Thermodynamics Quiz
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Questions and Answers

What is the relationship between chemical potential and the overall free energy of a real system?

The overall free energy of a real system is the sum of the contributions from each component, represented by their respective chemical potentials.

How does the equation for free energy changes differ between ideal and real systems?

In ideal systems, free energy changes can be expressed simply as $ riangle G° = -RT ext{ln}K_{eq}$, while in real systems, it's framed as $ riangle G - riangle G° = RT ext{ln}K_{eq}$ indicating dependency on system conditions.

What role do activities play in the expressions of equilibrium constants for real systems?

Activities account for the non-ideal behavior of components in real systems and should be used in equilibrium expressions over concentrations.

In the context of free energy, what does the term $ riangle G$ represent in a system not at equilibrium?

<p>In a system not at equilibrium, $ riangle G$ represents the change in free energy that results from the difference between the system's current state and the equilibrium state.</p> Signup and view all the answers

How is the chemical potential of a component defined in a solution at constant temperature and pressure?

<p>The chemical potential of a component in a solution is defined as $ ext{μ}_i = ext{μ}_i° + RT ext{ln} a_i$, incorporating both standard chemical potential and the activity of the component.</p> Signup and view all the answers

What is the significance of ΔH in determining the direction of spontaneous change?

<p>ΔH indicates the change in enthalpy, which helps assess whether a process is exothermic or endothermic, but it does not alone determine spontaneity.</p> Signup and view all the answers

How does the concept of entropy relate to spontaneous processes?

<p>Entropy relates to the degree of disorder, with an increase in entropy (ΔS &gt; 0) often indicating a spontaneous process.</p> Signup and view all the answers

In what situation would a process with positive ΔH still be spontaneous?

<p>A process with positive ΔH can be spontaneous if it has a sufficiently large positive ΔS resulting in a greater overall increase in the Gibbs free energy change.</p> Signup and view all the answers

What is the relationship between heat flow and spontaneity as indicated in the content?

<p>Heat naturally flows from hotter to colder bodies, signifying that this direction of heat transfer is spontaneous.</p> Signup and view all the answers

Describe how molecular mixing demonstrates the concept of spontaneity.

<p>Molecular mixing occurs spontaneously in one direction, from ordered (separated) to disordered (mixed) when the partition is removed.</p> Signup and view all the answers

What factors must be considered to predict the equilibrium position of a process?

<p>To predict the equilibrium position, both the change in enthalpy (ΔH) and the change in entropy (ΔS) must be considered.</p> Signup and view all the answers

Can a process occur in the reverse direction of spontaneity, and under what condition?

<p>Yes, a process can occur in the reverse direction, but it would require external intervention to overcome the natural spontaneous tendency.</p> Signup and view all the answers

Explain the importance of temperature in relation to entropy changes.

<p>Temperature plays a vital role since entropy decreases as temperature decreases, indicating lower disorder and less spontaneity.</p> Signup and view all the answers

What determines the stability of a phase at a given temperature according to the Gibbs free energy equation?

<p>The phase with the lowest free energy G at temperature T is the most stable.</p> Signup and view all the answers

How does the enthalpy and entropy of solids at low temperatures affect their stability?

<p>Solids have large negative enthalpy and small entropy, making them the most stable phase at low temperatures.</p> Signup and view all the answers

Describe the characteristics of gas phases that contribute to their stability at high temperatures.

<p>Gas phases have enthalpy close to 0 and large positive entropy, leading to higher stability at high temperatures.</p> Signup and view all the answers

How does the Gibbs Phase Rule relate to the flexibility of changing temperature and pressure in a system of phases?

<p>The Phase Rule (F = C - P + 2) indicates the number of degrees of freedom for changing temperature and pressure without altering phases.</p> Signup and view all the answers

What does a phase diagram illustrate about the relationships between different phases?

<p>A phase diagram illustrates the conditions, specifically temperature and pressure, at which different phases coexist and change from one to another.</p> Signup and view all the answers

Explain the significance of the points Tvap and Tfus in a phase diagram.

<p>Tvap is the temperature of vaporization, and Tfus is the temperature of fusion; these points indicate phase transitions for pure substances.</p> Signup and view all the answers

In terms of phase equilibrium, how do multiple phases and components affect a dosage formulation?

<p>A dosage formulation may contain multiple phases and components, complicating the equilibrium and stability of the formulation.</p> Signup and view all the answers

What state of matter is typically most stable at low temperatures and why?

<p>Solids are typically the most stable state at low temperatures due to their large negative enthalpy and low entropy.</p> Signup and view all the answers

How does the concept of degrees of freedom apply when examining a system with C components and P phases?

<p>Degrees of freedom (F) quantify how many independent changes can be made to phase conditions without changing the number of phases.</p> Signup and view all the answers

Why is it important to understand phase equilibria in pharmaceutical formulations?

<p>Understanding phase equilibria is crucial for predicting stability and interactions in complex dosage forms that affect drug efficacy.</p> Signup and view all the answers

What does the reduced phase rule F = C - P + 1 represent in a simple eutectic system?

<p>It represents the relationship between the degrees of freedom (F), the number of components (C), and the number of phases (P) present in the system.</p> Signup and view all the answers

What are the characteristics of a eutectic point in a phase diagram?

<p>The eutectic point is where solid and liquid phases coexist in equilibrium at a fixed temperature and composition.</p> Signup and view all the answers

In the context of a phase diagram, what does the term 'composition' refer to?

<p>Composition refers to the percentage of each component (A and B) present in the mixture.</p> Signup and view all the answers

Explain the significance of the four regions shown in a simple eutectic phase diagram.

<p>The four regions indicate the states of the system: all liquid, all solid, two regions of solid suspended in liquid, and the eutectic point.</p> Signup and view all the answers

Why is the naphthalene/benzene system often used as an example of a simple eutectic system?

<p>It exhibits clear phase behavior and distinct regions that correspond to different states and compositions.</p> Signup and view all the answers

What happens to the composition in the liquid phase as the temperature decreases in a eutectic system?

<p>As temperature decreases, the composition may approach the eutectic point where solid and liquid phases can coexist.</p> Signup and view all the answers

Describe the two solid regions in a simple eutectic system.

<p>One region contains solid A at a higher percentage of A, while the other region contains solid B at a higher percentage of B.</p> Signup and view all the answers

What role does empirical measurement play in determining the eutectic point?

<p>Empirical measurement is necessary to identify the exact eutectic point since it varies based on the specific components involved.</p> Signup and view all the answers

How does the concept of phases apply when analyzing a simple eutectic system?

<p>Phases refer to the distinct states of matter (solid, liquid) present in the system at specific compositions and temperatures.</p> Signup and view all the answers

What is the significance of the temperature (T) in relation to the phase behavior of a eutectic system?

<p>Temperature plays a critical role in determining which phases are stable and in what proportions they exist.</p> Signup and view all the answers

What does a negative $ riangle G$ indicate about a thermodynamic process?

<p>A negative $ riangle G$ indicates that the process is spontaneous and will proceed in the preferred direction.</p> Signup and view all the answers

In the equation $ riangle G = riangle H - T riangle S$, what does the term $ riangle H$ represent?

<p>The term $ riangle H$ represents the change in enthalpy of the system.</p> Signup and view all the answers

When will a process reach equilibrium in terms of Gibbs free energy?

<p>A process reaches equilibrium when $ riangle G = 0$.</p> Signup and view all the answers

Explain the significance of $ riangle S$ being positive in the context of the EDTA complexation of Mg2+.

<p>A positive $ riangle S$ indicates increased disorder, largely due to the release of solvent molecules and ionic species.</p> Signup and view all the answers

Why is the process of EDTA complexation considered to go essentially to completion?

<p>The process is considered to go to completion because it is highly favored thermodynamically with a significant negative $ riangle G$.</p> Signup and view all the answers

What is the standard free energy change $ riangle G^ heta$, and why is it important?

<p>The standard free energy change $ riangle G^ heta$ is the change in free energy under standard conditions, crucial for predicting reaction spontaneity.</p> Signup and view all the answers

Calculate $ riangle S^ heta$ for the ATP to ADP reaction given $ riangle G^ heta = -30.5$ kJ mol−1 and $ riangle H^ heta = -20.1$ kJ mol−1.

<p>Using the equation, $ riangle S^ heta = rac{ riangle H - riangle G}{T} = rac{-20.1 - (-30.5)}{310} = 0.049 kJ K^{-1} mol^{-1}$.</p> Signup and view all the answers

Given $ riangle H^ heta = 250.8$ kJ mol−1 and $ riangle S^ heta = 752$ J K−1 mol−1, determine the temperature above which protein unfolding is spontaneous.

<p>The temperature is calculated as $T &gt; rac{ riangle H}{ riangle S} = rac{250800}{752} ightarrow T &gt; 333.3$ K and hence above 60.3 °C.</p> Signup and view all the answers

What does a high positive value of $ riangle H$ suggest about a biochemical reaction?

<p>A high positive value of $ riangle H$ suggests the reaction is endothermic, requiring energy input to proceed.</p> Signup and view all the answers

How can the relative contributions of enthalpy and entropy determine the overall spontaneity of a process?

<p>The relative contributions can be analyzed through $ riangle G$, where if the $ riangle H$ is small &amp; positive but $ riangle S$ is significantly positive, $ riangle G$ can still be negative, indicating spontaneity.</p> Signup and view all the answers

Explain how the law of mass action relates to the concept of dynamic equilibrium.

<p>The law of mass action states that the rate of a reaction is proportional to the product of the concentrations of the reactants, which allows for the determination of equilibrium concentrations in dynamic equilibrium.</p> Signup and view all the answers

What is the significance of the equilibrium constant (Keq) in relation to the concentrations of products and reactants?

<p>The equilibrium constant (Keq) quantifies the ratio of the concentrations of products to reactants at equilibrium, providing insight into the favorability of a reaction.</p> Signup and view all the answers

In a pharmaceutical context, how does drug partitioning between aqueous and lipid phases affect drug efficacy?

<p>Drug partitioning between aqueous and lipid phases influences the availability and absorption of the drug in biological systems, thereby affecting its therapeutic efficacy.</p> Signup and view all the answers

Define the role of stoichiometries in calculating the equilibrium constant for a chemical reaction.

<p>Stoichiometries determine the coefficients used in the equilibrium constant equation, indicating the relative amounts of reactants and products involved in the chemical reaction.</p> Signup and view all the answers

Discuss the implications of a chemical system reaching dynamic equilibrium.

<p>When a chemical system reaches dynamic equilibrium, the concentrations of reactants and products remain constant, although individual reactions continue to occur in both directions.</p> Signup and view all the answers

How can the concept of dynamic equilibrium be illustrated through reversible reactions?

<p>Dynamic equilibrium can be illustrated by reversible reactions, where the rates of the forward and reverse reactions become equal, leading to stable concentrations of all species involved.</p> Signup and view all the answers

Explain the influence of temperature on the equilibrium position of a reaction.

<p>Temperature can shift the equilibrium position of a reaction, favoring either the reactants or products depending on whether the reaction is exothermic or endothermic.</p> Signup and view all the answers

What does the term 'concentration' signify in the context of equilibrium reactions?

<p>In equilibrium reactions, 'concentration' refers to the amount of a substance present per unit volume, which affects the reaction rates and equilibrium constant.</p> Signup and view all the answers

Explain how chemical potential contributes to the free energy of a real system with multiple components.

<p>Chemical potential reflects the change in free energy with respect to the number of moles of a component, thus allowing for the total free energy of a real system to be expressed as the sum of the chemical potentials of each component multiplied by their respective mole fractions.</p> Signup and view all the answers

Describe the implications of using activities instead of concentrations in equilibrium expressions for real systems.

<p>Using activities provides a more accurate representation of the effective concentration of a species in a solution, accounting for interactions between molecules, leading to better predictions of equilibrium behavior in real systems.</p> Signup and view all the answers

What is the role of temperature and pressure in determining the chemical potential of components in a system?

<p>Temperature and pressure directly influence the chemical potential by affecting kinetic energy and molecular interactions, which alter how components behave and interact with one another within the system.</p> Signup and view all the answers

How does the change in free energy ($ riangle G$) relate to the concept of equilibrium in a chemical reaction?

<p>At equilibrium, the change in free energy $ riangle G$ is zero, indicating that the forward and reverse reactions occur at the same rate, and the system is in a state of dynamic balance.</p> Signup and view all the answers

What does the equation $G_{T,P} = u_A u_A + u_B u_B + u_C u_C$ signify in the context of a real system?

<p>The equation signifies that the total free energy of a system is the sum of the contributions from each component, each represented by their chemical potential weighted by the number of moles, reflecting the system's composition.</p> Signup and view all the answers

How does the change in entropy (ΔS) influence the direction of spontaneous processes?

<p>A positive change in entropy (ΔS) indicates an increase in disorder, which favors spontaneity in a process.</p> Signup and view all the answers

What role does enthalpy (ΔH) play in determining the spontaneity of a chemical reaction?

<p>Enthalpy change (ΔH) helps predict whether a reaction releases or absorbs heat, impacting its spontaneity.</p> Signup and view all the answers

In which scenario might a process with negative ΔS still be spontaneous?

<p>If the enthalpic contribution (ΔH) is sufficiently large and negative, it can drive the process despite a decrease in entropy.</p> Signup and view all the answers

Explain the significance of the first law of thermodynamics in relation to spontaneous change.

<p>The first law of thermodynamics states that energy is conserved, indicating that the energy balance must be maintained during spontaneous changes.</p> Signup and view all the answers

What is the relationship between temperature and entropy as observed in single-component systems?

<p>As temperature decreases, the entropy of a system typically decreases, indicating a reduction in disorder.</p> Signup and view all the answers

How does the spontaneity of mixing gases demonstrate thermodynamic principles?

<p>Gases spontaneously mix due to an increase in entropy, reflecting the natural tendency toward disorder in thermodynamic systems.</p> Signup and view all the answers

What implications do interventions have in the context of non-spontaneous processes?

<p>Interventions can drive non-spontaneous processes to occur, often requiring an external energy input to overcome entropic barriers.</p> Signup and view all the answers

Why is entropy considered a thermodynamic state function?

<p>Entropy is classified as a state function because its value depends only on the current state of the system, not on the path taken to reach that state.</p> Signup and view all the answers

Describe the principle behind spontaneous heat flow between two bodies of different temperatures.

<p>Heat spontaneously flows from a hotter body to a colder body due to the tendency to reach thermal equilibrium, reflecting an increase in overall entropy.</p> Signup and view all the answers

How can understanding the direction of spontaneous change aid in predicting equilibrium?

<p>Assessing the direction of spontaneous change helps determine how and when a system will reach equilibrium by balancing enthalpy and entropy influences.</p> Signup and view all the answers

What happens to liquids A and B at temperatures above the upper critical temperature?

<p>A and B become fully miscible, forming a single liquid phase.</p> Signup and view all the answers

What condition leads to two separate liquid phases in a mixture of A and B?

<p>The presence of stronger A-A and B-B interactions than A-B interactions.</p> Signup and view all the answers

Describe the significance of a lower critical temperature in two-liquid phase systems.

<p>Below the lower critical temperature, A and B are less miscible, leading to phase separation.</p> Signup and view all the answers

What does a ternary phase diagram represent?

<p>It illustrates the phase behavior of three components at constant temperature and pressure.</p> Signup and view all the answers

In the context of a binary liquid system, what do points on the sides of a ternary phase diagram indicate?

<p>They indicate compositions consisting of only two components from the three present.</p> Signup and view all the answers

Identify a scenario where two liquids might exhibit strong interactions resulting in a lower critical temperature.

<p>The interaction between triethylamine and water is a known example.</p> Signup and view all the answers

What effect does a surfactant have in an oil-water-alcohol system?

<p>Surfactants reduce the interfacial tension between the liquid phases.</p> Signup and view all the answers

Explain the implications of having a composition at point O in a ternary phase diagram.

<p>Point O represents a specific ratio among the three components, dictating the phase behavior.</p> Signup and view all the answers

How do phase diagrams aid in understanding liquid-liquid interactions?

<p>They visually represent the conditions under which different phases coexist.</p> Signup and view all the answers

What is the effect of temperature on the miscibility of two liquids that display upper critical solution behavior?

<p>As temperature increases, the miscibility of the two liquids improves until they become fully mixed.</p> Signup and view all the answers

What is the significance of large drops in entropy at phase transitions?

<p>Large drops in entropy at phase transitions indicate a transition from a less ordered to a more ordered phase, reflecting a significant change in the system's organization.</p> Signup and view all the answers

How does temperature affect entropy within the same phase?

<p>Within the same phase, decreasing temperature generally leads to a decrease in entropy as the system becomes more ordered.</p> Signup and view all the answers

What does the 3rd Law of Thermodynamics state about entropy at absolute zero?

<p>The 3rd Law of Thermodynamics states that at 0 K, the entropy ($S$) of a perfect crystal is equal to 0 J mol−1 K−1.</p> Signup and view all the answers

Explain the relationship between heat (q), temperature (T), and entropy (S).

<p>Heat is expressed as $q = T \times S$, indicating that heat transfer is directly proportional to both the temperature and the change in entropy.</p> Signup and view all the answers

Differentiate between reversible and irreversible processes in thermodynamics.

<p>Reversible processes can be reversed without changes in the system or surroundings, while irreversible processes cannot return to their original state once changed.</p> Signup and view all the answers

Why is understanding entropy change ($\Delta S$) crucial for spontaneous processes?

<p>Understanding $\Delta S$ is crucial because a positive change in entropy often indicates that a process can occur spontaneously by increasing disorder in the universe.</p> Signup and view all the answers

How does the intensity factor and capacity factor relate to energy types?

<p>The intensity factor represents the driving force (e.g., force or temperature) while the capacity factor represents the extent of that force (e.g., distance or entropy).</p> Signup and view all the answers

What implications does a system being at dynamic equilibrium have for the processes occurring within it?

<p>Dynamic equilibrium implies that, despite ongoing processes, the system remains in a consistent state at equilibrium, with no net change in its properties.</p> Signup and view all the answers

What would a system at absolute zero imply for molecular motion and disorder?

<p>A system at absolute zero would imply that molecular motion ceases completely, leading to maximum order and minimal entropy.</p> Signup and view all the answers

In context, what does the phrase 'irreversible process' indicate about energy transformation?

<p>An irreversible process signifies that energy transformations result in a net increase in entropy, leading the system away from its original state.</p> Signup and view all the answers

Study Notes

Thermodynamics

  • The first law of thermodynamics describes the energy balance of a process.
  • The change in enthalpy (ΔH) is a key parameter.
  • The first law of thermodynamics does not indicate the preferred direction of a process, only the energy balance.
  • To predict the position of equilibrium, we need to know ΔH and the direction of spontaneous change.

Spontaneous Processes

  • Many processes occur in only one direction, called spontaneous processes.
  • Example: heat flows from a hotter body to a colder body, not vice versa.
  • A spontaneous process can occur in reverse, but this requires intervention.
  • Entropy (S) is the degree of disorder or randomness of a system.
  • Higher S implies greater disorder, and lower S implies greater order or organisation.
  • The change in entropy (ΔS) determines the direction of spontaneous change.

Gibbs Free Energy (G)

  • Gibbs free energy (G) is a thermodynamic state function.
  • ΔG = ΔH - TΔS
  • If ΔG < 0, the process is spontaneous in the forward direction.
  • If ΔG = 0, the process is at equilibrium.
  • If ΔH dominates, the process is enthalpy-controlled.
  • If TΔS dominates, the process is entropy-controlled.

Standard States of Free Energies

  • G° is the value of G for a pure substance under 1 atmosphere of pressure at a specified temperature.
  • ΔG° is the change in free energy when 1 mole of reactants in their standard states are converted to 1 mole of products in their standard states.

Chemical Potential (μ)

  • In real systems, total G cannot be determined simply by adding the free energies of each component.
  • The chemical potential (μ) represents the contribution of each component to the overall free energy.
  • μ is a thermodynamic state function that depends on temperature, pressure, and the composition of the system.

Activity (ai)

  • Activity (ai) is directly proportional to concentration ([i]) but represents the effective concentration of a component in a solution.
  • Activities, not concentrations, should be used in expressions of equilibrium constants.
  • Concentrations are often used as approximations.

Components & Phases

  • A system can be made up of different components, such as API (Active Pharmaceutical Ingredient) and excipients (inactive ingredients).
  • These components can exist in various phases, such as solid phase, immiscible liquids, and gaseous phases.
  • The components within a system can be partitioned between phases, meaning they can be found in different combinations throughout the system.
  • These systems with multiple components and phases exist in dynamic equilibrium.

The Law of Mass Action & Equilibrium Constants

  • The law of mass action describes how the rates of forward and reverse reactions relate to the concentrations of reactants and products.
  • At equilibrium, the rates of the forward and reverse reactions are equal, resulting in constant concentrations of reactants and products.
  • This dynamic equilibrium is maintained even though the reactions continue to occur.
  • Equilibrium constants (Keq) describe the relative amounts of reactants and products at equilibrium.
  • The stoichiometries (a, b, c, and d) of the reactants and products play a significant role in determining the value of the equilibrium constant.

Examples of Pharmaceutical Processes and Equilibria

  • Drug partitioning between an aqueous medium (e.g., cell interior) and a lipid medium (e.g., cell membrane) is an example of an equilibrium process.
  • The equilibrium constant (Keq), also known as partition coefficient (P), represents the ratio of drug concentration in the lipid phase to the drug concentration in the aqueous phase.

Spontaneous Change & Entropy

  • The first law of thermodynamics describes energy balance but doesn't predict the direction of spontaneous change.
  • Entropy (S) is a measure of the disorder or randomness of a system.
  • Higher entropy implies greater disorder; lower entropy implies greater order.
  • The change in entropy (ΔS) is a key factor in determining the direction of spontaneous change.

Entropy & Temperature

  • Entropy decreases as temperature decreases.
  • Phase transitions (e.g., solid to liquid) result in significant drops in entropy.
  • Within the same phase, entropy generally decreases with decreasing temperature.
  • Entropy is a state function (the value depends on the initial and final state).
  • The third law of thermodynamics states that the entropy of a perfect crystal at absolute zero is zero.

Heat & Entropy

  • Heat (q) is a form of energy that can be described as an intensity factor (temperature, T) multiplied by a capacity factor (entropy, S).
  • Therefore, q = T × S and the change in entropy for a process can be calculated as ΔS = q / T.

Reversible & Irreversible Processes

  • Spontaneous processes occur when a system and its surroundings are not at equilibrium.
  • These processes are irreversible and continue until equilibrium is achieved.
  • Reversible processes occur when a system and its surroundings are at equilibrium.
  • These processes are characterized by dynamic equilibrium, where infinitesimal changes in the system and surroundings are maintained at equilibrium.

Reversible Transfer of Heat

  • The reversible transfer of heat is dependent on temperature due to interactions between components.

Two Liquid Systems: Upper & Lower Critical Temperatures

  • At a constant pressure, a mixture of two liquids can exhibit an upper critical temperature or a lower critical temperature.
  • The upper critical temperature is where the two liquids become fully miscible above that temperature.
  • Below the upper critical temperature, two separate liquid phases exist.
  • The lower critical temperature is where the two liquids are fully miscible below that temperature.
  • Above the lower critical temperature, two separate liquid phases exist.
  • These phase behavior patterns are determined by the relative strengths of intermolecular forces between the different components.

Three Component Systems & Triangular Phase Diagrams

  • Triangular phase diagrams are used to represent three-component systems at constant temperature (T) and pressure (P).
  • The apices of the triangle represent the pure components (A, B, and C).
  • Points along the sides represent mixtures of two components.
  • Points within the triangle represent the composition of mixtures of all three components.

Alcohol, Oil, and Water Systems & Chemical Potential

  • The free energy (G) of a system is a function of pressure (P), volume (V), and temperature (T).
  • For an ideal three-component system (A, B, and C), the total free energy (G) is the sum of the individual free energies (GA + GB + GC).
  • In real systems, the contribution of each component to the total free energy is represented by its chemical potential (𝜇).

Chemical Potential & Free Energy

  • The chemical potential (𝜇) accounts for the mutual interactions of components within a real system.
  • The total free energy (GT,P) of a real system with three components can be expressed as the sum of the product of the chemical potential of each component and its number of moles: 𝐺𝑇,𝑃 = 𝜇𝐴 𝑛𝐴 + 𝜇𝐵 𝑛𝐵 + 𝜇𝐶 𝑛𝐶.

Free Energy Changes in Real Systems

  • For a process at equilibrium, the change in standard free energy (ΔG°) is related to the equilibrium constant (Keq) by the equation ΔG° = −RTlnKeq.
  • For a system not at equilibrium, the change in free energy (ΔG) can be calculated from the standard free energy change (ΔG°) and the equilibrium constant (Keq) using the equation ΔG − G° = RTlnKeq.
  • For an ideal gas, the free energy change (ΔG) is related to the pressure (P) and standard free energy (G°) by the equation ΔG = G° + RTln(P/P°).
  • For a real system, such as a solution, the chemical potential (𝜇i) of component i is related to its standard chemical potential (𝜇i°) and activity (ai) by the equation 𝜇𝑖 = 𝜇𝑖° + 𝑅𝑇 ln 𝑎𝑖.
  • Activity (ai) is related to but not equal to concentration ([i]).

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Test your knowledge on thermodynamics, focusing on the first law, spontaneous processes, and Gibbs Free Energy. Explore concepts such as energy balance, enthalpy, entropy, and the criteria for spontaneity in chemical processes. Challenge yourself with questions that evaluate your understanding of these fundamental topics.

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