CH 302: Solubility & Acid/Base Chemistry

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Questions and Answers

When aqueous solutions of $AgNO_3$ and $NaCl$ are mixed, what is the net ionic equation?

  • $Na^+ (aq) + Cl^- (aq) \rightarrow NaCl (s)$
  • $Na^+ (aq) + NO_3^- (aq) \rightarrow NaNO_3 (aq)$
  • $Ag^+ (aq) + NO_3^- (aq) \rightarrow AgNO_3 (s)$
  • $Ag^+ (aq) + Cl^- (aq) \rightarrow AgCl (s)$ (correct)

When $Ca(NO_3)_2$ and $K_2CO_3$ solutions are mixed, which compound precipitates?

  • Potassium carbonate
  • Calcium carbonate (correct)
  • Calcium nitrate
  • Potassium nitrate

Which of the following compounds is most soluble given their $K_{sp}$ values: $CaCO_3 (K_{sp} = 1.0 \times 10^{-10})$, $Mg(OH)2 (K{sp} = 1.2 \times 10^{-11})$, $Al(OH)3 (K{sp} = 3.3 \times 10^{-33})$, $PbS (K_{sp} = 3.0 \times 10^{-28})$?

  • $Al(OH)_3$
  • $Mg(OH)_2$ (correct)
  • $PbS$
  • $CaCO_3$

What is the molar solubility of $Ag_2CO_3$ (Ksp = $4 \times 10^{-12}$)?

<p>$10^{-4} M$ (B)</p> Signup and view all the answers

The $K_{sp}$ of $Cd_3(PO_4)_2$ at $18^\circ C$ is $1.08 \times 10^{-33}$. What is its molar solubility at this temperature?

<p>$1.0 \times 10^{-7} M$ (B)</p> Signup and view all the answers

What is the molar solubility of $Mg^{2+}$ in a saturated solution of $Mg(OH)2$ after adding 0.1 M NaOH, given that the $K{sp}$ for $Mg(OH)_2$ is $1.2 \times 10^{-11}$?

<p>$1.2 \times 10^{-9} M$ (C)</p> Signup and view all the answers

A solution contains 1 M $Ag^+$ and 0.1 M $Pb^{2+}$. If $NaCl$ is added, which cation precipitates first and by how many magnitudes, given $K_{sp}(AgCl) = 10^{-10}$ and $K_{sp}(PbCl_2) = 10^{-5}$?

<p>$Ag^+$, 8 orders of magnitude (D)</p> Signup and view all the answers

Which substance is incorrectly identified as a type of acid or base?

<p>$CH_3COOH$ is a Lewis acid. (D)</p> Signup and view all the answers

Which statement about $K_w$ is always true?

<p>It increases as temperature increases, and $K_w=[H^+][OH^-]$. (C)</p> Signup and view all the answers

What is the pOH of a solution with a proton concentration of $10^{-4} M$?

<p>10 (B)</p> Signup and view all the answers

If the $K_b$ for ammonia is $10^{-4}$, what is the $pK_a$ for its conjugate acid?

<p>10 (C)</p> Signup and view all the answers

Given these acids in order of decreasing strength ($HCl, H_3O^+, HCN$), what is the order of decreasing base strength of their conjugate bases?

<p>$CN^-, H_2O, Cl^-$ (A)</p> Signup and view all the answers

What is the pH of $10^{-2.5} M$ nitric acid?

<p>2.5 (D)</p> Signup and view all the answers

What is the pH of a 0.1 M $CH_3NH_3Cl$ solution, given the $K_b$ for $CH_3NH_2$ is $10^{-5}$?

<p>5 (C)</p> Signup and view all the answers

The ratio of $NH_3$ to $NH_4Br$ in an aqueous solution is 4. If the $NH_3$ concentration is $3.2 \times 10^{-3}$ and its $K_b$ is $10^{-5}$, what is the pH?

<p>9.86 (A)</p> Signup and view all the answers

If 100 mL of 1 M $HClO_4$ is titrated with 900 mL of 0.1 M $NaOH$, what is the resulting pH?

<p>2 (B)</p> Signup and view all the answers

A solution contains 0.5 moles of acetic acid and 1.0 mole of sodium acetate dissolved, what is the buffer capacity?

<p>0.5 moles strong base, 1.0 moles strong acid (B)</p> Signup and view all the answers

If 100 mL of 0.1 M $LiOH$ is added to 200 mL of 0.1 M formic, what is the resulting pH, given formic acid has a $pK_a$ of 4?

<p>4 (D)</p> Signup and view all the answers

200 mL of 0.2 M ammonia ($K_b = 10^{-5}$) is titrated with 100 mL of 0.4 M $HClO_3$. Which is true?

<p>Neutralization to the equivalence point, pH &lt; 7 (C)</p> Signup and view all the answers

Which solution would form a buffer upon mixing?

<p>0.5 L of 1 M $Ba(OH)_2$ with 2 L of 1 M $CH_3COOH$ (A)</p> Signup and view all the answers

For phosphoric acid ($H_3PO_4$), which of the following expressions would accurately calculate the $K_{a2}$ value?

<p>$H_2PO_4^- \rightleftharpoons HPO_4^{2-} + H^+$ (B)</p> Signup and view all the answers

5 mole each of BaCO3 and NaHCO3 are thrown into $H_2O$, what is the pH (pKa = 6, 10)

<p>10 (A)</p> Signup and view all the answers

5 moles of KOH is added to a 1 L solution of 0.5 mol $H_2CO_3$ and 0.5 mol $KHCO_3$, determine the pH (pKa = 6, 10).

<p>12 (B)</p> Signup and view all the answers

Carbonic acid, a diprotic acid, has $pK_a$ values of approximately 6 and 10. In an alpha diagram, which species dominates at pH 8?

<p>$HCO_3^-$ (C)</p> Signup and view all the answers

Which system calculates pH with the least error using the weak acid equation?

<p>0.01 M acetic acid, $pK_a = 5$ (B)</p> Signup and view all the answers

What is the approximate pH of 0.01 M $H_2SO_4$ accounting for $K_{a}$ values?

<p>A little less than 2 (D)</p> Signup and view all the answers

What is the pH of $10^{-8}$ M $NaOH$?

<p>A little more than 7 (E)</p> Signup and view all the answers

Flashcards

Net Ionic equation

Shows only the chemical species that react, excluding spectator ions.

Spectator ions

Ions present on both sides of the equation that do not participate in the reaction.

Molar Solubility

A measure of how much a salt dissolves and ionizes in water.

Ksp

Equilibrium constant representing the balance between a solid salt and its dissolved ions.

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Common ion effect

The solubility of a salt when one of its ions is already present in the solution

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Selective Precipitation

Separating ions by selective precipitation

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Bronsted Acid

A proton (H+) donor.

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Bronsted Base

A proton (H+) acceptor.

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Autoprotolysis of water

Water's ability to act as both an acid and a base.

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Kw

The product of [H+] and [OH-] in water; varies with temperature.

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pH

Negative logarithm of the hydrogen ion concentration.

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Neutral solution

Equal concentrations of H+ and OH-

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Buffer Solution

A solution that resists changes in pH upon addition of small amounts of acid or base.

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Buffer Capacity

The amount of acid or base a buffer can neutralize before significant pH change.

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Equivalence point

The point in a titration where the amount of added titrant is stoichiometrically equivalent to the analyte.

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Buffer region

Region on a titration curve where the pH changes slowly.

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Polyprotic acid

Acids with more than one ionizable proton.

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Alpha Diagram

Diagram showing the fraction of each species of a polyprotic acid as a function of pH.

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Amphiprotic species

An acid or base that can both donate and accept a proton.

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Equivalence

The point at which a strong acid and base, completely neutralise each other

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Study Notes

  • Contains a list of question types (QTs) for CH 302 Solubility and Acid/Base Chemistry

Interpreting Net Ionic Equations and Spectator Ions

  • Net ionic reaction indicates chemical species undergoing reaction
  • Spectator ions appear on both sides of reaction; do not participate in chemistry
  • Solubility rules are needed to recognize soluble and insoluble ions
  • Multiply charged species typically insoluble, except sulfates
  • Nitrates, chlorates, and ammonium salts are always soluble
  • Alkali metals and halogens are generally always soluble, except silver (Ag) salts like AgCl

Estimating Solubility from Ksp

  • Salts dissociate to varying degrees in water
  • Molar solubility and Ksp indicate how much they dissolve and ionize
  • Ksp equilibrium constant that represents the equilibrium between solid salt and dissolved ions
  • Molar solubility: amount/concentration of solute in saturated solution at equilibrium
  • A small Ksp (large negative exponent) indicates low compound solubility
  • The relationship between Ksp and molar solubility depends on the number of ions that dissociate.

Calculating Molar Solubility from Ksp

  • This question type focuses on accurate computation instead of estimating using roots
  • Divide by coefficient 4, 27, or 108 first
  • Math should work itself out easily without a calculator

Common Ion Calculation

  • Soluble salt added to an insoluble salt that has an ion in common
  • By Le Chatelier's principle, soluble salt dissolution shifts left, making it less soluble
  • Steps to solve:
    • Identify common ion and insoluble salt (IS).
    • Write Ksp expression for the insoluble salt.
    • Directly plug in the concentration of the common ion.
    • Solve for concentration of the other ion; indicates new molar solubility.

Selective Precipitation

  • Three ions floating in water and a mysterious anion is added
  • To understand which cation will participate first, consider that is the one with the lowest molar solublity
  • Farther apart Ksp values are for the same form (same # ions in the salt), the easier it is to selectively precipitate.

Acid/Base Theory

  • Arrhenius Theory: Acids and bases are the dissociation products for water (H3O+ and OH-)
  • Brønsted-Lowry Theory: Focuses on the proton, H+
    • Brønsted acid: proton (H+) donor
    • Brønsted base: proton (H+) acceptor.
  • Lewis Theory: Built around the unbonded electron pair
    • Lewis base: electron donor with unpaired electrons
    • Lewis acid: electron acceptor with empty orbitals

Autoprotolysis of Water

  • H2O with no acids or bases added
  • Given H2O (I) ⇌ H+ (aq) + OH-(aq), Kw = [H+][OH-] where [H+] = [OH-]
  • At room temperature (25°C), Kw = 10-14, [H+] = [OH-] = 10-7 M
  • Dissociation of water is negligible as represented by [H+] = [OH-] and pH = pOH
  • Water dissociation is endothermic because energy is required to break a bond
  • As T increases, Kw increases; as T decreases, Kw decreases
  • Water is still neutral because [H+] = [OH-], but pH = 7 only at 25°C
  • There are conversions between pH, pOH, [H+], [OH-], pKa, pKb, Ka and Kb
  • pH = -log[H+]
  • pOH = -log[OH-]
  • Kw = [H+][OH-] = 10-14 at 25°C
  • pKw = pH + pOH = 14 at 25°C
  • pKa = -log(Ka)
  • pKb = -log(Kb)
  • Kw = KaKb = 10-14 at 25°C
  • pKw = pKa + pKb = 14 at 25°C

Ranking Acidity and Basicity based on K Values

  • The larger the Ka (= smaller pKa), the stronger the acid
  • The larger the K♭ (= smaller pK♭), the stronger the base
  • Keep in mind you may be provided with acids and asked about their conjugate bases, or vice versa. Kw = KaKb, thus “the stronger the acid, the weaker the conjugate base” (and vice versa)

Equilibrium Acid/Base Calculation: Strong Case

  • Equilibrium calculation because there is no RICE table needed since there is no reaction occurring
  • Memorize the 7 strong acids and 6 strong bases by formula and name
    • Strong Acids: HCl, HBr, HI, HNO3, H2SO4, HClO3, HClO4
    • Strong Bases: LiOH, NaOH, KOH, RbOH, Ba(OH)2, Sr(OH)2
  • Remove spectator ions, then for strong a/b only H⁺ or OH¯ remains.
  • Convert to pH to answer the question.

Equilibrium Acid/Base Calculation: Weak Case

  • Simple weak acid/base calculation involves simply dumping a weak acid or base into water and asking the pH
  • Remove spectator ions
  • Identify compound as strong or weak acid or base and its form: H+, OH-, НА, А¯, BH⁺, or B.
  • No neutralization happening in the "simple" case, so just solve the appropriate calculation
    • Weak Acid: [H+] = (KaCa)1/2
    • Weak Base: [OH¯] = (К♭С♭)1/2
  • Convert to pH, pOH, [H+], or [OH¯] as requested to answer the question

Equilibrium Acid/Base Calculation: Buffer

  • The simple buffer acid/base calculation involves dumping a weak acid/base and its conjugate base/acid into water to create a buffer and asking the pH
  • There is no neutralization happening in the "simple" case, so just solve the appropriate calculation
  • Equations for buffer
    • [H+] = Kaa
    • [OH-] = Kob
  • Convert to pH, pOH, [H+], or [OH-] as requested

Neutralization: Strong Acid/Strong Base Case

  • After any spectator ions are removed, use neutralizaiton calculations dor strong acids/bases
  • The following neutralization reactions take place: H+ + OH- → H¬2O
  • Identify compounds as strong or weak acid or base and its form: H+, OH¯, HA, A¯, BH⁺, or B. For buffers, recognize that the compounds are conjugates.
  • Do you neutralize? Yes if there is an acid + base and at least one is strong
  • Set up a RICE table, converting to moles, and solve the limiting reagent problem
  • Identify what type of solution remains and solve the appropriate calculation

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