Thermodynamics and Phase Diagrams
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Questions and Answers

The activity of ions in solution is quantified by the equation 𝜇𝑖 = 𝜇𝑖° + 𝑅𝑇 ln ______ + 𝑅𝑇 ln 𝛾𝑖.

i

According to the Debye Huckel Limiting Law, log10 𝛾± = −𝐴𝑧+ 𝑧− ______.

I

For the dissociation of Na3PO4 in water, it produces ______ Na+ ions and 1 PO43- ion.

3

The ionic strength I is calculated as I = 1/2______ z𝑖2, where the summation is over all ions.

<p>Σ</p> Signup and view all the answers

The mean activity of Na3PO4 in solution is found using a± = ϒ±[±], where [±] represents the mean ionic ______ of the salt.

<p>concentration</p> Signup and view all the answers

The standard enthalpy of formation for glucose (C6H12O6) is ______ kJ mol−1.

<p>-1273.0</p> Signup and view all the answers

Heat flows from a hotter body to a ______ body, not vice versa.

<p>colder</p> Signup and view all the answers

Higher entropy (S) implies greater ______; lower S indicates greater order.

<p>disorder</p> Signup and view all the answers

The change in entropy (ΔS) is key for determining the direction of ______ change.

<p>spontaneous</p> Signup and view all the answers

The first law of thermodynamics describes the ______ balance in a given process.

<p>energy</p> Signup and view all the answers

Gas molecules mix randomly when the partition is ______.

<p>removed</p> Signup and view all the answers

Entropy (S) decreases as temperature ______.

<p>decreases</p> Signup and view all the answers

The standard enthalpy of formation for oxygen (O2) is ______ kJ mol−1.

<p>0</p> Signup and view all the answers

One component, three phases in equilibrium: F = ______

<p>0</p> Signup and view all the answers

One component, two phases in equilibrium: F = ______

<p>1</p> Signup and view all the answers

Phase Diagrams illustrate which phases are ______ under specific conditions.

<p>stable</p> Signup and view all the answers

General phase diagram shows which phase (solid, liquid or ______) is most stable at pressure P and temperature T.

<p>vapour</p> Signup and view all the answers

Triple points allow for three phases at ______.

<p>equilibrium</p> Signup and view all the answers

Critical points signify conditions above which a substance exists as ______ fluid.

<p>supercritical</p> Signup and view all the answers

For carbon dioxide, the critical point is at ______ °C and 73.8 bar.

<p>31.1</p> Signup and view all the answers

Water's triple point occurs at 0.01 °C and ______ mbar.

<p>6.1</p> Signup and view all the answers

In a two component phase diagram, one would plot composition versus ______.

<p>pressure</p> Signup and view all the answers

In the equation F = C - P + 2, C stands for the number of ______.

<p>components</p> Signup and view all the answers

The temperature dependent interaction results in two liquid phases at the upper critical _____

<p>temperature</p> Signup and view all the answers

In a two-liquid system, when A-A and B-B interactions are stronger than A-B, _____ phases will form.

<p>two liquid</p> Signup and view all the answers

The composition point for three-component systems can be represented on a _____ phase diagram.

<p>ternary</p> Signup and view all the answers

When A-B interactions involve complex formation, it can lead to a lower critical _____

<p>temperature</p> Signup and view all the answers

Points on the sides of a ternary phase diagram represent systems with _____ components only.

<p>two</p> Signup and view all the answers

In a system where A and B are fully miscible, a solution of A in B occurs along the segment _____ to b.

<p>a</p> Signup and view all the answers

The interaction between A and B in a liquid phase is comparable to the interactions of A-A and _____

<p>B-B</p> Signup and view all the answers

Examples of two liquid systems include hexane/aniline and hexane/_____

<p>nitrobenzene</p> Signup and view all the answers

When two separate liquid phases are formed, they are both saturated _____ of their respective components.

<p>solutions</p> Signup and view all the answers

In an alcohol, oil, and water system, the alcohol acts as a _____ to facilitate mixing.

<p>surfactant</p> Signup and view all the answers

The pKa of NaHCO3 is ______.

<p>10.25</p> Signup and view all the answers

______ is the equation used to relate pH, pKa, and the ratio of acid to base in buffer solutions.

<p>Henderson-Hasselbalch</p> Signup and view all the answers

A solution of 1.0 moles of NaHCO3 at pH 9.50 will contain ______ moles of NaCO3-.

<p>0.004</p> Signup and view all the answers

The pKa of benzoic acid is ______.

<p>4.19</p> Signup and view all the answers

For a solution of pH 3.5, the ratio of benzoic acid to benzoate anion must be ______.

<p>0.13</p> Signup and view all the answers

Buffer solutions are more effective at ______ concentration.

<p>higher</p> Signup and view all the answers

In pharmaceutical solutions, it is essential to consider the effect of dissolved ______.

<p>ions</p> Signup and view all the answers

The addition of acid will shift the equilibrium towards the ______ form of the buffer.

<p>conjugate base</p> Signup and view all the answers

The degree of ionization in solution can be affected by factors like ______-solvent interactions.

<p>ion-ion</p> Signup and view all the answers

When calculating pH, the relationship between concentrations is often expressed using ______.

<p>logs</p> Signup and view all the answers

Study Notes

Thermodynamics

  • The first law of thermodynamics defines energy balance in a process
  • Enthalpy change (ΔH) is a key parameter
  • The first law does not indicate the favoured direction of a reaction
  • Entropy (S) measures the disorder or randomness of a system
  • Higher entropy signifies greater disorder
  • Entropy acts as a thermodynamic state function

Entropy and Temperature

  • Entropy is measured by the change in entropy (ΔS)
  • Entropy decreases as temperature decreases
  • One component with three phases in equilibrium at the triple point (F=0)
  • One component with two phases in equilibrium (F=1)

Phase Diagrams

  • General phase diagrams for pure substances (one component) show the most stable phase (solid, liquid, vapour) at a given pressure and temperature
  • The triple point is where three phases are in equilibrium
  • The critical point is where a supercritical fluid occurs that combines liquid and gas phases
  • Two component phase diagrams show the interplay of A-B interactions at a constant pressure, plotting composition vs. A-B interactions
  • Two liquids with an upper critical temperature show a single liquid phase above a specific temperature and two separated liquid phases below the critical point, where A-B interactions are weaker than A-A and B-B interactions.
  • Two liquids with a lower critical temperature show two separate liquid phases above a specific temperature and a single liquid phase below the critical point, where A-B interactions are stronger than A-A and B-B interactions.
  • Three component systems can be represented using triangular (ternary) phase diagrams, plotting constant temperature and pressure.

Systems with Variable Components

  • Ternary phase diagrams with alcohol, oil, and water show that components can be at different concentrations
  • pH relates to the concentrations of protonated (AH+) and non-protonated (A) forms of a species
  • The Henderson-Hasselbalch equation defines the relationship between pH, pKa, and these concentrations

Buffer Systems

  • The effectiveness of a buffer depends on its concentration and pKa
  • Adding acid to a buffer system alters the concentrations of the protonated and non-protonated forms

Ions in Solution

  • Ion behaviour is influenced by factors such as the degree of ionisation, solvation, ion-ion and ion-solvent interactions, external fields, and other phenomena
  • Activities must be considered in pharmaceutical solutions

Activities of Ions in Solution

  • Activity (ai) quantifies the effective concentration of a component
  • Activity is influenced by the activity coefficient (i)
  • The Debye-Hückel limiting law relates activity coefficient to ionic strength (I)

Ionic Strength

  • Ionic strength (I) quantifies the ionic field created by ions in solution
  • Ionic strength is influenced by the number of cations, anions and their charges
  • Ionic strength is used to calculate mean activity coefficient (ϒ±)
  • Mean activity coefficient (ϒ±) represents the deviation from ideal behaviour, reflecting the ionic environment
  • Mean activity (a±) is calculated using mean ionic concentration ([±]) and the mean activity coefficient (ϒ±)
  • Activities determine equilibria for ions in solution.

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Description

Explore the fundamental concepts of thermodynamics, focusing on the first law, enthalpy, and entropy. Understand phase diagrams for pure and two-component systems, including critical points and triple points. This quiz will challenge your knowledge of energy balance, temperature effects, and the stability of phases in thermodynamic processes.

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