0

C - x x x

E 0.33 - x x x

Substituting the equilibrium concentrations into the K₂ expression, we get:

1.78 x 10⁻⁴ = x⁻² / (0.33 - x)

Since x is small compared to 0.33, we can approximate (0.33 - x) as 0.33:

1.78 x 10⁻⁴ = x⁻² / 0.33

Solving for x, we get x = 2.49 x 10⁻³ M

So, [HCOOH] = [OH-] = 2.49 x 10⁻³ M

To calculate the pH, we can use the equation: pH = 14 - pOH

pOH = -log[OH-] = -log(2.49 x 10⁻³) = 2.60

Therefore, pH = 14 - 2.60 = 11.40 (rounded to two significant figures)

Hence, the pH of 0.33 M HCOOK is 11.40.

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The gas will have a final pressure of 26.8 kPa.

The pressure of a gas is inversely related to its volume at constant temperature, as well as its number of moles, according to Boyle's law.Using the ideal gas law, the final pressure can be calculated as follows:

[tex]P_1V_1=P_2V_2[/tex]

[tex]P_1[/tex]= the gas's initial pressure is 209 kPa.

[tex]P_2[/tex] =gas's final pressure =?

[tex]V_1[/tex] = 10.0 L, which is the gas's initial volume.

[tex]V_2[/tex] =78.0 L, which is the gas's final volume.

Now that all the needed variables have been entered, we can apply this formula to determine the final gas pressure.

209 kPa*10.0L= [tex]P_2[/tex] *78.0L

[tex]P_2 =26.8 kPa[/tex]

Therefore, the final pressure of the gas is 26.8kPa.

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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]

The Na+ ion concentration (molarity) in this solution is b) 0.634 M

To find the Na+ ion concentration (molarity) in the solution, first, determine the molar concentration of [tex]Na_{2} SO_{4}[/tex], then account for the fact that each [tex]Na_{2} SO_{4}[/tex] molecule contains two Na+ ions.

1. Convert the mass of Na2SO4 to moles:
45.0 mg [tex]Na_{2} SO_{4}[/tex] * (1 g / 1000 mg) * (1 mol / 142.04 g) = 0.000317 mol Na2SO4

2. Since there are 2 Na+ ions in each[tex]Na_{2} SO_{4}[/tex] molecule:
0.000317 mol [tex]Na_{2} SO_{4}[/tex] * 2 = 0.000634 mol Na+

3. Divide moles of Na+ by volume of the solution in liters:
0.000634 mol / 0.001 L = 0.634 M

So, the Na+ ion concentration (molarity) in this solution is 0.634 M. The correct answer is (b) 0.634.

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The chemical reaction between oxygen and nitrogen dioxide has the following balanced chemical equation: 2Nitrogen dioxide + Oxygen -> 2Nitrogen dioxide

Hence volume of oxygen gas measured at 0oC and 1atm, needed to burn completely 1L of propane gas under the same conditions is 5L.

According to the equation, 2 moles of Nitrogen dioxide and 1 mole of Oxygen combine to form 2 moles of Nitrogen dioxide.

We must first determine how many moles of Nitrogen dioxide 55.2 grams will produce:

mass / molar mass equals moles of Nitrogen dioxide.

Nitrogen dioxide moles are equal to 55.2 g/46.0055 g/mol.

1.200 mol Equals 1 mole of Nitrogen dioxide.

We just require half as many moles of Oxygen since 1 mole of Oxygen produces 2 moles of Nitrogen dioxide:

1.200 moles of Oxygen are equal to 0.600 moles when divided by two.

Now, we can calculate the volume of Oxygen needed using the ideal gas law:

PV = nRT

P equals pressure where= 0.890 atm

V = volume (in liters)

n = number of moles = 0.600 mol

R = gas constant = 0.08206 L·atm/mol·K

T = temperature = 10.0 + 273.15 = 283.15 K

Solving for V:

V = nRT / P

V = (0.600 mol)(0.08206 L·atm/mol·K)(283.15 K) / 0.890 atm

V = 14.2 L

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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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