Thermodynamics Principles and Systems

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Questions and Answers

A heat pump has the same goal as a refrigerator engine.

False (B)

In the heat pump process, the liquid transforms into gas by taking in heat from the cold reservoir.

True (A)

The efficiency of a heat pump is defined as the ratio of heat given to the hot reservoir to the work done.

True (A)

It is possible for any device that operates on a cycle to transfer heat from a cold reservoir to a hot reservoir without any effect.

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

In a cycling process, the change in internal energy, ∆U, is always zero.

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

The work done by a refrigerator is equal to the sum of the heat absorbed from the cold and the heat released to the hot reservoir.

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

The performance of a heat pump improves when the heat absorbed from the cold reservoir decreases.

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

An ideal refrigerator operates without any energy input.

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

A thermal engine can achieve maximum efficiency greater than a reversible engine working between the same reservoirs.

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

All irreversible engines have equal efficiency when working between the same hot and cold reservoirs.

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

In a reversible cycle, there are no dissipative forces such as friction.

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

The Otto cycle is representative of an ideal situation for an internal-combustion engine.

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

During the adiabatic compression in the Otto cycle, heat is added to the system.

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

The cooling process in the Otto cycle involves a decrease in both temperature and pressure.

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

All real-life processes are reversible according to thermodynamic principles.

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

The Carnot theorem suggests that all reversible engines working between the same two hot and cold reservoirs have different efficiencies.

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

The Diesel cycle is the closest cycle to a diesel engine.

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

In the Diesel cycle, the temperature increases during the isochoric compression phase.

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

The relationship between $Q_C$, $T_C$, $Q_H$, and $T_H$ is substance-dependent in a reversible Carnot cycle.

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

The water triple point serves as a reference point in defining the thermodynamic absolute scale of temperature.

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

In the Carnot cycle, heat $Q_H$ is added during the isobaric expansion phase.

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

Work and heat are two forms of energy that can be converted into each other without any loss.

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

A thermal engine continuously removes heat from a cold reservoir.

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

The efficiency of a thermal engine decreases when more work is done by the engine.

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

The equation $W = Q_H - Q_C$ represents the work done by a refrigerator.

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

In a thermal engine, the cold reservoir absorbs heat energy.

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

The efficiency of a refrigerator is defined as $\eta = \frac{Q_C}{W}$.

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

The heat capacity of the hot and cold reservoirs is low.

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

All energy supplied to an engine can be completely transformed into work with no losses.

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

In a cyclic process, the change in internal energy ($\Delta U$) is always greater than zero.

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

The heat removed from the hot reservoir is considered negative in the work output equation.

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

The first principle of thermodynamics states that the net energy must remain constant in a thermodynamic process.

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

According to the first principle, processes can occur in any direction regardless of temperature differences.

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

Heat always flows from a higher temperature to a lower temperature body.

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

The second principle of thermodynamics addresses the direction of natural processes.

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

The equilibrium state of two bodies at different temperatures results in different final temperatures.

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

Thermal engines are not mentioned as part of the thermodynamic principles.

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

In the Kelvin-Planck statement, it is stated that no heat engine can operate in a cycle where heat is entirely converted into work.

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

The first principle of thermodynamics allows processes to happen spontaneously without energy transfer.

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

In an adiabatic expansion, the change in internal energy, ΔU, is equal to the work done by the gas, W.

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

The efficiency of a Carnot cycle is determined only by the heat exchanged in the system.

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

In an isothermal compression, the internal energy of the gas changes.

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

The formula for the net work done in a cycle includes the work done during both compression and expansion.

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

The Carnot theorem states that an engine can reach 100% efficiency under certain conditions.

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

For a heat pump, the efficiency formula uses the temperatures of the input and output heat reservoirs.

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

The Carnot cycle for a refrigerator operates in the same direction as that of a thermal engine.

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

In adiabatic processes, heat exchange with the environment is not allowed.

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

The efficiency of a cycle can be calculated using the formula ε = QH/QC.

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

During isothermal expansion, the gas absorbs heat from a colder body.

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

During the adiabatic compression process, the temperature of the gas increases.

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

The equation for the efficiency of a Carnot engine is ε = 1 - TC/TH.

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

The net work done in a complete thermodynamic cycle can be positive or negative depending on the processes involved.

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

The heat energy transferred, QH, during a cycle is independent of the specific temperatures involved.

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

Flashcards

First Law of Thermodynamics

The first law of thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another.

Limitation of the First Law

The first law of thermodynamics does not explain why certain processes happen in a specific direction.

Second Law of Thermodynamics

The second law of thermodynamics explains why processes occur in a specific direction and not in reverse.

Thermal Engine

A system that converts thermal energy into mechanical work.

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Refrigerator or Heat Pump

A device that transfers heat from a cold reservoir to a hot reservoir, requiring external work.

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Kelvin-Planck Statement

It's impossible to make a machine that can completely convert heat into work.

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Clausius Statement

It's impossible to transfer heat from a cold reservoir to a hot reservoir without external work.

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Carnot Cycle

A theoretical thermodynamic cycle with maximum efficiency.

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Energy

The ability to do work or produce change. It can exist in different forms such as heat, light, and mechanical energy.

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Heat

The transfer of energy into a system due to a temperature difference between the system and its surroundings. It's the energy that flows when things are at different temperatures.

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Work

The transfer of energy into a system due to an external force acting on the system. It's related to the force and the distance over which the force acts.

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Efficiency of a thermal engine

A measure of how efficiently a thermal engine converts heat energy into work. It's the ratio of the work done by the engine to the heat absorbed from the hot reservoir.

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Refrigerator

A device that transfers heat from a cold reservoir to a hot reservoir. It requires work input to achieve this process.

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Efficiency of a refrigerator

The ratio of the heat absorbed from the cold reservoir to the work done by the refrigerator. It indicates how effectively the refrigerator transfers heat.

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Internal Energy

The total energy of a system. It's determined by the internal energy (temperature) of the system, the external forces acting on it, and the state of the system.

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Cyclic Process

A state where a system returns to its starting conditions after a series of changes. The internal energy of the system remains constant.

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Heat Capacity

The amount of heat required to raise the temperature of a substance by a specific amount. It reflects how much energy is required to change the temperature of a particular substance.

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What is a heat pump?

A heat pump works by extracting heat from a cold reservoir and releasing it to a hot reservoir.

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What is the difference between a refrigerator engine and a heat pump?

The goal of a refrigerator engine is to maintain a cold temperature inside the refrigerated space. The goal of a heat pump is to maintain a warm temperature in the heated space.

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How is the performance of a heat pump measured?

The performance of a heat pump is measured by its efficiency, which is the ratio of heat delivered to the hot reservoir to the work input.

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What is the efficiency equation for a heat pump?

The efficiency of a heat pump is given by the equation 𝜂𝐻𝑃 = 𝑄𝐻/(𝑄𝐻 − 𝑄𝐶), where 𝑄𝐻 is the heat delivered to the hot reservoir and 𝑄𝐶 is the heat extracted from the cold reservoir.

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What is the Clausius statement of the second law of thermodynamics?

It is impossible for a device operating in a cycle to transfer heat from a cold reservoir to a hot reservoir without any other effects.

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How does the first law of thermodynamics apply to a cyclic heat pump?

The first law of thermodynamics, applied to a cyclic heat pump process, states that the total heat exchange is zero, meaning the heat absorbed from the cold reservoir (QC) equals the heat released to the hot reservoir (QH).

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Why is an ideal refrigerator impossible?

An ideal refrigerator, according to the Clausius statement, is impossible because it would require transferring heat from a cold reservoir to a hot reservoir without any work input, which violates the second law of thermodynamics.

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Diesel Cycle

A thermodynamic cycle that represents the idealized working of a diesel engine. It involves adiabatic compression and expansion, as well as isobaric expansion.

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Carnot Theorem

The relationship between the heat absorbed (QH) and the heat released (QC) in a reversible Carnot cycle is directly proportional to the ratio of the absolute temperatures of the hot (TH) and cold (TC) reservoirs. This relationship applies regardless of the working substance.

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Thermodynamic Scale of Temperature

The temperature scale based on the Carnot cycle. It uses the triple point of water (273.16 K) as a reference point and is independent of the working substance.

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Efficiency of a Heat Engine

The ratio of work done by a heat engine to the heat absorbed from the hot reservoir.

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QH

The heat absorbed by the engine from the hot reservoir during the isothermal expansion phase of the Carnot cycle.

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QC

The heat released by the engine to the cold reservoir during the isothermal compression phase of the Carnot cycle.

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Heat Engine

A device that converts thermal energy into mechanical work.

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Heat Capacity at Constant Volume (Cv)

The amount of heat exchanged between a system and its surroundings at constant volume.

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Carnot Efficiency

The maximum efficiency achievable by any heat engine operating between two given temperatures.

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Adiabatic Process

A thermodynamic process that occurs without any heat exchange between the system and its surroundings.

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Isothermal Process

A thermodynamic process that occurs at constant temperature.

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Net Work

The mathematical expression representing the total work done by a cycle.

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Adiabatic Work

The work done by a system during an adiabatic process.

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Heat Pump Efficiency (ηHP)

The efficiency of a heat pump, defined as the ratio of heat delivered to the hot reservoir to the work input.

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Isobaric Process

A thermodynamic process that happens at constant pressure.

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Carnot Efficiency Dependence

The efficiency of a Carnot cycle is solely determined by the temperatures of the hot and cold reservoirs.

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What is Carnot's Theorem?

Carnot's Theorem states that no heat engine operating between two temperatures can be more efficient than a reversible engine operating between the same temperatures. It also states that all reversible engines operating between the same temperatures have the same efficiency. This sets a theoretical limit on the efficiency of thermal engines.

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What makes a thermodynamic cycle reversible?

A reversible cycle is a thermodynamic process where the system and its surroundings can be returned to their initial states without any net change in entropy. This means the process is frictionless, involves only heat transfer between systems at the same temperature (or very small temperature difference), and is quasi-static (slow enough for all states to be in equilibrium).

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What makes a thermodynamic cycle irreversible?

An irreversible cycle involves processes that cannot be reversed without causing a net increase in entropy. This means some energy is lost as heat due to friction, heat transfer between systems at different temperatures, or non-equilibrium states during the process.

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Describe the Otto cycle.

The Otto cycle represents an internal combustion engine. An ideal Otto cycle comprises four stages:

  1. Adiabatic compression (a to b): The air-fuel mixture is compressed and heated. No heat is added or removed.
  2. Isochoric heat addition (b to c): The compressed mixture is ignited causing the volume to remain constant.
  3. Adiabatic expansion (c to d): The hot gasses expand and do work, pushing the piston (power stroke). No heat is added or removed.
  4. Isochoric heat rejection (d to a): The burnt gasses are exhausted, and the cycle repeats.
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What is the efficiency of a thermal engine?

The efficiency of a thermal engine is a measure of how much mechanical work it can produce from a given amount of heat. It is calculated as the ratio of the work done by the engine to the heat absorbed from the hot reservoir. The maximum efficiency of a thermal engine is determined by the Carnot theorem and is dependent on the hot and cold reservoir temperatures.

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How does a real engine compare to a theoretical Otto cycle?

While the Otto cycle provides a simplified model of an internal combustion engine, real engines have imperfections that make them irreversible. This leads to less efficient operation compared to a theoretical reversible Otto cycle. Factors contributing to irreversibility include friction, heat loss, and non-equilibrium states. However, the Otto cycle remains a valuable tool for understanding the basic principles of the internal combustion engine.

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What is the difference between reversible and irreversible processes?

In a reversible process, the change in entropy of the system and the surroundings is zero. All processes involving friction, heat transfer between systems at different temperatures, or non-equilibrium states are irreversible.

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What is a quasi-static process?

Quasi-static processes are thermodynamic processes that occur slowly enough to allow the system to remain in equilibrium at each step. This means the system can be considered to be in a series of equilibrium states as it changes. This concept is essential for understanding reversible processes, as a reversible process must be quasi-static.

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Study Notes

Second Principle of Thermodynamics

  • The first law of thermodynamics focuses on energy conservation, while the second law considers the direction of natural processes.
  • Processes naturally occur in a specific direction, not randomly.
  • Examples show heat flowing from a hotter object to a colder object until equilibrium.

Thermal Engines

  • The energy of a system can change through work or absorbing heat.
  • Work can be transformed into heat, but not all heat can be transformed into work.
  • A thermal engine removes heat from a hot reservoir, does work, and releases heat to a cold reservoir.
  • The process is cyclical.

Efficiency of a Thermal Engine

  • Efficiency is defined as the ratio of the work output to the heat input from the hot reservoir.
  • Efficiency is always less than 1 (or 100%).

Refrigerators and Heat Pumps

  • A refrigerator removes heat from a cold reservoir, does work, and releases heat to a hot reservoir, opposite to a heat engine.
  • A heat pump does the reverse, moving heat from a cold reservoir to a hot reservoir.
  • Efficiency is the ratio of heat removed from the cold reservoir to the work done. Efficiency is greater than or equal to 1.

Kelvin-Planck Statement

  • It is impossible to devise a cyclically operating device that absorbs heat from a single reservoir and produces a net amount of work.
  • A device producing work from one reservoir only violates the second law.

Clausius Statement

  • It is impossible for any cyclic device to transfer heat from a colder body to a hotter body without work input.
  • This means heat will never naturally flow from cold to warm without action.

Carnot Cycle

  • This cycle is the most efficient theoretical cycle for converting heat into work.
  • Reversible processes, made of isothermal (constant temperature), and adiabatic (no heat exchange) steps occur in the cycle.

Carnot Theorem

  • The efficiency of a reversible engine operating between two reservoirs is independent of the working substance.
  • All reversible engines operating between the same two temperatures have the same efficiency.
  • No irreversible engine working between the same temperatures can be more efficient than a reversible engine.

Conditions for a Reversible Cycle

  • The process must involve no friction or dissipative forces.
  • There must be no temperature differences between the system and the surroundings.
  • Processes should be quasi-static (slow).

Cycles with Ideal Gases: Otto Cycle

  • This Otto cycle closely resembles an internal combustion engine.
  • It involves adiabatic compression, isochoric heating, adiabatic expansion, and isochoric cooling.

Cycles with Ideal Gases: Diesel Cycle

  • This cycle closely resembles a diesel engine.
  • It consists of adiabatic compression, isobaric heating, adiabatic expansion, and isochoric cooling stages.

Thermodynamic Temperature Scale

  • The absolute scale of temperature is established using a Carnot engine.
  • This scale is independent of the working substance used in the Carnot engine and is defined by the triple point of water (273.16 K).

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