Thermodynamics Quiz: Laws and Applications
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Questions and Answers

What does the first law of thermodynamics state for a closed system?

  • Net work delivered equals the net heat lost to the surroundings.
  • Net heat gained equals the total internal energy change.
  • Net work done is independent of heat exchanges.
  • Net work delivered equals the net heat gained from the surroundings. (correct)

Which cycle is associated with steam power plants?

  • Rankine cycle (correct)
  • Brayton cycle
  • Otto cycle
  • Reversed Carnot cycle

In analyzing refrigeration cycles, what is crucial for performance calculations?

  • Time-energy graphs
  • Pressure-enthalpy charts (correct)
  • Velocity-pressure charts
  • Temperature-entropy diagrams

What is a key characteristic of irreversibilities in thermodynamic systems?

<p>They lead to energy loss in the cycle. (B)</p> Signup and view all the answers

What does optimization in thermodynamic systems aim to achieve?

<p>Balance subsystem performance for optimal total system efficiency. (B)</p> Signup and view all the answers

What does phase equilibrium in ideal binary mixtures describe?

<p>The coexistence of different phases at certain conditions. (C)</p> Signup and view all the answers

Which of the following best describes a combined cycle gas turbine power plant?

<p>It combines steam and gas cycles for increased efficiency. (B)</p> Signup and view all the answers

What role does the equilibrium constant play in analyzing chemical reactions?

<p>It indicates whether a reaction will occur spontaneously. (D)</p> Signup and view all the answers

What characterizes a reversible process?

<p>The system and surroundings remain unchanged. (C)</p> Signup and view all the answers

Why is it important for a reversible process to occur slowly?

<p>To prevent unnecessary kinetic energy from being imparted to the system. (D)</p> Signup and view all the answers

What happens when two bodies of different temperatures are brought together?

<p>Heat flows from hotter to cooler body, making the process irreversible. (D)</p> Signup and view all the answers

What condition must be met for heat transfer between two bodies to be considered reversible?

<p>The temperature difference must be zero or infinitesimally small. (B)</p> Signup and view all the answers

What occurs during a reversible process in terms of energy?

<p>Energy can be recovered completely without loss. (C)</p> Signup and view all the answers

Which of the following statements about heat transfer is true?

<p>Heat flow is directed from hot to cold in irreversible processes. (C)</p> Signup and view all the answers

What does the Clausius inequality reveal about the work done on surroundings in a system?

<p>It must be zero or negative. (B)</p> Signup and view all the answers

Which of the following best describes a process that cannot be reversed?

<p>It involves mechanical friction that dissipates energy. (C)</p> Signup and view all the answers

In a situation where TA = TB, what is the state of heat flow?

<p>Heat flow will be zero, indicating reversibility. (D)</p> Signup and view all the answers

For a reversible engine, what can be said about the integral of dQ/T over a complete cycle?

<p>It equals zero. (B)</p> Signup and view all the answers

What happens to the Clausius inequality if a reversible cycle is reversed?

<p>It contradicts the original inequality. (B)</p> Signup and view all the answers

What conclusion can be drawn from the statement that I (dQ/T)rev = 0 for a reversible cycle?

<p>No net energy transfer occurs. (A)</p> Signup and view all the answers

Which of the following statements about the inequalities for reversible cycles is true?

<p>Only one inequality holds true at a time. (B)</p> Signup and view all the answers

What does the equation Q − W = △U represent in a closed system?

<p>The relationship between heat added and internal energy change (A)</p> Signup and view all the answers

In the context of an open system, what does the term pv represent in the steady flow energy equation?

<p>Flow work done on the system (B)</p> Signup and view all the answers

What is indicated by the term ṁ in the steady flow energy equation?

<p>Mass flow rate into the system (B)</p> Signup and view all the answers

How can the first law of thermodynamics be expressed for a process from state 1 to state 2?

<p>Q − W = U2 − U1 (B)</p> Signup and view all the answers

What does the equation dQ − dW = dU signify in thermodynamics?

<p>Net energy change in a system is equal to heat minus work (A)</p> Signup and view all the answers

In the specific form of the steady flow energy equation, what does the term 1/2c^2 represent?

<p>Kinetic energy per unit mass (A)</p> Signup and view all the answers

What is the relationship between Q̇ and Ẇs in the steady flow energy equation?

<p>Q̇ compensates for losses due to Ẇs (D)</p> Signup and view all the answers

What is the significance of the term g z in the steady flow energy equation?

<p>It accounts for gravitational potential energy (D)</p> Signup and view all the answers

What is the fundamental statement of the second law taken in these notes?

<p>Clausius' Statement (C)</p> Signup and view all the answers

According to Clausius' statement, what is required for heat to flow from a cooler body to a hotter body?

<p>Work done on the system (D)</p> Signup and view all the answers

Which of the following is NOT a consequence of the second law of thermodynamics?

<p>Entropy of the universe decreases (A)</p> Signup and view all the answers

What does Clausius’ statement imply about cyclic processes?

<p>They require external work to transfer heat from cold to hot. (B)</p> Signup and view all the answers

What is the saturation temperature at 1 bar as given in the example?

<p>$99.63^{ ext{o}} C$ (B)</p> Signup and view all the answers

What is the entropy change when transitioning from saturated liquid to saturated vapor at constant pressure or temperature called?

<p>Entropy of vaporization (C)</p> Signup and view all the answers

What does Planck’s statement indicate about heat extraction from a reservoir?

<p>It cannot occur without additional energy input. (A)</p> Signup and view all the answers

Which of the following best describes the relationship between heat and work according to Clausius?

<p>Heat cannot flow without work being done. (C)</p> Signup and view all the answers

Given the state of the turbine, what is the initial entropy value at 500°C and 100 bar?

<p>$6.5994 ext{ kJ kg}^{-1} ext{ K}^{-1}$ (D)</p> Signup and view all the answers

Why is Clausius’ statement important in thermodynamics?

<p>It provides a framework for understanding entropy. (C)</p> Signup and view all the answers

What is the dryness fraction ($x_2$) of the steam when it exhausts at 20°C?

<p>0.8 (B)</p> Signup and view all the answers

What does the second law of thermodynamics imply about the direction of natural processes?

<p>They will always reach thermal equilibrium. (A)</p> Signup and view all the answers

Which of the following is true about the turbine's entropy change?

<p>The overall entropy change of the universe is positive. (D)</p> Signup and view all the answers

What does an adiabatic steam turbine imply about heat exchange with the surroundings?

<p>It does not exchange heat with the surroundings. (A)</p> Signup and view all the answers

How is the overall entropy change of the system calculated?

<p>It is the sum of the entropy of the surroundings and system. (C)</p> Signup and view all the answers

Which statement about the turbine's irreversible behavior is accurate?

<p>The turbine is irreversible because the total entropy of the universe is positive. (B)</p> Signup and view all the answers

Flashcards

Turbo-jet engine operation

Understanding how a turbo-jet engine works and its performance analysis.

Rankine cycle

A thermodynamic cycle used in steam power plants.

Irreversibilities

Losses in efficiency due to friction, heat loss, etc., in thermodynamic processes.

Refrigeration cycles

Thermodynamic cycles used to cool systems.

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Pressure-enthalpy chart

A graph used to analyze refrigerant properties.

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Combined cycle gas turbine

A power plant combining gas turbines with other thermodynamic systems.

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First Law of Thermodynamics (closed system)

Net work done on a closed system equals net heat added.

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Chemical Reaction Equilibrium

The state where the rates of forward and reverse reactions are equal.

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Reversible Process

A process that can be reversed, returning both the system and surroundings to their initial states.

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Irreversible Process

A process that cannot be reversed, leaving the system and surroundings in a different state.

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Friction

A force that opposes motion, causing energy loss as heat.

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Quasi-Equilibrium

A process that occurs in infinitesimal steps, allowing for near-reversible conditions.

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Heat Transfer & Reversibility

Heat transfer between bodies at different temperatures is irreversible due to lost potential to generate work.

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Infinitesimal Temperature Difference

A negligible difference in temperature that allows for near-reversible heat transfer.

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Why is heat transfer irreversible?

Heat transfer between bodies at different temperatures is irreversible because it wastes the opportunity to generate useful work.

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Second Law of Thermodynamics

A fundamental law of thermodynamics stating that it is impossible to create a perfect heat engine that transfers 100% of heat into work.

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First Law of Thermodynamics (Cycles)

The total heat added to a system during a complete cycle equals the total work done by the system.

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First Law of Thermodynamics (Differential Form)

The infinitesimal change in internal energy of a system equals the infinitesimal heat added minus the infinitesimal work done.

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Steady Flow Energy Equation (SFEE)

The SFEE states that the rate of heat input minus the rate of shaft work output equals the rate of change in the total energy of the system.

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What is flow work?

Flow work is a term representing the energy required to move a fluid across a system boundary.

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What is the difference between q and Q?

q represents heat per unit mass, while Q represents the total heat transfer rate.

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What is the difference between w and W?

w represents work per unit mass, while W represents the total work rate.

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What are the terms in the SFEE?

The SFEE includes terms for heat input, shaft work output, change in internal energy, flow work, gravitational potential energy, and kinetic energy.

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Clausius' Statement

It's impossible to transfer heat from a colder body to a hotter body without doing work on the system.

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What is a cycle?

A thermodynamic cycle is a series of processes that return a system to its initial state, allowing for continuous operation.

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What is a corollary?

A corollary is a statement that can be proved true easily from another already proven statement.

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Planck's Statement

You can't create a system that completely converts heat from a reservoir into work in a cycle.

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What is a reservoir?

A reservoir is a body so large that its temperature remains constant even when heat is exchanged with another system.

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Rudolf Clausius

A German physicist who formulated the first and second laws of thermodynamics.

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Entropy

A measure of disorder or randomness within a system.

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Entropy of vaporisation

The entropy change when a substance transitions from saturated liquid to saturated vapor at constant pressure or temperature.

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Adiabatic Process

A thermodynamic process where no heat is exchanged between the system and its surroundings.

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Entropy Change of the Universe

The total entropy change for both the system and its surroundings.

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What does a positive entropy change of the universe indicate?

A positive entropy change of the universe signifies an irreversible process, meaning the process cannot be reversed to its original state.

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What is the difference between sfg and sf?

sfg refers to the entropy of vaporization, the change in entropy during a phase change from liquid to vapor, while sf indicates the entropy of saturated liquid.

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How can we determine if a process is irreversible?

We can determine if a process is irreversible by analyzing the entropy change of the universe. If the entropy change is positive, the process is irreversible.

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What is the significance of the turbine being adiabatic in this example?

The adiabatic nature of the turbine implies no heat exchange with the surroundings, simplifying the analysis of entropy change. It allows us to focus on internal changes within the turbine.

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Clausius Inequality

A mathematical statement that describes the direction of spontaneous heat flow in a thermodynamic system. It states that the integral of dQ/T over a cycle must be less than or equal to zero, where dQ is the heat transfer and T is the absolute temperature.

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Reversible Engine

A hypothetical engine that operates in a way that the system and its surroundings can be restored to their initial states without any net change in entropy. This means all processes involved are reversible.

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Corollary 6: (dQ/T)rev = 0

For a reversible engine, the total heat transfer divided by the temperature over a complete cycle is equal to zero. This is a consequence of the Clausius Inequality applied to a reversible system.

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Why is (dQ/T)rev = 0 important?

This equation implies that in a reversible process, the entropy of the system remains constant. This is important because it defines the theoretical limit of efficiency for a heat engine.

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What does 'dQ' represent in the equation?

'dQ' represents an infinitesimal amount of heat transfer into or out of the system. It's important to remember that this is a differential, not a finite amount of heat transfer.

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Study Notes

Engineering Science - Second Year - Second Law of Thermodynamics

  • Course title: Engineering Science
  • Year: Second Year
  • Topic: Second Law of Thermodynamics
  • Term: Michaelmas 2024
  • Lecturer: Dr Tobias Hermann
  • Notes developed by: P.D. McFadden
  • Last edit: Dr Tobias Hermann - September 2024

Introduction

  • First Law already covered in previous year.
  • Focuses on conservation of energy in terms of heat and work.
  • Second Law introduces limitations of converting all heat into useful work.
  • Explains the concept of reversibility.
  • Explores the new concept of entropy.

Books

  • Rogers, G.F.C. and Mayhew, Y.R., Engineering Thermodynamics Work And Heat Transfer 4th edition (Longman) - Most comprehensive.

Syllabus

  • Thermodynamics (10 lectures)

  • Introduction to Second Law.

  • Second Law, Corollaries, Reversible Processes.

  • Thermodynamic Temperature Scale and Entropy.

  • Second Law Cycles: Steam and Gas Turbine Cycles.

  • Heat Exchanger Analysis, Refrigeration Systems

  • Thermodynamic Equilibrium.

  • Gibbs Energy.

  • Clausius-Clapeyron equation.

  • Equilibrium in Ideal Binary Mixtures.

  • Chemical Reaction Equilibrium and Equilibrium constants.

Learning Outcomes

  • Understanding of Second Law of Thermodynamics and its corollaries.
  • Understanding the Carnot Cycle and the equivalence of thermodynamic and ideal gas temperature scales.
  • Ability to analyse heat engines and reversed heat engines. (irreversible, reversible).
  • Deriving entropy and calculating entropy changes in fluids.
  • Familiarity with the general thermodynamic relations and their applications .
  • Analyzing systems with irreversibilities.
  • Understanding of operation of Turbo-jet engines.
  • Understanding the Rankine Cycle.
  • Appreciating the methods for enhancing steam cycle efficiency.

Acknowledgements

  • Notes largely compiled by the late Dr. Peter McFadden.
  • Credit given to other faculty members (Dr. Nick Hankins, Dr. Colin Wood, Prof. Peter Ireland, Prof. Richard Stone, and Dr. Peter Whalley) for their contributions.
  • Contact information for feedback provided.

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Test your understanding of thermodynamics with this quiz, which covers key concepts such as the first law of thermodynamics, refrigeration cycles, and phase equilibrium. Explore the characteristics of reversible processes and the implications of heat transfer in different systems. Perfect for students studying thermal sciences or engineering!

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