Chapter 2 - Energy & The First Law of Thermodynamics
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Questions and Answers

Which forms of energy are included in the change in energy of a closed system?

  • Mechanical energy, electrical energy, and kinetic energy
  • Kinetic energy, thermal energy, and work
  • Potential energy, heat, and internal energy
  • Kinetic energy, gravitational potential energy, and internal energy (correct)
  • What does the first law of thermodynamics state about energy?

  • Energy is a non-conservative property.
  • Energy can be created and destroyed.
  • Energy cannot be created or destroyed, only transformed. (correct)
  • Energy is always conserved in all conditions.
  • In a closed system, energy is transferred across the system boundary primarily through which means?

  • Pressure and volume change
  • Conduction and radiation
  • Work and heat (correct)
  • Friction and inertia
  • Which equation represents the change in kinetic energy for a system of mass m?

    <p>$DKE = KE2 - KE1$ (D)</p> Signup and view all the answers

    What is the primary contributing factor to changes in gravitational potential energy in a system?

    <p>The system's position within a gravitational field (D)</p> Signup and view all the answers

    Which of the following is NOT considered a mode of heat transfer?

    <p>Potential energy change (A)</p> Signup and view all the answers

    In energy analyses of thermodynamic cycles, what is thermal efficiency?

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

    What role does work play in the energy transfer of a closed system?

    <p>Work transfers energy into or out of the system. (A)</p> Signup and view all the answers

    What does Qout represent in the heat pump cycle?

    <p>Heat transfer to the hot body (B)</p> Signup and view all the answers

    Which equation represents the energy balance in a heat pump cycle?

    <p>Wcycle = Qout - Qin (A)</p> Signup and view all the answers

    How is the coefficient of performance (g) for a heat pump cycle calculated?

    <p>g = Qout / Wcycle (B)</p> Signup and view all the answers

    In the example given, what is the net work input (Wcycle) for the heat pump cycle?

    <p>300 kJ (A)</p> Signup and view all the answers

    What is the value of the coefficient of performance (g) calculated in the example?

    <p>3.0 (B)</p> Signup and view all the answers

    What does the equation $\Delta PE = mg(z_2 - z_1)$ represent?

    <p>The change in gravitational potential energy of a mass (B)</p> Signup and view all the answers

    What is represented by 'U' in the context of internal energy?

    <p>The total internal energy of the system (C)</p> Signup and view all the answers

    Which statement is true regarding the change in energy of a system from state 1 to state 2?

    <p>The change in energy is calculated using the equation $\Delta E = \Delta U + \Delta KE + \Delta PE$ (C)</p> Signup and view all the answers

    How is internal energy typically evaluated for a wide range of applications?

    <p>Consulting tables found in appendices of textbooks (C)</p> Signup and view all the answers

    Which of the following statements correctly describes work in thermodynamics?

    <p>Work depends on the interactions between the system and surroundings (D)</p> Signup and view all the answers

    What does the equation $E_2 - E_1 = Q - W$ represent in closed system energy balance?

    <p>The energy content change between two states (D)</p> Signup and view all the answers

    What does the term 'extensive property' refer to in the context of internal energy?

    <p>It is proportional to the mass of the system (D)</p> Signup and view all the answers

    In the equation $DKE + DPE + DU = Q - W$, what does DU represent?

    <p>Change in internal energy (A)</p> Signup and view all the answers

    What are the two means by which energy can be transferred to and from closed systems?

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

    What is crucial to distinguish when applying the energy balance equations?

    <p>Positive and negative signs of energy (C)</p> Signup and view all the answers

    What is the significance of changes in the energy of a system between states?

    <p>Only changes in energy have significance, not absolute values (A)</p> Signup and view all the answers

    Why is the location of the system boundary important in energy balance?

    <p>It determines how heat and work are defined (B)</p> Signup and view all the answers

    What does the time rate form of the closed system energy balance describe?

    <p>Instantaneous energy change within the system (A)</p> Signup and view all the answers

    Which component of the energy balance equation is treated as positive when energy is transferred from the system?

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

    What does the negative sign before W in the energy balance equations signify?

    <p>Energy is leaving the system (B)</p> Signup and view all the answers

    Which element is NOT part of the closed system energy balance considerations?

    <p>Thermal conductivity of the container (C)</p> Signup and view all the answers

    What does Fourier's law primarily describe in heat transfer?

    <p>The relationship between the rate of heat transfer and temperature gradient. (D)</p> Signup and view all the answers

    What is the significance of the minus sign in Fourier's law?

    <p>It signifies the direction of energy transfer. (B)</p> Signup and view all the answers

    Which statement regarding thermal radiation is true?

    <p>It can occur in a vacuum. (B)</p> Signup and view all the answers

    In the context of convection, what does the convection heat transfer coefficient represent?

    <p>A constant indicating the rate of heat transfer per unit area. (B)</p> Signup and view all the answers

    What is the primary factor that differentiates convection from conduction?

    <p>Convection involves bulk fluid motion. (C)</p> Signup and view all the answers

    What best describes a thermodynamic cycle?

    <p>A series of processes that returns to the original state. (A)</p> Signup and view all the answers

    Which law is applied to quantify energy transfer by convection?

    <p>Newton's law of cooling. (D)</p> Signup and view all the answers

    What role does emissivity play in thermal radiation exchange?

    <p>It characterizes the efficiency of a surface to emit energy. (C)</p> Signup and view all the answers

    What is the net work developed for a system that receives 1000 kJ of heat and discharges 600 kJ?

    <p>400 kJ (B)</p> Signup and view all the answers

    What is the thermal efficiency of a cycle that generates 400 kJ of work from 1000 kJ of heat?

    <p>40% (D)</p> Signup and view all the answers

    How does the refrigeration cycle define the relationship of work to heat transfers?

    <p>Wcycle = Qout - Qin (C)</p> Signup and view all the answers

    Which equation expresses the efficiency of a refrigeration cycle?

    <p>Efficiency = Qin / Wcycle (D)</p> Signup and view all the answers

    What is the coefficient of performance for a refrigeration cycle based on its definition?

    <p>COP = Qin / Wcycle (B)</p> Signup and view all the answers

    In a heat pump cycle analysis, how does it compare with the refrigeration cycle?

    <p>It operates on the same principle as a refrigeration cycle. (D)</p> Signup and view all the answers

    During a refrigeration cycle, which statement is true regarding energy balance?

    <p>Energy change per cycle is zero. (C)</p> Signup and view all the answers

    Which of the following is true about the heat exchanged during a refrigeration cycle?

    <p>Qin is absorbed from the cold body while Qout is released to the hot body. (B)</p> Signup and view all the answers

    Flashcards

    Change in Energy of a System

    The sum of the kinetic energy, gravitational potential energy, and internal energy of the system.

    Kinetic Energy

    The energy associated with the motion of the system as a whole relative to an external reference frame, like the Earth's surface.

    Gravitational Potential Energy

    The energy associated with the position of the system in the Earth's gravitational field.

    Internal Energy

    Energy associated with the random motion of molecules within a system. It includes the energy stored in chemical bonds, intermolecular interactions, and vibrations of atoms.

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    Energy Transfer

    The net amount of energy transferred into a closed system by heat and work.

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    The First Law of Thermodynamics

    Energy is conserved, meaning that the total energy of a closed system remains constant. It can be transferred between different forms (kinetic, potential, internal) but it cannot be created or destroyed.

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    Closed System

    A system where no mass enters or leaves the system boundary.

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    Closed System Energy Balance

    The energy balance for a closed system states that the change in energy within the system during a time interval is equal to the net amount of energy transferred into the system by heat and work during that time interval.

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    Change in Potential Energy (DPE)

    The change in potential energy of a system with mass 'm' between two states is calculated by multiplying the mass, acceleration due to gravity, and the difference in elevation between the two states.

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    Change in Internal Energy (DU)

    The change in internal energy of a system relates to its chemical composition and is not easily calculated with a simple formula. It is usually found using data tables.

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    Change in Total Energy of a Closed System

    The total change in energy of a closed system between two states is equal to the sum of the changes in its internal energy, kinetic energy, and potential energy.

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    Work in Thermodynamics

    Work in thermodynamics is considered a process involving energy transfer between a system and its surroundings.

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    Work Dependence on Process Detail

    The work done on a system depends on the specific interactions that occur during the process. It is not solely determined by the initial and final states of the system.

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    Energy Transfer in Closed Systems

    The change in energy of a system can occur through work and heat transfer.

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    Work Dependence on Force and Displacement

    The value of work done depends on the force involved and how it changes with the displacement.

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    Work is a Process, not a Property

    Work is not a property of the system or its surroundings. It is a measure of energy transfer during a process.

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    Closed System Energy Balance Equation

    The net amount of energy transferred into a closed system minus the net amount of energy transferred out of the system, resulting in a change in the system's internal energy.

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    Time Rate Form of Closed System Energy Balance

    The rate of change of energy within a closed system, expressed as the difference between the rate of energy inflow and the rate of energy outflow.

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    Work (W) in Energy Balance Equation

    The transfer of energy into or out of a system by means of work.

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    Heat Transfer (Q) in Energy Balance Equation

    The transfer of energy into or out of a system due to a temperature difference between the system and its surroundings.

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    Energy Contained within a System (E)

    The total amount of energy contained within a system at a given time.

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    Change in Energy (E2 - E1) in Energy Balance Equation

    The change in energy content of a system between two points in time.

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    Sign Convention for Work in Energy Balance Equation

    The energy transferred into a system by work is considered positive, while energy transferred out of the system by work is considered negative.

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    Application of Closed System Energy Balance

    The energy balance equation can be applied to different systems by carefully defining the system boundary and considering the types of energy transfers that occur across that boundary.

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    Fourier's Law of Conduction

    The rate of heat transfer across a plane is proportional to the area and the temperature gradient. It's like how quickly heat flows through a wall depends on its size and how much the temperature changes.

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    Thermal Conductivity (k)

    A property of a material that describes its ability to conduct heat. Higher thermal conductivity means heat flows more easily.

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    Thermal Radiation

    Energy transferred by electromagnetic waves, like sunlight or heat radiating from a hot stove. It doesn't need a medium to travel.

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    Stefan-Boltzmann Law

    The rate of thermal radiation exchange between two surfaces depends on their areas, emissivity, and temperature difference. It's like how much heat a hot object loses to the colder surrounding air.

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    Convection

    Energy transfer between a surface and a fluid due to a combination of conduction within the fluid and bulk flow of the fluid. It's like how air warms up near a hot radiator.

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    Convection Heat Transfer Coefficient (h)

    An empirical parameter that describes the rate of heat transfer by convection. Higher convection coefficient means faster heat transfer.

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    Thermodynamic Cycle

    A series of processes that starts and ends at the same state. They can be used to generate power, like how a power plant uses heat to generate electricity.

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    Power Cycle

    The transfer of energy by work is used to generate a useful output, like electricity from a power plant. It requires an energy input, typically from heat transfer.

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    Work Output

    The portion of heat energy added to a system that can be converted into useful work.

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    Heat Discharged

    The portion of heat energy added to a system that is lost to the environment.

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    Thermal Efficiency

    A measure of how efficiently a system converts heat energy into useful work.

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    Net Work Developed

    The net amount of work done by a system undergoing a power cycle (like a heat engine).

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    Refrigeration Cycle

    A system that absorbs heat from a cold reservoir (like a freezer) and transfers it to a hot reservoir (like the room).

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    Work Input (Wcycle)

    The net energy transfer by work to the system during a refrigeration cycle. This is usually provided by electricity.

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    Heat Input (Qin)

    The heat transfer of energy to the system from the cold reservoir during a refrigeration cycle.

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    Heat Output (Qout)

    The heat transfer of energy from the system to the hot reservoir during a refrigeration cycle.

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    Qout

    The heat energy transferred from the system to the hot body (e.g., a dwelling) during one cycle of operation.

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    Qin

    The heat energy transferred from the cold body (e.g., the outside air) to the system during one cycle of operation.

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    Wcycle

    The net work input required to operate the heat pump during one cycle. It represents the energy needed to transfer heat from the cold body to the hot body.

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    Coefficient of Performance (COP) for Heat Pumps

    The ratio of the heat energy delivered to the hot body (Qout) to the net work input required (Wcycle) during one cycle of operation. It measures how efficiently the heat pump transfers heat.

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    Heat Pump Cycle Energy Balance

    The net work input for a heat pump cycle is calculated by subtracting the heat energy taken from the cold body (Qin) from the heat energy delivered to the hot body (Qout).

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    Study Notes

    Chapter 2: Energy and the First Law of Thermodynamics

    • This chapter focuses on energy and the first law of thermodynamics.
    • Learning outcomes include explaining key concepts like energy, internal energy, kinetic energy, potential energy, work, power, heat transfer, heat transfer modes, heat transfer rate, power cycles, refrigeration cycles, and heat pump cycles.
    • Analyzing closed systems, including applying energy balances, modeling the specific case, and observing proper sign conventions for work and heat transfer.
    • Conducting energy analyses of systems undergoing thermodynamic cycles and evaluating thermal efficiencies, as well as coefficients of performance for refrigeration and heat pump cycles.

    Closed System Energy Balance

    • Energy is an extensive property, encompassing kinetic and gravitational potential energy.
    • For closed systems, energy transfer occurs across the boundary through heat and work.
    • Energy is conserved (this is the first law of thermodynamics).
    • The closed system energy balance states that the change in the amount of energy within a closed system during a time interval equals the net amount of energy transferred in and out across the system boundary by heat and work during that time interval.
    • ΔE = Q-W
    • Q = transfer of heat into the system, W=work done by the system

    Change in Energy of a System

    • In engineering thermodynamics, the change in energy of a system is composed of kinetic energy, gravitational potential energy, and internal energy.
    • Kinetic energy change (ΔKE) is associated with the system's motion relative to an external frame (e.g., the Earth). The formula is ΔKE = ½m(V₂² - V₁²), where m is mass and V₁ and V₂ are initial and final velocities.
    • Gravitational potential energy change (ΔPE) is related to the system's position in a gravitational field, calculated as ΔPE = mg(z₂ - z₁), where m is mass, g is acceleration due to gravity, and z₁ and z₂ are initial and final elevations.
    • Internal energy change (ΔU) is associated with the system's internal composition and is represented by U. There's no simple expression, so data from tables are usually used.

    Change in Kinetic Energy

    • The change in kinetic energy is related to the motion of the system relative to an external reference frame (e.g., the Earth).
    • The formula for this change is given by ΔKE = KE₂ – KE₁ = ½m(V₂² – V₁²), where m is the mass, and V₁ and V₂ are the initial and final velocity magnitudes, respectively.

    Change in Gravitational Potential Energy

    • The change in gravitational potential energy depends on the position of the system within Earth's gravitational field.
    • The change in potential energy from state 1 to state 2 is given by ΔPE = PE₂ – PE₁ = mg(z₂ – z₁), where m is the mass, g is the acceleration due to gravity, and z₁ and z₂ are the initial and final elevations relative to a reference plane.

    Change in Internal Energy

    • Internal energy is associated with the makeup of a system, including its chemical composition.
    • Internal energy is represented by U.
    • The specific internal energy on a mass basis is u.
    • The specific internal energy on a molar basis is u.
    • There's no single expression for ΔU; tables often provide data for calculations.

    Energy Transfer by Work

    • Energy can be transferred to or from a closed system through work or heat.
    • Work is done by a system on its surroundings if the sole effect on everything external to the system could have been the raising of a weight.
    • Work is considered positive when done by the system and negative when done on the system.
    • The integral of force-displacement is often used to determine work.
    • Work is not a property of the system itself.

    Energy Transfer by Heat

    • Heat transfer is due to a temperature difference between the system and its surroundings.
    • Heat transfer occurs in the direction of decreasing temperature (hot to cold).
    • Q is used as an indicator of heat transfer to or from the system.

    Modes of Heat Transfer

    • Energy can be transferred by conduction, radiation, and convection.

    Conduction

    • Energy transfer through a substance due to particle interactions and temperature differences.
    • Fourier's law quantifies the rate of heat conduction.

    Radiation

    • Transfer of energy through electromagnetic waves (no medium required).
    • Quantified by the Stefan-Boltzmann law.

    Convection

    • Energy transfer through the motion of fluids (gases or liquids).
    • Heat transfer through fluid motion and conduction.
    • Newton's law of cooling quantifies convection's rate.

    Thermodynamic Cycles

    • A thermodynamic cycle is a sequence of processes that begins and ends at the same state.
    • Examples include power cycles (with work output), refrigeration cycles (for cooling), and heat pump cycles (for heating).

    Power Cycle

    • It produces a net work output.
    • The net work is equal to the difference between heat input and heat output for a complete cycle.

    Refrigeration Cycle

    • It removes heat from a cold body.
    • Work input is needed to transfer heat from a cold spot to a hot one.
    • The coefficient of performance (COP) measures a refrigeration cycle's efficiency.

    Heat Pump Cycle

    • It supplies heat to a warm body.
    • Work input is needed to pump heat from a cold source to a hot one.
    • The coefficient of performance (COP) measures its efficiency.

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    Test your understanding of thermodynamics concepts, including the first law, forms of energy, and modes of heat transfer. This quiz covers crucial principles such as energy changes in closed systems, kinetic and potential energy, and thermal efficiency in thermodynamic cycles.

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