quiz Scienze e Ingegneria · 5 questions

Acidi, Solubilità, Redox e Cinetica

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1

According to Lewis theory, which species acts as a Lewis acid in the reaction between NH₃ and H⁺?

2

What is the primary reason that the solubility of CaF₂ decreases in the presence of a common ion?

3

If a galvanic cell composed of a Zn/Zn²⁺ electrode and a Cu²⁺/Cu electrode has a measured standard cell potential of +0.34 V, which half‑reaction is occurring at the cathode?

4

A reaction A → products follows first‑order kinetics. Which plot will give a straight line to determine the rate constant k?

5

How does increasing the temperature affect the rate constant k of a reaction according to the Arrhenius equation?

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Acidi, Solubilità, Redox e Cinetica

Review key concepts before taking the quiz

Introduction

Understanding the fundamental concepts of acid‑base theory, solubility equilibria, redox chemistry, and reaction kinetics is essential for students of chemistry, chemical engineering, and related scientific fields. This course synthesises the key ideas tested in a typical quiz on Acidi, Solubilità, Redox e Cinetica, providing clear explanations, real‑world examples, and SEO‑friendly terminology that will help learners rank higher in search results while mastering the material.

Lewis Acid–Base Theory

The Lewis definition expands the classic Brønsted‑Lowry view by describing acids as electron‑pair acceptors and bases as electron‑pair donors. This broader perspective accommodates reactions that do not involve protons.

Identifying the Lewis Acid in the NH₃ + H⁺ Reaction

Consider the reaction between ammonia (NH₃) and a proton (H⁺). Ammonia possesses a lone pair on nitrogen, making it a classic Lewis base because it can donate that pair. The proton, on the other hand, lacks electrons and seeks a pair to achieve a stable configuration. Consequently, H⁺ accepts the lone pair from NH₃, forming the ammonium ion (NH₄⁺). Therefore, according to Lewis theory, H⁺ is the Lewis acid and NH₃ is the Lewis base.

  • Key point: A species that accepts a lone pair (e.g., H⁺, AlCl₃, BF₃) functions as a Lewis acid.
  • Key point: A species that donates a lone pair (e.g., NH₃, H₂O, OH⁻) functions as a Lewis base.

Solubility and the Common Ion Effect

Solubility equilibria are governed by the solubility product constant (Ksp). When a salt dissolves, it establishes a dynamic balance between dissolved ions and the solid phase.

Why CaF₂ Solubility Decreases with a Common Ion

Calcium fluoride (CaF₂) dissociates as follows:

CaF₂(s) ⇌ Ca²⁺(aq) + 2 F⁻(aq)

The equilibrium expression is Ksp = [Ca²⁺][F⁻]². Adding a source of Ca²⁺ (for example, CaCl₂) introduces a common ion that already appears in the equilibrium expression. According to Le Chatelier’s principle, the system responds by shifting the dissolution equilibrium to the left, reducing the concentrations of both Ca²⁺ and F⁻ until the product of the ion concentrations again equals Ksp. This shift results in a lower amount of CaF₂ that can dissolve.

  • Common‑ion effect: The addition of an ion already present in the equilibrium suppresses the solubility of the sparingly soluble salt.
  • Practical example: Adding NaF to a CaF₂ suspension also reduces solubility because the extra F⁻ ion drives the reaction leftward.

Redox Reactions and Galvanic Cells

Galvanic (voltaic) cells convert chemical energy into electrical energy through spontaneous redox reactions. Each half‑cell contains an electrode and an electrolyte, and the overall cell potential (E°cell) is the difference between the cathode and anode potentials.

Identifying the Cathode Reaction in a Zn/Cu Cell

Consider a cell composed of a zinc electrode (Zn/Zn²⁺) and a copper electrode (Cu²⁺/Cu) with a measured standard cell potential of +0.34 V. The standard reduction potentials are:

  • Zn²⁺ + 2 e⁻ → Zn E° = –0.76 V
  • Cu²⁺ + 2 e⁻ → Cu E° = +0.34 V

The more positive reduction potential corresponds to the reduction half‑reaction that occurs at the cathode. Therefore, Cu²⁺ + 2 e⁻ → Cu is the cathodic process, while zinc undergoes oxidation (Zn → Zn²⁺ + 2 e⁻) at the anode. The positive overall cell potential confirms that the reaction is spontaneous under standard conditions.

  • Mnemonic: “Cathode = reduction, anode = oxidation.”
  • Remember: The electrode with the higher (more positive) standard reduction potential serves as the cathode in a galvanic cell.

Reaction Kinetics: Order and Plots

Kinetic studies reveal how fast a reaction proceeds and which factors influence its rate. The reaction order with respect to a reactant determines the mathematical form of the integrated rate law.

Linearising First‑Order Kinetics

For a first‑order reaction A → products, the rate law is:

rate = k[A]

Integrating gives the expression:

ln[A] = –kt + ln[A]₀

Plotting ln[A] (y‑axis) versus time (x‑axis) yields a straight line with slope –k. This linear relationship allows experimental determination of the rate constant k from the slope of the best‑fit line.

  • Incorrect plots: 1/[A] vs. time (second‑order), [A]² vs. time (zero‑order), and [A] vs. time (does not linearise first‑order data).
  • Practical tip: Always verify the reaction order by testing multiple linearisation plots; the one that produces a straight line indicates the correct kinetic model.

Temperature Dependence of Rate Constants

The Arrhenius equation quantitatively describes how temperature influences the rate constant k:

k = A exp(–Ea/RT)

where A is the pre‑exponential factor, Ea the activation energy, R the gas constant, and T the absolute temperature.

Effect of Raising Temperature

Increasing T reduces the magnitude of the exponent (–Ea/RT), making the exponential term larger. Consequently, k increases, meaning the reaction proceeds faster. This relationship is often visualised in an Arrhenius plot (ln k vs. 1/T), where the slope equals –Ea/R.

  • Key insight: The pre‑exponential factor A is relatively temperature‑independent, so the dominant temperature effect arises from the exponential term.
  • Application: In industrial chemical engineering, raising reactor temperature is a common strategy to accelerate production rates, provided the reaction does not become thermodynamically unfavorable.

Summary and Key Takeaways

  • Lewis acid: An electron‑pair acceptor; in NH₃ + H⁺, the proton (H⁺) is the Lewis acid.
  • Common ion effect: Adding a common ion (e.g., Ca²⁺) shifts the dissolution equilibrium left, decreasing solubility of sparingly soluble salts like CaF₂.
  • Galvanic cell cathode: The half‑reaction with the more positive standard reduction potential occurs at the cathode; for a Zn/Cu cell, Cu²⁺ + 2 e⁻ → Cu is the cathodic reduction.
  • First‑order kinetics: A plot of ln[A] versus time yields a straight line; the slope equals –k.
  • Arrhenius equation: Raising temperature increases k because the exponential term exp(–Ea/RT) becomes larger.

By mastering these concepts, students gain a solid foundation for advanced topics in chemical thermodynamics, electrochemistry, and reaction engineering. The material is deliberately crafted to be both educational and SEO‑optimized, ensuring that learners and search engines alike recognise the relevance of this content to queries about Lewis acids, common ion effect, galvanic cells, first‑order reaction plots, and the Arrhenius temperature relationship.

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