The Ksp for LaF3 is 2 x 10^-19. What is the solubility of LaF3 in water in moles per liter?

Answers

Answer 1

The solubility of[tex]LaF_3[/tex] in water is 3.04 x 10^-6 mol/L.

The solubility of [tex]LaF_3[/tex] in water can be determined using the Ksp expression:

[tex]Ksp = [La^{3+}][F^-]^3[/tex]

Where [tex][La^{3+}][/tex]and [tex][F^-][/tex] are the molar concentrations of the [tex]La^{3+}[/tex] and [tex]F^-[/tex] ions in the solution.

Since each [tex]LaF_3[/tex] formula unit dissociates into one [tex]La^{3+}[/tex] ion and three [tex]F^-[/tex] ions, the molar solubility of [tex]LaF_3[/tex] can be represented as x. Thus, the molar concentrations of [tex]La^{3+}[/tex] and [tex]F^-[/tex] ions in the solution can be written as x and 3x, respectively.

Substituting these values into the Ksp expression gives:

Ksp = x*(3x)^3 = 27x^4

Now, we can solve for x:

x = (Ksp/27)^(1/4)

= (2 x 10^-19 / 27)^(1/4)

= 3.04 x 10^-6 mol/L

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Related Questions

2 NaN3 → 2 Na + 3 N
Given 9.98 grams of N2, how many moles of NaN3 are produced?​

Answers

0.238 moles of NaN₃ are produced from 9.98 grams of N₂.

What is the moles of NaN₃ produced?​

The moles of he mass of NaN₃ produced

The balanced equation for the reaction is:

2 NaN₃ → 2 Na + 3 N₂

The molar ratio between NaN₃ and N₂ is 2:3, which means that for every 2 moles of NaN₃, 3 moles of N₂ are produced.

The mole ratio is used to determine how many moles of NaN₃ are produced from 9.98 grams of N₂.

First, we need to convert the mass of N₂ to moles:

moles of N₂ = mass of N2 / molar mass of N₂

moles of N₂ = 9.98 g / 28.02 g/mol

moles of N₂ = 0.356 mol

moles of NaN₃ = (2/3) * moles of N₂

moles of NaN₃ = (2/3) * 0.356 mol

moles of NaN₃ = 0.238 mol

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If a solution has a [H+] concentration of 4.5 x 10-7 M, is this an acidic or basic solution?
Solve and Explain.

Answers

Considering the definition of pH, the pH is 6.35 and the solution is acidic.

Definition of pH

pH is the Hydrogen Potential and it is a measure of acidity or alkalinity. pH indicates the amount of hydrogen ions present in a solution or substance.

Mathematically, pH is calculated as the negative base 10 logarithm of the activity of hydrogen ions:

pH= - log [H⁺]

The numerical scale that measures the pH of substances includes the numbers from 0 to 14. The pH value 7 corresponds to neutral substances. Acidic substances are those with a pH lower than 7, while basic substances have a pH higher than 7.

Acidic or basic solution in this case

In this case, being [H⁺]=4.5×10⁻⁷ M, you can replace this value in the definition of pH:

pH= -log (4.5×10⁻⁷ M)

Solving:

pH= 6.35

Finally, the pH is lower than 7, the solution is acidic.

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How many grams of NaOH are needed to make 100. mL of solution with a concentration of 1.5 M?

Answers

To create 100 mL of solution with a concentration of 1.5 M, 6.00 grams of NaOH are required.

The amount of NaOH needed to make 100. mL of solution with a concentration of 1.5 M can be calculated using the formula:

mass = molarity x volume x molar mass

where:

molarity = 1.5 M (given)

volume = 100. mL = 0.1 L (given)

molar mass of NaOH = 40.00 g/mol (from periodic table)

Substituting the values, we get:

mass = 1.5 mol/L x 0.1 L x 40.00 g/mol

mass = 6.00 g

Therefore, 6.00 grams of NaOH are needed to make 100. mL of solution with a concentration of 1.5 M.

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In the following experiment, a coffee-cup calorimeter containing 100 mL
of H2O is used. The initial temperature of the calorimeter is 23.0 ∘C
. If 6.60 g of CaCl2 is added to the calorimeter, what will be the final temperature of the solution in the calorimeter? The heat of solution ΔHsoln of CaCl2 is −82.8 kJ/mol
.
Assume that the specific heat of the solution formed in the calorimeter is the same as that for pure water: Cs=4.184 J/g⋅∘C
.

Express your answer with the appropriate units.

Answers

In the following experiment, a coffee-cup calorimeter containing 100 mL of [tex]H_{ 2} O[/tex] is used. The initial temperature of the calorimeter is 23.0 ∘C. If 6.60 g of [tex]CaCl_{2}[/tex] is added to the calorimeter, Final temperature of the solution in the calorimeter = 11.

The first step in solving this problem is to calculate the number of moles of [tex]CaCl_{2}\\[/tex] added to the calorimeter.

Moles of [tex]CaCl_{2}[/tex] = mass of [tex]CaCl_{2}[/tex] / molar mass of [tex]CaCl_{2}[/tex]

Moles of[tex]CaCl_{2}[/tex] = 6.60 g / 110.98 g/mol (molar mass of [tex]CaCl_{2}[/tex]

Moles of[tex]CaCl_{2}[/tex] = 0.0594 mol

We can use the equation for heat transfer to find the change in temperature of the solution. q = mCsΔT, where q is the heat transferred, m is the mass of the solution, Cs is the specific heat of the solution, and ΔT is the change in temperature.

We know that the initial temperature of the calorimeter is 23.0 ∘C and the mass of the solution is 100 g (since the density of water is 1 g/mL). We can solve for ΔT: ΔT = q / mCs

To find q, we can use the enthalpy change of solution (ΔHsoln) and the number of moles of[tex]CaCl_{2}[/tex]added: q = ΔHsoln x moles of[tex]CaCl_{2}[/tex]

q = -82.8 kJ/mol x 0.0594 mol

q = -4.92 kJ

Now we can solve for ΔT: ΔT = (-4.92 kJ) / (100 g x 4.184 J/g⋅∘C)

ΔT = -11.8 ∘C

We can find the final temperature of the solution by adding the change in temperature to the initial temperature: Final temperature = 23.0 ∘C - 11.8 ∘C =11 ∘C.

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Choose the equation below that is balanced correctly.
S8 +24 028 SO3
S8+ 12 0₂8 SO3
6 S8+8 026 SO3
2 S8 +3 022 SO3

Answers

The balanced equation for the reaction between sulfur (S₈) and oxygen (O₂) to form sulfur trioxide (SO₃) is 2S₈ + 16O₂ → 16SO₃.

What is the balanced chemical equation?

Balancing chemical equations involves the addition of stoichiometric coefficients to the reactants and products.

The balanced equation for the reaction between sulfur (S₈) and oxygen (O₂) to form sulfur trioxide (SO₃) is determined as;

2S₈ + 16O₂ → 16SO₃

From the reactants side we can see that sulfur is 16 and also 16 in the product side. The number of oxygen in the reactant side is 32 and also 32 in the product side.

Thus, the balanced equation for the reaction between sulfur (S₈) and oxygen (O₂) to form sulfur trioxide (SO₃) is 2S₈ + 16O₂ → 16SO₃.

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Which number is the same as 2.5
10-3?

Answers

The number that is the same as the exponentiation given as follows: 2.5 × 10-³ is 0.0025.

What is exponentiation?

Exponentiation is the process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.

For example, if 10 is multiplied three times, then it can be written as "10 raised to 3" which means 10³. In this case, 10 is the base, and 3 is the exponent.

Therefore, a number 0.0025 can be written in exponentiation as 2.5 × 10-³ by counting the number of zeros forward.

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Does anyone know the answer to this question

Answers

Answer:

A

Explanation:

If Hydrogen is H₂  There will be two silver

and is Carbon is C There will only be one gray

and if Oxygen is O₃ There will be three red

I need help with this please fast

Answers

4) The volume of the HCl used is 9.500 mL while the volume of the NaOH used is 3.800 mL.

5) Molarity of sodium hydroxide is obtained from; Molarity of HCl * 1/2

What is titration?

By reacting an unknown component with a known quantity of a different chemical known as a titrant, titration is a laboratory procedure used to measure the concentration of an unknown substance, often a solute dissolved in a liquid.

The endpoint of a titration can be detected in a number of ways, depending on the specific titration being performed.

4)

Volume of the Acid used = Initial reading - Final reading = 25.00 - 15.50 = 9.500 mL

Volume of the base used = 8.80 - 5.00 = 3.800 mL

5)

We know that the mole ratio is 1:2 and the implication of this is that the set up to obtain the molarity of the sodium hydroxide solution is Molarity of HCl * 1/2

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What is the energy associated with the formation of 2.55 g of 4He by the fusion of 3H and 1H?

Substance Mass (u)
4He 4.00260
3H 3.01605
1H 1.00783

Answers

The energy associated with the formation of 2.55 g of 4He by the fusion of 3H and 1H is -2.982 x 10⁻¹⁰ J.

The given masses of the isotopes can be converted to kilograms using the conversion factor: 1 u = 1.661 x 10⁻²⁷ kg.

Mass of 4He = 2.55 g = 2.55 x 10⁻³ kg

Mass of 3H = 3.01605 u = 3.01605 x 1.661 x 10⁻²⁷ kg/u

= 5.0099 x 10⁻²⁷ kg

Mass of 1H = 1.00783 u = 1.00783 x 1.661 x 10⁻²⁷ kg/u

= 1.6737 x 10⁻²⁷ kg

The balanced equation for the fusion reaction is;

3H + 1H → 4He

The molar mass of 4He is 4.0026 g/mol, which can be converted to kg/mol using the conversion factor: 1 g/mol = 1 x 10⁻³ kg/mol.

Molar mass of 4He = 4.0026 g/mol = 4.0026 x 10⁻³ kg/mol

The number of moles of 4He formed can be calculated from its mass;

n(4He) = m(4He) / M(4He)

= 2.55 x 10⁻³ kg / 4.0026 x 10⁻³ kg/mol

= 0.638 mol

From the balanced equation, 3 moles of H atoms react with 1 mole of He atoms to form 1 mole of He atoms. Therefore, the number of moles of H atoms required for the reaction is;

n(H) = 3/4 x n(4He)

= 3/4 x 0.638 mol

= 0.479 mol

The energy released in the reaction can be calculated using the mass-energy equivalence equation;

E = Δm c²

where Δm is change in mass, c is the speed of light.

The change in mass is;

Δm = [3H + 1H - 4He] = [5.0099 x 10⁻²⁷ kg + 1.6737 x 10⁻²⁷kg - 4.0026 x 10⁻³ kg]

= -3.315 x 10⁻²⁷ kg (negative because mass is lost in the reaction)

The energy released is;

E = (-3.315 x 10⁻²⁷ kg) c²

= (-3.315 x 10⁻²⁷ kg) (2.998 x 10⁸ m/s)²

= -2.982 x 10⁻¹⁰ J

The negative sign indicates that energy is released in the reaction (exothermic reaction).

Therefore, the energy associated is -2.982 x 10⁻¹⁰ J.

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