CHEM 1220 Ch 1: Weak Bases & Acid-Base Equilibria

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Questions and Answers

Which characteristic is essential for a molecule to act as an amine base?

  • The presence of a double bond between nitrogen and hydrogen.
  • The ability to form a bond with $OH^-$.
  • The ability to donate a proton to water.
  • The presence of a lone electron pair on the nitrogen atom. (correct)

What is the role of water in the reaction of a weak base ($B$)?

  • It stabilizes the $B^+$ ion.
  • It donates a proton to the weak base, forming $HB^+$ and $OH^-$. (correct)
  • It acts as a catalyst, speeding up the reaction.
  • It accepts a proton from the weak base.

What does a high value of $K_b$ indicate about a base?

  • The base is a strong acid.
  • The base is completely un-reactive.
  • The base readily reacts with water to form its conjugate acid and $OH^-.$ (correct)
  • The base is highly soluble in water.

Which statement accurately describes how $K_b$ is used in calculations involving weak bases?

<p>It is used to determine the equilibrium concentrations of the weak base, its conjugate acid, and $OH^-$. (D)</p> Signup and view all the answers

In the equilibrium-constant expression for weak bases, why is water typically omitted?

<p>The concentration of water remains nearly constant. (C)</p> Signup and view all the answers

Consider the reaction: $NH_3(aq) + H_2O(l) \rightleftharpoons NH_4^+(aq) + OH^-(aq)$. If the initial concentration of $NH_3$ is 0.20 M and the $K_b$ is $1.8 × 10^{-5}$, which expression correctly approximates the equilibrium concentration of $OH^-$?

<p>$[OH^-] = \sqrt{0.20 × (1.8 × 10^{-5})}$ (A)</p> Signup and view all the answers

Which of the following weak bases will produce the lowest concentration of $OH^-$ in a 0.1 M aqueous solution?

<p>Pyridine ($K_b = 1.7 × 10^{-9}$) (A)</p> Signup and view all the answers

A solution of a weak base has a pH of 10.5. What additional information is needed to calculate the molarity of the base?

<p>The $K_b$ of the weak base (B)</p> Signup and view all the answers

Why is it important to check the 'x is small' approximation when calculating equilibrium concentrations for weak bases?

<p>To confirm that the change in concentration of the base is negligible compared to its initial concentration. (B)</p> Signup and view all the answers

What is the primary reason ammonia ($NH_3$) is classified as a weak base?

<p>It only partially ionizes in water. (B)</p> Signup and view all the answers

A chemist discovers a new chemical compound and determines it can accept a proton from water. What further information is needed to determine if the compound is a weak base?

<p>The $K_b$ value (C)</p> Signup and view all the answers

Which of the following is true regarding the relationship between a weak base and its conjugate acid?

<p>The conjugate acid is formed when the weak base accepts a proton. (B)</p> Signup and view all the answers

If the pH of an aqueous solution of ammonia ($NH_3$) is 11.0, what is the $pOH$ of the solution at $25^\circ C$?

<p>3.0 (D)</p> Signup and view all the answers

What is the correct $K_b$ expression for methylamine ($CH_3NH_2$) in water?

<p>$K_b = \frac{ [CH_3NH_3^+][OH^-]}{[CH_3NH_2]}$ (D)</p> Signup and view all the answers

Using the ICE table method, what algebraic expression represents the equilibrium concentration of $NH_3$ if 'x' is the change in concentration of $NH_4^+$?

<p>0.15 - <em>x</em> (B)</p> Signup and view all the answers

Flashcards

Amine

A base that removes a proton from a water molecule to form an N-H bond.

Weak Bases

React with water, accepting protons (H+) from H₂O. This forms the conjugate acid of the base and OH- ions.

Base Dissociation Constant (K)

A measure of the extent to which a base reacts with water to form the corresponding conjugate acid and hydroxide ions (OH-).

Necessary for H+ bond

A chemical species with a lone pair of electrons available to form a bond with a proton (H+).

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Ammonia (NH3)

Common weak base. Reacts with water to form ammonium ion (NH4+) and hydroxide ion (OH-).

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Study Notes

  • CHEM 1220 - Chapter 1: Acid-Base Equilibria, focusing on weak bases.

Types of Weak Bases

  • Amine defined: A base that the removes a proton from a water molecule, forming an N-H bond.
  • A lone electron pair is necessary for the amine to form a bond with H⁺.

Reaction with Water and Dissociation Constant

  • Weak bases react with water and extract protons from H₂O
  • This forms the conjugate acid of the base and hydroxide (OH⁻) ions.
  • The reaction can be represented as: B(aq) + H₂O ⇌ HB⁺(aq) + OH⁻(aq).
  • The base dissociation constant (K_b) quantifies the extent to which a base dissociates in water.
  • K_b = [HB+][OH-]/[B]
  • Water is omitted from the equilibrium-constant expression.
  • The most commonly encountered weak base is ammonia (NH₃).
  • NH₃(aq) + H₂O ⇌ NH₄⁺(aq) + OH⁻(aq)

Weak Base Examples and Kb Values

  • Ammonia (NH₃): K_b = 1.8 × 10⁻⁵
  • Pyridine (C₅H₅N):K_b = 1.7 × 10⁻⁹
  • Hydroxylamine (HONH₂): K_b = 1.1 × 10⁻⁸
  • Methylamine (CH₃NH₂): K_b = 4.4 × 10⁻⁴
  • Hydrosulfide ion (HS⁻): K_b = 1.8 × 10⁻⁷
  • Carbonate ion (CO₃²⁻): K_b = 1.8 × 10⁻⁴
  • Hypochlorite ion (ClO⁻): K_b = 3.3 × 10⁻⁷
  • Methylamine produces the highest pH as a 0.05 M solution because it has the highest K_b.

Calculating Hydroxide Concentration

  • To calculate the concentration of OH⁻ in a 0.15 M solution of NH₃, start with writing out the K expression
  • NH₃(aq) + H₂O ⇌ NH₄⁺(aq) + OH⁻(aq).
  • K_b = 1.8 × 10⁻⁵
  • Use an ICE (Initial, Change, Equilibrium) table to determine equilibrium concentrations.
  • Initial concentrations: [NH₃] = 0.15 M, [NH₄⁺] = 0, [OH⁻] = 0.
  • Change in concentrations: [NH₃] = -x, [NH₄⁺] = +x, [OH⁻] = +x.
  • Equilibrium concentrations: [NH₃] = 0.15 - x, [NH₄⁺] = x, [OH⁻] = x.
  • Substitute the equilibrium concentrations into the K expression: K_b = (x * x) / (0.15 - x) = 1.8 × 10⁻⁵.
  • Simplify the equation by assuming x is small, which leads to x² / 0.15 = 1.8 × 10⁻⁵.
  • Solve for x: x = √(1.8 × 10⁻⁵ * 0.15) = 1.64 × 10⁻³ M, which represents [OH⁻].
  • Since x is less than 5% of 0.15, the simplifying approximation is appropriate.

Determining Molarity from pH

  • To determine the molarity of an aqueous NH₃ solution with a pH of 11.17, first determine [OH⁻]
  • pOH = 14 - pH = 14 - 11.17 = 2.83
  • [OH⁻] = 10^(−2.83) = 1.48 × 10^(−3) M.
  • Use an ICE table to relate the initial concentration of NH₃ to the equilibrium concentration of OH⁻.
  • Initial concentrations: [NH₃] = x, [NH₄⁺] = 0, [OH⁻] = 0.
  • Change in concentrations: [NH₃] = -1.48 × 10^(−3), [NH₄⁺] = +1.48 × 10^(−3), [OH⁻] = +1.48 × 10^(−3).
  • Equilibrium concentrations: [NH₃] = x - 1.48 × 10^(−3), [NH₄⁺] = 1.48 × 10^(−3), [OH⁻] = 1.48 × 10^(−3).
  • Set up the K expression K_b = [NH₄⁺][OH⁻] / [NH₃] = (1.48 × 10^(−3))² / (x - 1.48 × 10^(−3)) = 1.8 × 10^(−5).
  • Simplify: 1.8 x 10⁻⁵x = 2.22 × 10⁻⁶.
  • Solve for x: x = 0.12 M.

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