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laila [671]
3 years ago
14

A standard lanthanum solution is prepared by dissolving 0.1968 grams of lanthanum oxide (La2O3) in excess nitric acid and diluti

ng to one liter in a volumetric flask. Calculate the concentration of the solution expressed as molarity of lanthanum nitrate and as ppm lanthanum.
Chemistry
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

1.208x10⁻³M and 392.5ppm La(NO3)3

Explanation:

The reaction that occurs is:

La2O3 + 6HNO3 → 2La(NO3)3 + 3H2O

Molarity is defined as the moles of solute (In this case, LaO3) per liter of solution. And ppm, are mg of solute per liter of solution.

To solve this question we must find the moles of La(NO3)3 produced and its mass in milligrams to find molarity and ppm:

<em>Moles La2O3 -Molar mass: 325.81g/mol-</em>

0.1968g * (1mol / 325.81g) = 6.04x10⁻⁴ moles La2O3

<em>Moles La(NO3)3:</em>

6.04x10⁻⁴ moles La2O3 * (2mol La(NO3)3 / 1mol La2O3) = 1.208x10⁻³ moles La(NO3)3

<em>Molarity:</em>

1.208x10⁻³ moles La(NO3)3 / 1L =

<h3>1.208x10⁻³M</h3>

<em>Mass La(NO3)3 -Molar mass: 324.92g/mol-</em>

1.208x10⁻³ moles La(NO3)3 * (324.92g / mol) = 0.392.5g La(NO3)3

In mg:

392.5mg La(NO3)3 / 1L =

392.5ppm La(NO3)3

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So 1 liter of solution will mass 1057 grams and the mass of ammonium chloride will be 0.2 * 1057 g = 211.4 g. The number of moles will then be 211.4 g / 53.5 g/mol = 3.951401869 mol. Rounding to 3 significant digits gives a molarity of 3.95.  
Now assuming that your teacher wants you to assume that the solution masses 1.00 g/ml, then the mass of ammonium chloride will only be 200g, and that is only (200/53.5) = 3.74 moles.   
So in conclusion, the expected answer is 3.74 M, although the correct answer using missing information is 3.95 M.
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4 years ago
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If 125mL of a 0.15M NaOH solution is diluted to 150mL, what will the new molarity of the solution be?
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∴ moles NaOH = (0.125 L)(0.15 mol/L) = 0.01875 mol

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A certain weak acid, HA, has a Ka value of 6.7 X 10^-7.
yuradex [85]

Answer:

  • <u>Part A: 0.26% </u>

  • <u>Part B: 0.82%</u>

Explanation:

<em>Percent ionization</em> is the percent of the original acid that has ionized:

  • %, ionization = (molar concentration of hydrogen ions at equilibrium / molar concentration of original acid) × 100

<u><em>Part A:</em></u>

<u>1) Data:</u>

  • Ka: 6.7 × 10 ⁻⁷
  • [HA] = 0.10 M
  • %, ionization = ?

<u>2) Equilibrium equation:</u>

  • HA ⇄ H⁺ + A⁻

<u>3) ICE (initial, change, equilbirium) table </u>

                           Concentrations

                         HA            H⁺       A⁻

Initial                 0.10           0        0

Change             - x            + x     + x

Equilibrium     0.10 - x         x         x

  • Equation:      Ka          =         [H⁺] [A⁻] / [HA] =

                        6.7 × 10 ⁻⁷   =          x² / (0.10 - x)

<u>4) Solve the equation:</u>

Since Ka << 1, you can assume x << 0.10 and 0.10 - x ≈ 0.10

  • 6.7 × 10 ⁻⁷ ≈  x² / 0.10 ⇒ x² ≈ 6.7 × 10⁻⁸ ⇒ x ≈ 2.588 × 10⁻⁴

  • [H⁺] ≈ 2.588 × 10⁻⁴ M

  • % ionization ≈ (2.588 × 10⁻⁴ M / 0.1 M) × 100 ≈ 0.2588 % ≈ 0.26% (two significant figures)

<u><em>Part B:</em></u>

<u>1) Data:</u>

  • Ka: 6.7 × 10 ⁻⁷
  • [HA] = 0.010 M
  • %, ionization = ?

<u>2) Equilibrium equation:</u>

  • HA ⇄ H⁺ + A⁻

<u>3) ICE table:</u>

                            Concentrations

                           HA              H⁺       A⁻

Initial                 0.010            0         0

Change               - x              + x     + x

Equilibrium     0.010 - x           x         x

  • Equation:      Ka          =         [H⁺] [A⁻] / [HA] =

                        6.7 × 10 ⁻⁷   =          x² / (0.010 - x)

<u>4) Solve the equation</u>:

Since Ka << 1, you can assume x << 0.010 and 0.010 - x ≈ 0.010

  • 6.7 × 10 ⁻⁷ ≈  x² / 0.010 ⇒ x² ≈ 6.7 × 10⁻⁹ ⇒ x ≈ 8.185 × 10⁻5

  • [H⁺] ≈ 8.185 × 10⁻⁵ M

  • % ionization ≈ (8.185 × 10⁻⁵ M / 0.010 M) × 100 ≈ 0.8185 % ≈ 0.82% (two significant figures)
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4 years ago
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