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Questions and Answers

What is the correct expression for calculating the work done by a gas during expansion against a constant external pressure?

  • W = Pext(V1 - V2)
  • W = -Pext(V2 + V1)
  • W = Pext(V2 - V1)
  • W = -Pext(V2 - V1) (correct)
  • Which of the following statements about the work done by a system is true?

  • Work done by a system varies only with the initial and final states.
  • Work done by a system is not a state function. (correct)
  • Work done is independent of the process undertaken.
  • Work done by a system is a state function.
  • What is the equivalent amount of energy in joules for a work done of 242 calories?

  • 2420 J
  • 1012.528 J (correct)
  • 1000 J
  • 4.184 J
  • In an isothermal reversible expansion of an ideal gas, the external pressure is initially set equal to what?

    <p>Internal pressure of the gas (B)</p> Signup and view all the answers

    During the infinitesimal expansion of an ideal gas, how is the work done (dw) expressed?

    <p>dw = P × A × dV (C)</p> Signup and view all the answers

    What distinguishes isothermal reversible expansion from isothermal irreversible expansion of an ideal gas?

    <p>Reversible expansion follows a series of intermediate steps. (B)</p> Signup and view all the answers

    Which of the following correctly defines the relationship between work and the process undertaken for a gas?

    <p>Work is determined by the type of process (reversible or irreversible). (D)</p> Signup and view all the answers

    When a gas undergoes isothermal compression, how is the work done during this process characterized?

    <p>It is equal in magnitude to the work done during isothermal expansion. (A)</p> Signup and view all the answers

    What is the definition of molar heat capacity?

    <p>The amount of heat required to raise the temperature of one mole of a substance by one degree. (A)</p> Signup and view all the answers

    Which of the following statements regarding heat capacity is true?

    <p>Heat capacity must specify the process affecting temperature change. (B)</p> Signup and view all the answers

    What is the unit of molar heat capacity in the SI system?

    <p>Joules per degree per mole. (C)</p> Signup and view all the answers

    For a given process, what does the molar heat capacity at constant volume indicate?

    <p>The amount of heat required to increase the temperature without performing work. (D)</p> Signup and view all the answers

    Which equation relates the heat absorbed at constant pressure to temperature change?

    <p>q = C<del>p</del> (T<del>2</del> - T<del>1</del>) (C)</p> Signup and view all the answers

    What happens to the internal energy of a gas at constant volume when heat is added?

    <p>It increases as absorbed heat equals the change in internal energy. (B)</p> Signup and view all the answers

    Which relationship correctly describes the interaction of Cp and Cv?

    <p>C<del>p</del> is greater than C<del>v</del> due to work done on expansion. (D)</p> Signup and view all the answers

    What is the heat capacity at constant pressure denoted as?

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

    What is the relationship between molar heat capacities at constant pressure and constant volume for an ideal gas?

    <p>C_p - C_v = R (B)</p> Signup and view all the answers

    How is the amount of heat required to raise the temperature of a substance calculated?

    <p>q = nC(T_2 - T_1) (B)</p> Signup and view all the answers

    What is the molar heat capacity of water used in the heat calculation example?

    <p>18 cal/mol/K (C)</p> Signup and view all the answers

    What does the Joule-Thomson effect describe?

    <p>Cooling due to gas expansion from high pressure to low pressure. (D)</p> Signup and view all the answers

    What is the calculated value of ΔE for three moles of an ideal gas in the provided example?

    <p>750 cals (D)</p> Signup and view all the answers

    In the Joule-Thomson experiment, what is the effect of the porous plug?

    <p>Restricts the flow of gas during expansion. (A)</p> Signup and view all the answers

    What is the main purpose of the Joule-Thomson apparatus as described?

    <p>To measure the temperature change on gas expansion. (C)</p> Signup and view all the answers

    What is the value of the gas constant R in cal K^-1 mol^-1?

    <p>1.987 (C)</p> Signup and view all the answers

    What is the main focus of thermodynamics?

    <p>The flow of heat and energy into or out of a system (B)</p> Signup and view all the answers

    Which properties are significant in thermodynamics for evaluating energy flow?

    <p>Temperature, pressure, volume, and concentration (C)</p> Signup and view all the answers

    Which law of thermodynamics addresses the possibility of a physical or chemical change occurring under specific conditions?

    <p>First law of thermodynamics (D)</p> Signup and view all the answers

    Which of the following statements is a limitation of thermodynamics?

    <p>It does not account for microscopic systems of individual atoms or molecules. (D)</p> Signup and view all the answers

    What does thermodynamics NOT analyze?

    <p>The rate of a chemical reaction (C)</p> Signup and view all the answers

    How do the laws of thermodynamics relate to physical chemistry?

    <p>They derive all laws of physical chemistry from them. (B)</p> Signup and view all the answers

    Which law of thermodynamics is NOT one of the three empirical laws?

    <p>Zeroth law of thermodynamics (B)</p> Signup and view all the answers

    What aspect does thermodynamics primarily ignore?

    <p>The time factor in processes (D)</p> Signup and view all the answers

    What happens to the internal energy of an ideal gas during adiabatic expansion?

    <p>It decreases. (D)</p> Signup and view all the answers

    What defines an adiabatic process?

    <p>No heat exchange occurs between the system and surroundings. (C)</p> Signup and view all the answers

    In which condition does the equation PV^γ = constant apply?

    <p>Adiabatic process. (C)</p> Signup and view all the answers

    What is the relationship between Cp and Cv for an ideal gas?

    <p>Cp = Cv + R. (A)</p> Signup and view all the answers

    During isothermal expansion of an ideal gas, what happens to the temperature?

    <p>It remains constant. (D)</p> Signup and view all the answers

    For a monatomic ideal gas, what is the value of the ratio γ (Cp/Cv)?

    <p>1.67 (A)</p> Signup and view all the answers

    What is the primary difference between isothermal and adiabatic processes?

    <p>In isothermal processes, temperature remains constant, while in adiabatic processes, it changes. (D)</p> Signup and view all the answers

    Which of the following equations represents the first law of thermodynamics applied to an adiabatic process?

    <p>ΔE = w (A)</p> Signup and view all the answers

    What does ΔH represent in a chemical reaction at constant pressure?

    <p>Difference in enthalpy of reactants and products (D)</p> Signup and view all the answers

    In which scenario is ΔH equal to ΔE?

    <p>Reactions involving solids and liquids only (C)</p> Signup and view all the answers

    When can ΔH be zero?

    <p>When the enthalpies of reactants and products are equal (A)</p> Signup and view all the answers

    What type of reaction is characterized by a negative ΔH?

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

    Which of the following statements about PΔV in gas reactions is true?

    <p>It is significant when reactions occur at constant pressure (B)</p> Signup and view all the answers

    Which of the following denotes an endothermic reaction?

    <p>ΔH &gt; 0 (D)</p> Signup and view all the answers

    What is the formula for calculating ΔH for a chemical reaction?

    <p>ΔH = (H<del>C</del> + H<del>D</del>) - (H<del>A</del> + H<del>B</del>) (B)</p> Signup and view all the answers

    What is the significance of endothermic and exothermic reactions in a chemical process?

    <p>They describe the heat exchange with the surroundings (C)</p> Signup and view all the answers

    Flashcards

    Thermodynamics

    The study of energy flow (heat or other forms) into or out of a system during physical or chemical changes.

    System

    A specific part of the universe being studied, separated from the surroundings.

    Surroundings

    Everything outside the system that can interact with it.

    State of a System

    Defined by its properties like temperature, pressure, volume, and concentration.

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    Change in State

    Transition of a system from one state to another, involving changes in its properties.

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    First Law of Thermodynamics

    The total energy of an isolated system remains constant; energy cannot be created or destroyed, only transferred or transformed.

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    Macroscopic System

    A system containing a large number of particles, treated as bulk matter.

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    Microscopic System

    A system consisting of individual atoms or molecules, often studied in detail.

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    Work done by a system

    The work done by a system refers to the energy transferred from the system to its surroundings during a process. This energy transfer can occur through various mechanisms, such as expansion against external pressure.

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    State function

    A state function is a property that depends only on the current state of the system, not on how the system reached that state. Examples include internal energy, enthalpy, and entropy.

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    Work & Process

    Unlike state functions, work is a process function. This means the work done by a system depends on the specific path or process taken to reach a final state.

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    Reversible expansion

    Reversible expansion is a process where the system is always in equilibrium with its surroundings. In a reversible process, the system can be brought back to its original state by reversing the process. This is a theoretical ideal.

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    Irreversible expansion

    Irreversible expansion occurs when the system is not in equilibrium with its surroundings. In this case, the process cannot be reversed to return the system to its original state.

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    PV work

    PV work, or pressure-volume work, is the work done by a system during expansion or contraction. It's calculated by the change in volume multiplied by the external pressure.

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    Isothermal process

    An isothermal process is one that occurs at a constant temperature. During an isothermal process, heat flow into or out of the system occurs to maintain constant temperature.

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    How is isothermal expansion work calculated?

    The work done during an isothermal reversible expansion of an ideal gas is calculated using the formula: W = -nRT ln(V2/V1). This formula accounts for the change in volume and the constant temperature.

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    Heat Capacity (C)

    The amount of heat energy required to raise the temperature of a substance by one degree Celsius or Kelvin.

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    Molar Heat Capacity (c)

    The amount of heat energy required to raise the temperature of one mole of a substance by one degree Celsius or Kelvin.

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    Constant Volume Heat Capacity (Cv)

    The heat capacity of a system when the volume is held constant during the temperature change.

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    Constant Pressure Heat Capacity (Cp)

    The heat capacity of a system when the pressure is held constant during the temperature change.

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    Why is Cp usually greater than Cv?

    Because at constant pressure, some of the heat absorbed is used to do work by expanding the system, while at constant volume, all the heat goes into increasing internal energy.

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    Heat capacity is not a state function.

    The amount of heat absorbed (and thus the heat capacity) depends on the specific path taken to change the system's temperature, not just the initial and final states.

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    How is heat capacity related to internal energy?

    At constant volume, the heat absorbed (qv) is equal to the change in internal energy (ΔU). This is because no work is done when volume is constant.

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    What is the equation for calculating heat absorbed at constant pressure?

    qp = Cp * (T2 - T1), where qp is the heat absorbed at constant pressure, Cp is the molar heat capacity at constant pressure, and T2 and T1 are the final and initial temperatures, respectively.

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    Enthalpy Change (dH)

    The change in enthalpy of a system, denoted by dH, represents the heat absorbed or released at constant pressure.

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    Ideal Gas Equation

    For ideal gases, enthalpy (H) can be calculated as the sum of internal energy (E) and the product of pressure (P) and volume (V): H = E + PV.

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    Relationship between Cp and Cv

    For ideal gases, the difference between molar heat capacity at constant pressure (Cp) and constant volume (Cv) is equal to the gas constant (R): Cp - Cv = R.

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    Joule-Thomson Effect

    The phenomenon of cooling that occurs when a gas expands adiabatically from a region of high pressure to a region of low pressure.

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    Joule-Thomson Experiment

    An experiment devised by Joule and Thomson to measure the temperature change during the adiabatic expansion of a gas.

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    Partial Derivatives

    Derivatives that are calculated when one or more variables are held constant during the change of another.

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    Heat of Reaction at Constant Pressure

    The difference in enthalpy (ΔH) between products and reactants when a reaction occurs at constant pressure.

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    Heat of Reaction at Constant Volume

    The change in internal energy (ΔE) of the system when the reaction occurs at constant volume.

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    Exothermic Reaction

    A reaction that releases heat into the surroundings, making the enthalpy of products less than reactants (ΔH < 0).

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    Endothermic Reaction

    A reaction that absorbs heat from the surroundings, making the enthalpy of products greater than reactants (ΔH > 0).

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    Enthalpy

    The total heat content of a system at constant pressure.

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    ΔH = (H_products) - (H_reactants)

    The change in enthalpy (ΔH) is calculated by subtracting the enthalpy of reactants from the enthalpy of products.

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    ΔH = 0

    No heat is evolved or absorbed in the reaction. The enthalpies of products and reactants are equal.

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    PΔV is negligible

    The change in volume (ΔV) is minimal for reactions involving only solids and liquids. Therefore, the term PΔV, which represents work done against pressure, becomes negligible.

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    Adiabatic Process

    A thermodynamic process where no heat exchange occurs between the system and its surroundings.

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    What is the change in internal energy during an adiabatic process?

    The change in internal energy (∆E) is equal to the negative of the work done (w) by the system, as there is no heat transfer (q=0).

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    Why does temperature decrease during adiabatic expansion?

    The work done by the system during expansion is at the expense of its internal energy, leading to a decrease in temperature.

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    Inversion Temperature

    The temperature below which an ideal gas cools during an adiabatic expansion and above which it heats up.

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    Adiabatic Expansion Equation

    The relationship between pressure (P) and volume (V) during adiabatic expansion is PV^γ = constant, where γ is the adiabatic index.

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    Adiabatic Index (γ)

    The ratio of specific heat capacity at constant pressure (Cp) to specific heat capacity at constant volume (Cv).

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    Difference between Adiabatic and Isothermal Expansion

    In adiabatic expansion, temperature changes due to no heat exchange, while in isothermal expansion, temperature remains constant as heat is exchanged to compensate for work done.

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    Boyle's Law vs. Adiabatic Expansion

    Boyle's law (PV=constant) describes isothermal expansion where temperature is constant, while adiabatic expansion (PV^γ=constant) involves temperature change.

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    Study Notes

    Basic Concepts and First Law of Thermodynamics

    • Thermodynamics is the study of energy flow into or out of a system.
    • Properties like temperature, pressure, volume, and concentration are considered.
    • Changes in these properties between initial and final states give insights into energy changes and related quantities like heat and work.

    Three Empirical Laws of Thermodynamics

    • Thermodynamics is based on three generalizations or empirical laws.
    • Laws 1, 2, and 3 of thermodynamics are well-established generalizations.
    • These laws are independent of any particular theory about atomic or molecular structure.

    Applications of Thermodynamics

    • Many important principles of physical chemistry can be derived from thermodynamic laws. Examples include the Van't Hoff law, the phase rule, and the distribution law.
    • Thermodynamics can be used to predict whether or not a given physical or chemical transformation may occur under specific conditions, i.e., at specific temperature, pressure or concentration.
    • Thermodynamics helps predict the extent of a physical or chemical change until equilibrium is achieved

    Limitations of Thermodynamics

    • Thermodynamics is not applicable to microscopic systems.
    • Thermodynamics is used for bulk matter and not at the atomic level.

    Thermodynamic Terms and Basic Concepts

    • A system is the part of the universe under study.
    • Surroundings are the rest of the universe outside the system.
    • The boundary separates the system from its surroundings, it can be real or imagined.

    Homogeneous and Heterogeneous Systems

    • A homogeneous system is uniform throughout. Examples include pure solids, liquids, gases, and mixtures of gases and solutions.
    • A heterogeneous system is not uniform. Examples include mixtures of different phases like ice in contact with water and vapor.

    Types of Thermodynamic Systems

    • Isolated systems cannot transfer matter or energy to their surroundings.
    • Closed systems cannot transfer matter, but energy can be exchanged.
    • Open systems can exchange both matter and energy.

    Intensive and Extensive Properties

    • Intensive properties do not depend on the amount of matter. Examples include temperature, density, and concentration.
    • Extensive properties depend on the amount of matter. Examples include volume, mass, and enthalpy.

    State of a System

    • A system is in a certain state when all its properties are fixed.
    • A system’s state is determined by its thermodynamic parameters (or state variables) such as pressure (P), temperature (T), volume (V), mass and composition.
    • Important properties related with the states of the systems are called state variables or state functions.

    Equilibrium and Non-Equilibrium States

    • A system is in thermodynamic equilibrium if the state variables are constant throughout the system.
    • A system is in a non-equilibrium state if the state variables have different values in different parts of the system.

    Thermodynamic Processes

    • A thermodynamic process is the change of a system from one state to another.
    • Various types of processes include isothermal, adiabatic, isobaric, and isochoric.

    Reversible and Irreversible Processes

    • A reversible process is one that can be reversed by an infinitesimal change in conditions.
    • An irreversible process cannot be reversed in this way and proceeds spontaneously towards equilibrium.

    Nature of Heat and Work

    • Heat transfer is a form of energy associated with temperature differences.
    • Work done on/by a system involves force acting through a distance.
    • Standardized units such as Joules and calories are used to measure heat and work. -Sign conventions are used to denote whether heat is absorbed or released by the system and the system is performing work or having work done on it.

    Pressure-Volume Work

    • Pressure-Volume work is the work done when a system expands or contracts against a constant external pressure.
    • It is given by the formula, W = -PΔV, where W is the work done, P is the external pressure, and ΔV is the change in volume.

    Isothermal Reversible Expansion Work of an Ideal Gas

    • For an isothermal expansion/contraction with constant temperature of an ideal gas, the reversible work can be calculated as follows: W = -nRTln(V₂/V₁)

    Isothermal Irreversible Expansion Work of an Ideal Gas

    • For an irreversible isothermal expansion/contraction with constant temperature of an ideal gas, the irreversible work can be calculated: W =−P₂ΔV

    Maximum Work Done In Reversible Expansion

    • The maximum amount of reversible work done during an isothermal/adiabatic reversible expansion can be calculated based on initial and final conditions.
    • For an isothermal process, ΔE=0 and work done is given by equation W =−nRT ln(V₂/V₁)

    Molar Heat Capacities

    • The molar heat capacity at constant volume (Cv) is the heat required to increase the temperature of one mole of a substance by one Kelvin while the volume remains constant.
    • The molar heat capacity at constant pressure (Cp) is the heat required to increase the temperature of one mole of a substance by one Kelvin while the pressure remains constant.
    • The relationship between Cp and Cv Is: Cp - Cv = R

    Relation between Cp and Cv

    • The relationship between molar heat capacities, Cp (constant pressure), and Cv (constant volume), is derived via differentiating the enthalpy and internal energy expressions resulting with Cp - Cv = R

    Enthalpy of a System

    • Enthalpy is a state function defined as the sum of internal energy and the product of pressure and volume, H = E+PV
    • For a process occurring under constant pressure, the heat absorbed or evolved, is equal to the change in enthalpy (ΔH),

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