Limitations of First Law of Thermodynamics
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Questions and Answers

What does the First Law of Thermodynamics state?

  • The direction of energy transfer is always from higher to lower temperature.
  • Energy can be created or destroyed.
  • Energy is conserved, but the direction of energy transfer is not specified. (correct)
  • Only heat energy can be transferred, not work.
  • What is a limitation of the First Law of Thermodynamics?

  • It specifies the direction of energy transfer.
  • It only applies to closed systems.
  • It only applies to open systems.
  • It does not specify the direction of energy transfer. (correct)
  • What happens when an ice cream is left open to the atmosphere?

  • It solidifies without doing any work.
  • It absorbs heat and gets melted. (correct)
  • It becomes colder than the atmosphere.
  • It remains unchanged.
  • In Joule's experiment, what happens to the temperature of the water?

    <p>It increases due to the work transforming into heat.</p> Signup and view all the answers

    What happens to the brakes of a stopped vehicle?

    <p>Their internal energy increases due to the decrease in kinetic energy.</p> Signup and view all the answers

    What is the purpose of studying the second law of thermodynamics?

    <p>To understand the limitations of the first law of thermodynamics</p> Signup and view all the answers

    What is a thermal reservoir?

    <p>A large system with a high thermal energy capacity</p> Signup and view all the answers

    What is the efficiency of a heat engine?

    <p>The ratio of output work to input heat</p> Signup and view all the answers

    What is the Coefficient of Performance (COP) of a refrigerator?

    <p>The ratio of heat removed from the cold reservoir to the work done</p> Signup and view all the answers

    What is the relation between the COP of a heat pump and the efficiency of a heat engine?

    <p>They are reciprocal</p> Signup and view all the answers

    What is a characteristic of a reversible process?

    <p>It is internally and externally reversible.</p> Signup and view all the answers

    What is the main difference between a reversible and irreversible process?

    <p>The presence of friction.</p> Signup and view all the answers

    What is the purpose of the cylinder head in a Carnot cycle?

    <p>To act as a perfect heat conductor or insulator.</p> Signup and view all the answers

    What is the result of heat transfer during an irreversible process?

    <p>Heat is generated and transferred to the surroundings.</p> Signup and view all the answers

    What is the name of the machine that converts internal energy from the atmosphere into work with 100% efficiency?

    <p>PMM-II</p> Signup and view all the answers

    What is the definition of thermal efficiency of a Carnot engine?

    <p>The ratio of work output to heat input</p> Signup and view all the answers

    What is the expression for the efficiency of a Carnot engine?

    <p>1 - (T_c / T_h)</p> Signup and view all the answers

    Why is a Carnot cycle not practical for real-world engines?

    <p>Because it is not possible to perform a frictionless process and the piston needs to move slowly for isothermal process</p> Signup and view all the answers

    What is the significance of the Carnot theorem?

    <p>It states that no heat engine can have a higher efficiency than a reversible engine</p> Signup and view all the answers

    What is the temperature of the triple point of water in Kelvin?

    <p>273.16 K</p> Signup and view all the answers

    What is the characteristic of the absolute thermodynamic temperature scale?

    <p>It is a function of temperature only</p> Signup and view all the answers

    What is the characteristic of the thermodynamic temperature scale?

    <p>It is a linear scale.</p> Signup and view all the answers

    What is the purpose of the reverse Carnot cycle?

    <p>To transfer heat from a colder body to a hotter body.</p> Signup and view all the answers

    What is the inequality of Clausius?

    <p>(dQ/T) = 0</p> Signup and view all the answers

    What is entropy typically measured in?

    <p>Joules per Kelvin (J/K)</p> Signup and view all the answers

    What is the significance of entropy being a state function?

    <p>It means that only changes in entropy are important.</p> Signup and view all the answers

    What is the relationship between entropy and the number of possible microstates in a system?

    <p>Higher entropy corresponds to a larger number of possible microstates.</p> Signup and view all the answers

    What happens to the total entropy of an isolated system over time?

    <p>It always increases.</p> Signup and view all the answers

    What is the significance of the principle of increase of entropy?

    <p>It implies that energy becomes less available to do work.</p> Signup and view all the answers

    What is a characteristic of a reversible process?

    <p>Entropy remains constant.</p> Signup and view all the answers

    What is the relationship between entropy and the amount of energy unavailable to do work?

    <p>Higher entropy corresponds to less energy available to do work.</p> Signup and view all the answers

    Why is it impossible to restore the initial state of an isolated system?

    <p>Because entropy always increases.</p> Signup and view all the answers

    What is the significance of the second law of thermodynamics?

    <p>It implies that entropy always increases in a closed system.</p> Signup and view all the answers

    What happens to the disorder and randomness of a system over time?

    <p>They always increase.</p> Signup and view all the answers

    What is the implication of the second law of thermodynamics on the behavior of energy and matter?

    <p>It implies that energy becomes less available to do work over time.</p> Signup and view all the answers

    What is the sole effect of an engine working in a cyclic process according to Kelvin-Plank statement?

    <p>To convert only part of the heat supplied to it into an equivalent amount of work</p> Signup and view all the answers

    What is the violation of Kelvin-Plank statement equivalent to?

    <p>Violation of Clausius statement</p> Signup and view all the answers

    What is a Perpetual Motion Machine of the second kind (P.M.M.-II)?

    <p>A machine that converts all the internal energy into useful work with 100% efficiency</p> Signup and view all the answers

    What is the purpose of a reversible process?

    <p>To determine the maximum possible efficiency of a heat engine</p> Signup and view all the answers

    Which of the following is a characteristic of a Perpetual Motion Machine of the first kind (P.M.M.-I)?

    <p>It gives continuous work without receiving energy from other systems</p> Signup and view all the answers

    Study Notes

    Limitation of First Law of Thermodynamics

    • First law of thermodynamics states that energy is conserved, but it does not specify the direction of energy transfer.
    • The first law is necessary but not sufficient for a process to occur.
    • Examples of the limitation of the first law:
      • Ice cream melting when left open to the atmosphere, but it does not solidify back without external work.
      • Joule's experiment, where the fall of weight causes rotation of paddle and increases temperature of water, but increase in temperature of water does not lift the weight.
      • A running vehicle stopping due to brakes, where the internal energy of brakes increases, but the hot brakes do not cause the wheels to rotate.

    Basic Definitions

    • Thermal reservoir: a large system that can absorb or release energy as heat without changing its temperature.
    • Heat engine: a cyclically operating device that absorbs energy as heat from a high-temperature reservoir, converts part of it into work, and rejects the rest to a low-temperature reservoir.
    • Efficiency of a heat engine: ratio of work output to heat supply.
    • Heat pump: a device that transfers heat energy from a cold body to a hot body, using a small amount of external work.

    Second Law of Thermodynamics

    • Kelvin-Planck statement: it is impossible to construct an engine that converts all the heat energy into work.
    • Clausius statement: it is impossible to construct a heat pump that transfers heat from a cold body to a hot body without external work.
    • Both statements are equivalent and imply that it is impossible to have a machine that violates the second law of thermodynamics.

    Perpetual Motion Machines (PMM)

    • PMM-I: a machine that violates the first law of thermodynamics, producing work without energy input.
    • PMM-II: a machine that violates the second law of thermodynamics, converting internal energy into work with 100% efficiency.
    • Both types of PMM are impossible.

    Concept of Reversibility and Irreversibility

    • Reversible process: a process that can be reversed without changing the system or surroundings.
    • Irreversible process: a process that cannot be reversed, resulting in a change in the system or surroundings.
    • Causes of irreversibility: friction, heat transfer, and other factors.

    Carnot Cycle

    • A reversible cycle that consists of four processes: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression.
    • The Carnot cycle is the most efficient cycle possible, with an efficiency of 1 - (T_c / T_h), where T_c and T_h are the temperatures of the cold and hot reservoirs, respectively.

    Carnot Theorem

    • All heat engines operating between a given temperature source and sink have an efficiency less than or equal to the Carnot engine.
    • The Carnot theorem is a fundamental limit on the efficiency of heat engines.

    Absolute Thermodynamic Temperature Scale

    • A temperature scale based on the principles of thermodynamics, with the triple point of water defined as 273.16 K and absolute zero defined as 0 K.
    • The absolute temperature scale is a universal scale that is applicable to all systems, regardless of their composition or state.

    Reverse Carnot Cycle (Carnot Refrigeration Cycle)

    • A cycle that operates in reverse, transferring heat from a cold body to a hot body using external work.### The Carnot Cycle
    • The Carnot cycle is a thermodynamic cycle that uses a refrigerant to transfer heat from a colder body to a hotter body.
    • The cycle consists of four stages: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression.
    • The reverse Carnot cycle is the basis for most refrigeration systems, including household refrigerators and freezers, industrial chillers, and cryogenic coolers.

    The Inequality of Clausius

    • The inequality of Clausius states that (dQ/T) = 0, where dQ is the amount of heat transferred and T is the temperature at which the heat transfer occurs.
    • The inequality indicates that in a reversible process, the integral is equal to zero (S = Q/T), while in an irreversible process, the integral is less than zero (S > Q/T).
    • The inequality is a statement of the second law of thermodynamics, which dictates that the total entropy of an isolated system will always increase over time.

    Entropy

    • Entropy is a measure of the amount of disorder, randomness, or uncertainty in a system.
    • Entropy can be thought of as a measure of the amount of energy in a system that is unavailable to do work.
    • Entropy is typically denoted by the symbol "S" and is measured in units of joules per kelvin (J/K).
    • Entropy is a state function, meaning that only the change in entropy (S) is important, not the absolute value.
    • Entropy can be related to the number of possible microstates in a system, with higher entropy corresponding to a larger number of possible microstates.

    Principle of Increase of Entropy

    • The principle of increase of entropy states that the total entropy of an isolated system will always increase over time, except in reversible processes.
    • Entropy always increases over time in a closed system, remains constant in a reversible process, and never decreases spontaneously in an isolated system.
    • The principle has far-reaching implications, including energy degradation, disorder and randomness, and irreversibility.

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    Explore the limitations of the first law of thermodynamics, including its inability to specify the direction of energy transfer and its insufficiency for a process to occur.

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