a sample of xe takes 75 seconds to effuse out of a container. an unknown gas takes 37 seconds to effuse out of the identical container under identical conditions. what is the most likely identity of the unknown gas?

The amount of a substance in a specific volume of solution is known as its molarity (M). The number of moles of a solute per liter of a solution is known as molarity. The volume of the solution in milliliters is 69.3 mL.

Since most reactions take place in solutions, it's critical to comprehend how the substance's concentration is expressed in a solution. There are numerous ways to express how many chemicals are in a solution.

The letter M stands for molarity, one of the most often used units of concentration. The number of moles of solute contained in 1 liter of solution is how it is defined.

M = number of moles/volume in L

number of moles = Mass / Molar mass

Molar mass of Cu(NO₃)₂ = 187.55 g/mol

n = 6.55 / 187.55

n = 0.034 mol

0.490 = 0.034 / V

V = 0.0693 L

1 L = 1000 mL

0.0693 L = 69.3 mL

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The concentration of FeCl₃ is 0.447M.

To calculate this, we must first determine the number of moles of FeCl₃ in the solution. The molar mass of FeCl₃ is 162.2 g/mol, so the number of moles of FeCl₃ is (given weight)/(Molar mass) =0.123 moles.

Next, we need to calculate the total volume of the solution, which is given= 275 mL.

To calculate the concentration, we divide the number of moles of FeCl₃ (0.123 moles) by the total volume of the solution (275 mL). We can then convert mL to L by dividing by 1000, so the total volume of the solution is 0.275 L.

This gives us a concentration of:

Concentration= (No. of moles)/(Volume in L)

=(0.123 moles/0.275 L)

=0.447M

Therefore, The concentration of FeCl₃ in a solution prepared by dissolving 20.0 g of FeCl3 in enough water to make 275 mL of solution is 0.447M.

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The following is true of a hydrocarbon is e. All of these

Hydrocarbon compounds are the simplest carbon compounds composed of carbon and hydrogen atoms that can form ring structures, are used as fuel for combustion reactions, and contain double or triple bonds.

The common characteristics of hydrocarbons are that they produce steam, carbon dioxide, and heat during combustion, and oxygen is required for the combustion reactions to occur. This compound is used as a fuel source. In everyday life we encounter many carbonate compounds, such as kerosene, gasoline, natural gas, and plastics. Other types of hydrocarbons such as propane and butane are used in Liquified Petroleum Gas and some materials for making medicine and clothing.

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Answer:

The net ionic equation for the neutralization reaction of any strong acid with any strong base is always the same because both the strong acid and the strong base completely dissociate in water into their respective ions, and the reaction between them always results in the formation of water and a salt.

For example, when hydrochloric acid (HCl) is neutralized by sodium hydroxide (NaOH), the following reaction occurs:

HCl (aq) + NaOH (aq) → NaCl (aq) + H2O (l)

In this reaction, both HCl and NaOH completely dissociate into their respective ions in water:

HCl (aq) → H+ (aq) + Cl- (aq)

NaOH (aq) → Na+ (aq) + OH- (aq)

The net ionic equation for this reaction is:

H+ (aq) + OH- (aq) → H2O (l)

As you can see, the net ionic equation is the same for any strong acid and any strong base, since the reaction always involves the combination of H+ and OH- ions to form water. The identity of the cations and anions in the salt formed will vary depending on the specific acid and base used, but the overall reaction and the resulting net ionic equation will always be the same.

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For the incomplete Reaction (below), the mass and charge of the missing product are 0 and -1. The missing product is a beta particle where a neutron in the carbon nucleus split into a proton and an electron that was released.

Beta particle emission, also known as beta decay, is a type of radioactive decay in which a beta particle is emitted from the nucleus of an atom.

A beta particle is a high-energy, high-speed electron or positron that is released from the nucleus as a result of the transformation of a neutron into a proton or a proton into a neutron.

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The value of the gas constant, R, in units of L atm/mol K is 0.0821 L atm/mol K.

The ideal gas law is described by the ideal gas equation,

PV = nRT,

which expresses the relationship between pressure, volume, temperature, and the number of moles of gas.

The gas constant, R, is a constant that relates these variables for a given quantity of an ideal gas at constant pressure and volume. Its value depends on the units used to express pressure, volume, temperature, and the number of moles of gas.

For the most common units, R has a value of 0.0821 L atm/mol K. This is equivalent to 8.31 J/mol K or 1.99 cal/mol K. The value of R is often used in solving problems involving the ideal gas law, such as determining the pressure, volume, or temperature of a gas sample under different conditions.

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20,908.6 g of precipitate were generated.

Lead (II) nitrate and Potassium iodide react to form Lead (II) iodide and Potassium nitrate.For this reaction, the chemical equation is balanced as follows:

[tex]2 Pb(NO_3)_2 + 2 KI \rightarrow 2 PbI_2 + 2 KNO_3[/tex]

To calculate the amount of precipitate produced, we first need to calculate the amount of moles of Lead (II) nitrate and Potassium iodide.

Amount of Lead (II) nitrate = 626 mL x (0.110 mol/L) = 68.86 mol

Amount of Potassium iodide = 429 mL x (3.4 mol/L) = 1458.6 mol

Since the reaction has a 2:2 mole ratio, the amount of moles of Lead (II) iodide produced is 68.86 mol.

Now, we can calculate the mass of the precipitate produced.

Mass of precipitate = 68.86 mol x (303.4 g/mol) = 20,908.6 g

Therefore, the amount of precipitate produced is 20,908.6 g.

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You will need to take 24 mL of the concentrated solution and add it to 76 mL of solvent to prepare 100 mL of a 0.9 M diluted solution.

The given data is as follows:

concentrated stock  (C1)= 3.8 m

diluted  solution (C2) = 0.9 m

Total available solution (V2)= 100ml

To find out the volume of the concentrated solution needed, we must use the formula

V1 x C1 = V2 x C2

By substituting the values we can get,

V1 x 3.8 M = 100 mL x 0.9 M

V1 = (100 mL x 0.9 M) / 3.8 M

V1 = 23.68 mL

Rounding to the nearest whole integer as mentioned we get:

V1 = 24 mL

Therefore, we can conclude that you will need to take 24 mL of the concentrated solution.

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Molality is used as a concentration scale in this experiment instead of molarity because it is not affected by temperature changes.

Molarity is a measure of the number of moles of a substance dissolved in a liter of solution, and its value can vary with temperature changes. On the other hand, molality is a measure of the number of moles of solute per kilogram of solvent and is not affected by temperature changes. This makes it a better choice of concentration scale in experiments where temperature fluctuations could otherwise affect the accuracy of results.

In this experiment, molality is used to ensure accurate results. By using molality instead of molarity, the experimenter is able to account for temperature changes that could affect the outcome of the experiment, resulting in a more reliable and accurate set of results.

Thus, Molality is used as a concentration scale in this experiment instead of molarity to avoid temperature-related discrepancies.

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The four traditional meteorological seasons, which are based on the annual temperature cycle and the location of the Earth in its orbit around the sun, split the year into four seasons of three months each. The following describes these seasons:

Here are two reasons why meteorological seasons were needed:

Consistency: Based on the annual temperature cycle, meteorological seasons offer a consistent method of dividing the year into four separate times. This makes it simple to compare weather patterns from one year to the next and to monitor long-term weather pattern changes over time.

Ease of communication: By dividing the year into four seasons based on set calendrer months, it is simpler for people to discuss the weather and make appropriate plans for their daily activities. Because January falls within the winter season according to the meteorological calendar, it is simple to know what kind of weather to anticipate when someone states, "I'm going skiing in January."

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Answer: The Ka of the weak acid with a concentration of 0.058 m and a pH of 1.80 is 0.0016.

The Ka of a weak acid is the product of the concentration of the hydrogen ion and the concentration of the conjugate base, divided by the concentration of the weak acid. The Ka of an unknown weak acid with a concentration of 0.058 m and a pH of 1.80 can be calculated as follows:

Ka = ([H+]*[A-])/[HA]

Ka = (10^(-1.8)*10^(-1.8))/0.058

Ka = 0.0016

Therefore, the Ka of the weak acid with a concentration of 0.058 m and a pH of 1.80 is 0.0016.


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The equation for the ionization of a weak acid in water is HA + H₂O ⇌ H₃O⁺ + A⁻, and the equilibrium constant expression for this reaction is K = [H₃O⁺ ][A⁻]/[HA].

The ionization of a weak base in water is B + H₂O ⇌ OH⁻ + BH+, and the equilibrium constant expression for this reaction is K = [OH⁻][BH⁺]/[B].

Weak acids and bases partially dissociate into their ions in aqueous solutions. For a weak acid, HA, the equilibrium expression for its ionization is HA + H₂O ⇌  H₃O⁺  + A⁻, and the corresponding equilibrium constant expression is K = [ H₃O⁺ ][A-]/[HA].

The same process happens with a weak base, B, where the equilibrium expression is B + H₂O ⇌ OH⁻ + BH⁺, and the corresponding equilibrium constant expression is K = [OH⁻][BH⁺]/[B]. Thus, the equations for the ionization of both weak acids and bases and the corresponding equilibrium constant expressions can be

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The concentration required for the same osmotic pressure is 0.019 molL⁻¹.

The osmotic pressure of an aqueous solution is determined by the concentration of the solute particles present in the solution. To create an aqueous solution of Ca(NO₃)₂ with the same osmotic pressure as 3.08m KCl (1.36 atm), we must first determine the molarity of the solution.

The osmotic pressure can be calculated using the Van 't Hoff equation:

Osmotic Pressure (Π) = iMRT

where i is the Van 't Hoff factor (3 for Ca(NO₃)₂, as it dissociates into 3 ions), M is the molarity of the solution, R is the ideal gas constant (0.0821 L•atm•mol-1•K-1), and T is the absolute temperature (in Kelvin).

Thus, we can rearrange the equation to solve for M:

M = Π/(iRT).

Plugging in the values for Π (1.36 atm), i (3), R (0.0821 L•atm•mol⁻¹•K⁻¹), and T (298K), we get:

M = 1.36/(3*0.0821*298)

M = 0.019 molL⁻¹.

Thus, 0.019 molL⁻¹ is the molarity of the Ca(NO₃)₂ solution that would be necessary to create an aqueous solution with the same osmotic pressure of 1.36 atm as the 3.08m KCl solution.

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The amino acid will travel 32.9 mm on the chromatography strip whose retention factor (Rf) = 0.50.

The Rf (Retention Factor) value of an amino acid is a measure of its distance traveled on a chromatography strip compared to the distance traveled by the solvent.

To calculate the distance traveled, we use the formula:

Rf = distance traveled by the amino acid/distance traveled by the solvent.

In this case, the Rf value is 0.50 and the distance traveled by the solvent is 65.8 mm.

Therefore, the distance traveled by the amino acid is 0.50 x 65.8 mm = 32.9 mm.

It is important to remember that Rf values are relative, meaning that a higher Rf value represents a higher distance traveled compared to the solvent. In this case, since the RF value is 0.50, the amino acid traveled a lower distance than the solvent.

In conclusion, the amino acid will travel 32.9 mm (0.50 x 65.8 mm) on the chromatography strip where the solvent traveled 65.8 mm and the Rf is 0.50.

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Answer:
To calculate the number of atoms of H and C in 0.160 mol of C6H14O, we need to first determine the number of moles of each element present in C6H14O.

The molecular formula of C6H14O shows that there are 6 carbon atoms, 14 hydrogen atoms, and 1 oxygen atom in each molecule of C6H14O.

The molar mass of C6H14O can be calculated as:

Molar mass of C6H14O = (6 × atomic mass of C) + (14 × atomic mass of H) + (1 × atomic mass of O)

= (6 × 12.01 g/mol) + (14 × 1.01 g/mol) + (1 × 16.00 g/mol)

= 86.18 g/mol

Therefore, 0.160 mol of C6H14O has a mass of:

Mass = molar mass × number of moles

= 86.18 g/mol × 0.160 mol

= 13.79 g

Now we can calculate the number of atoms of H and C in 0.160 mol of C6H14O.

Number of atoms of H:

Number of moles of H = 14 × 0.160 mol = 2.24 mol

Number of atoms of H = 2.24 mol × Avogadro's number

= 2.24 mol × 6.022 × 10^23/mol

= 1.35 × 10^24 atoms of H

Therefore, there are 1.35 × 10^24 atoms of hydrogen in 0.160 mol of C6H14O.

Number of atoms of C:

Number of moles of C = 6 × 0.160 mol = 0.96 mol

Number of atoms of C = 0.96 mol × Avogadro's number

= 0.96 mol × 6.022 × 10^23/mol

= 5.78 × 10^23 atoms of C

Therefore, there are 5.78 × 10^23 atoms of carbon in 0.160 mol of C6H14O.

Explanation:

When considering the trends in ionization energies, we would expect: potassium to be more reactive than sodium.

This is due to the fact that potassium has a lower ionization energy than sodium. Because potassium is larger and has more electron shielding than sodium, its valence electron is more easily removed. This is the cause of the lower ionization energy for potassium.

The amount of energy required to remove an electron from a neutral atom is referred to as ionization energy. Low ionization energy implies that the element's valence electrons are more readily removed, indicating that it is more reactive. Because potassium has a lower ionization energy than sodium, it is more reactive than sodium.

Taking a closer look at potassium and sodium, we can see that potassium is in group 1 of the periodic table, whereas sodium is in group 2. As we go down a group in the periodic table, ionization energies typically decrease. This is because the number of electron shells increases, making it easier for electrons to be removed.

Potassium, as a result, has a lower ionization energy than sodium, making it more reactive.

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The given statement "A mole of copper atoms has more atoms than a mole of lead atoms," is false beacuse a  mole of copper atoms and a mole of lead atoms both contain the same number of atoms.

A mole of any substance contains the same number of particles, which is approximately  particles, also known as Avogadro's number. This number is a constant that does not change based on the identity of the substance.

Therefore, a mole of  mole of copper atoms and a mole of lead atoms both contain the same number of atoms, which is approximately  atoms. The mass of a mole of copper atoms and a mole of lead atoms would be different because the atomic mass of copper and lead is different. Copper has an atomic mass of 63.55 g/mol while lead has an atomic mass of 207.2 g/mol.

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Magma is becoming more active underneath the volcano, which could lead to an eventual eruption. Option A is the correct choice.

If the surface around a volcano is swelling, it indicates that there is an increase in pressure from magma rising beneath the surface. This is often a sign of increased volcanic activity, which can eventually lead to an eruption. A few centimeters of swelling may not necessarily indicate an imminent eruption, but it does suggest that the magma is becoming more active and may lead to an eruption in the future.

Therefore, the most likely conclusion that the scientist would make based on this data is that magma is becoming more active underneath the volcano, which could lead to an eventual eruption. Therefore, option A is correct.

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Answer: I have selected the gemstone turquoise from the United States. Turquoise is a semi-precious gemstone composed of copper aluminum phosphate. It is found in the deserts of Nevada, Arizona, Colorado, and New Mexico. Turquoise has a long history of use, with some pieces found in Ancient Egyptian tombs and Native American jewelry. Turquoise is still used today for making jewelry, figurines, and inlays for furniture. It is also often used to decorate clothes and other items.

Turquoise is created through the process of sedimentary precipitation, which involves the accumulation of minerals in slow-moving water. This process takes thousands of years, and is further shaped by the elements, such as air and water, which break down the mineral and change its color. It can also be artificially altered to improve its color.

In everyday life, turquoise is primarily used for jewelry, but it is also thought to possess healing properties. In some cultures, turquoise is believed to bring good luck and is used to ward off evil spirits. Turquoise has been a popular choice for making jewelry and decorative objects since ancient times. It is a beautiful, vibrant gemstone with a wide range of colors and patterns, which makes it a highly sought after material.

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True. The localized concentration of base from the droplet is higher than the rest of the solution, which is why the indicator turns pink. This phenomenon is known as titration.

Titration or volumetric analysis is a quantitative analytical method used to determine the concentration of a solution of an unknown substance by reacting it with a solution of a known concentration.

Titration includes a controlled reaction between the solution to be tested (the analyte) and the standard solution, which is the titrant. The titrant is typically used to measure the concentration of acids and bases in a sample of a solution.

In a titration, the base or the acid is slowly added to the unknown acid or base, the two are then reacted to form water and salt. The indicator is colorless or a pale color when the titrant is added to the unknown solution.

As the reaction between the titrant and the unknown solution proceeds, the titrant is added dropwise.

If the indicator is added too soon or too much, the solution turns dark pink, as the concentration of the base from the droplet is higher than the rest of the solution.

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The burning of 1 gram carbohydrate release 16,736 J of heat energy.

Burning a 1 gram carbohydrate sample raised the temperature of the 500 gram water bath by 8°C, to calculate how much heat energy was released by the carbohydrate sample, we can use the specific heat capacity of water which is 4.18 J/g°C.

The heat energy released by the carbohydrate sample can be calculated using the following equation:

Heat energy (J) = mass of water (g) × specific heat capacity of water × ΔTHeat energy

In this case, the calculation is as follows:

Heat energy (J) = 500 g x 8°C x 4.184 = 16,736 J

Therefore, burning a 1 gram carbohydrate sample raised the temperature of the 500 gram water bath by 8°C and released 16,736 J of heat energy.

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The pH of the solution is 9.95.

The reaction that explains this is given as NH4+ + OH- → NH3 + H2O

The pH of a solution with equal amounts of NH4Cl and NH3 is 12.21.

To solve this problem, we need to first write out the balanced chemical equation for the reaction between NH4Cl and NH3:

NH4Cl + NH3 ⇌ NH4+ + NH2Cl

Next, we need to write out the equilibrium expression:

Kb = [NH4+][OH-]/[NH3]

Since we are given the concentration of NH4Cl and NH3, we can use the initial concentrations to calculate the equilibrium concentrations of NH4+, NH2Cl, and NH3:

[NH4+] = 0.1 M × (0.1 L / 0.18 L) = 0.056 M

[NH2Cl] = 0.056 M

[NH3] = 0.2 M × (0.08 L / 0.18 L) = 0.089 M

Using the equilibrium expression and the value of Kb, we can solve for the concentration of hydroxide ions:

Kb = [NH4+][OH-]/[NH3]

1.79 × 10^-5 = (0.056 M)(x) / (0.089 M)

x = 1.13 × 10^-5 M

Finally, we can use the concentration of hydroxide ions to calculate the pH of the solution:

pH = 14 - pOH = 14 - (-log10(1.13 × 10^-5)) = 9.95

Therefore, the pH of the solution is 9.95.

If some NaOH is added to the solution but the pH barely changes, it means that the added NaOH is being neutralized by the NH4+ ions in the solution, forming more NH3 and water:

NH4+ + OH- → NH3 + H2O

This reaction helps to buffer the pH of the solution.

To calculate the pH of a solution with equal amounts of NH4Cl and NH3, we can use the Henderson-Hasselbalch equation:

pH = pKa + log([A-]/[HA])

where A- is the conjugate base of the acid, NH4+, and HA is the acid, NH3.

The pKa of NH4+ is given by:

pKa = pKw - pKb = 14 - 1.79 = 12.21

At the halfway point, the concentration of NH4+ and NH3 are equal:

[NH4+] = [NH3]

Substituting these values into the Henderson-Hasselbalch equation, we get:

pH = 12.21 + log(1) = 12.21

Therefore, the pH of a solution with equal amounts of NH4Cl and NH3 is 12.21.

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Answer:

Explanation:

I think 'The heat from Earth's core causes material in the area under the crust to become denser and rinse, while less dense material sinks.

Solubility: The maximum amount of solute that can be dissolved in a solvent at a given temperature and pressure is called solubility.

Partial Pressure: The pressure that a gas exerts when it is present in a mixture of gases is called partial pressure.

The given solubility of NO in water is 0.090 m and the partial pressure is 0.80 atm. We need to find the partial pressure required for the solubility of NO to be 0.060 m.

Hence, let's find the relationship between solubility and partial pressure.

The relationship between solubility and partial pressure can be given as, Henry's Law:

S = KP

Where, S is the solubility of the gas in solution,

P is the partial pressure of the gas above the solution, and

K is Henry's Law constant.

Let's apply the given values to Henry's Law to find the value of

K.0.090 m = K (0.80 atm)

K = 0.090 m / 0.80 atm

K = 0.1125 m/atm

Now, let's find the partial pressure required for the solubility of NO to be 0.060 m using Henry's Law.

0.060 m = (0.1125 m/atm) P

So, the partial pressure required for the solubility of NO to be 0.060 m is 0.53 atm.

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The two primary gases responsible for the

greenhouse effect

are carbon dioxide (CO2) and water vapor (H2O). They absorb infrared energy, which is a type of energy that is emitted from the Earth's surface, and trap it in the atmosphere.

This energy can't escape, which causes the atmosphere to warm up, resulting in the greenhouse effect.

The greenhouse effect is a natural process that helps to keep the Earth's temperature relatively stable, which is important for life.

The amount of CO2 and H2O in the atmosphere are regulated by natural processes, such as respiration and

photosynthesis

,

but human activities, such as burning fossil fuels and deforestation, have caused these levels to increase significantly over the past few decades.

This has resulted in a further increase in the temperature of the atmosphere, leading to climate change.

CO2 absorbs more infrared energy than other gases, but H2O also plays an important role in the greenhouse effect.

H2O exists in the atmosphere in both vapor and liquid forms, and is able to absorb and trap heat energy more effectively than CO2.

H2O also has the ability to reflect incoming sunlight, which further helps to keep the temperature of the atmosphere warm.

CO2 and H2O are the two primary gases responsible for the greenhouse effect because of their ability to absorb infrared energy and trap heat in the atmosphere.

These two gases are essential for regulating the temperature of the Earth and maintaining the climate.

Human activities have caused their levels to increase, resulting in a further increase in the temperature of the atmosphere and leading to climate change.  

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The acid dissociation constant (Ka) for an acid that when dissolved at a concentration of 0.1M gives a pH of 3.12 is: 4.48x10^-4.

The acid dissociation constant (Ka) for an acid that when dissolved at a concentration of 0.1M gives a pH of 3.12 can be calculated using the equation Ka = 10^-pH. In this case, Ka = 10^-3.12 = 4.48x10^-4.

Acid dissociation occurs when an acid donates a proton (H+) to a base, such as water. The Ka value is the equilibrium constant for this reaction and indicates the acid's strength. A higher Ka value indicates a stronger acid.

When an acid is dissolved in water, the concentration of hydrogen ions (H+) increases and affects the pH of the solution. The pH of a solution is determined by the concentration of hydrogen ions. The pH is calculated as the negative logarithm of the hydrogen ion concentration. When the concentration of H+ is 0.1M, the pH is 3.12, and Ka is 4.48x10^-4.

In conclusion, the acid dissociation constant (Ka) for an acid that when dissolved at a concentration of 0.1M gives a pH of 3.12 is 4.48x10^-4.

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Answer: CaSe

Explanation:

Step 1: Ca has a +2 charge as a cation. Se has a -2 charge as an anion.

Ca²⁺   Se²⁻

Step 2: Use the "swap and drop" method. Swap the numbers on each ion and then drop them as subscripts. Omit the + and -.

Ca₂Se₂

Step 3: When the subscripts are the same, you can omit them and write the answer as CaSe.

The correct answer is option a) CaSe.

Ionic compounds are formed when a metal and a non-metal react.

In this case, calcium is a metal and selenium is a non-metal. This reaction forms a cation (positively charged ion) of calcium and an anion (negatively charged ion) of selenium.

The formula for the compound is the combination of the symbols of the two elements with the charges balanced. Since calcium is a +2 cation and selenium is a -2 anion, the compound's formula is CaSe.

Therefore, the formula for the ionic compound formed by calcium and selenium is CaSe.

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The amount of sugar that you would need to add to 110 ml of water to create a 173 mM solution is 1.17986 grams.

In chemistry, molarity is a measure of the concentration of a solute in a solution. Molarity is usually expressed in moles per liter (M) and is the number of moles of a solute present in a liter of solution. The molarity of a solution is calculated by dividing the number of moles (n) of a solute by the volume (v) of the solution.
M = n/v

When a solution is created, the amount of solute required is determined by the desired molarity of the solution. For instance, if you wanted to create a 173 mM solution, you would need to know the molecular weight (MW) of the solute and the volume of the solution.
n = mass/MW

Combining the two equations, we can solve for the mass using the equation:

mass = n(MW) = M(v)(MW)

Plugging in the values, we get:

Amount of sugar = 173 mM(110 mL)(62 g/mol)

Amount of sugar = 173 x 10⁻³ M(110 mL)(62 g/mol)(1L/1000mL)

Amount of sugar = 1.17986 grams

Therefore, adding 1.17986 grams of sugar to 110 mL of water will create a 173 mM solution.

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Answer:

pressure on a balloon holding 433 ml of an ideal gas is increased from 688 torr to 1.00 atm. what is the newpressure on a balloon holding 433 ml of an ideal gas is increased from 688 torr to 1.00 atm. what is the new volume of the balloon (in ml) at constant temperature

The pH of the buffer solution is approximately 8.95.

To find the pH of the buffer solution, we'll use the Henderson-Hasselbalch equation:
pH = pKa + log ([A-]/[HA])
Here, [A-] is the concentration of NH3 (base), and [HA] is the concentration of NH4+ (conjugate acid). First, we need to find the pKa of NH4+. The pKa is the negative logarithm of the Ka (acid dissociation constant) value. For NH4+, the Ka value is 5.56 x 10^-10.
Step 1: Find pKa
pKa = -log(Ka) = -log(5.56 x 10^-10) = 9.25
Step 2: Find the concentration of NH3 and NH4+
[NH3] = 0.20 mol / 1.00 L = 0.20 M
[NH4+] = 0.40 mol / 1.00 L = 0.40 M
Step 3: Use the Henderson-Hasselbalch equation
pH = 9.25 + log(0.20/0.40) = 9.25 - 0.301 = 8.949

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