Thermodynamics HSC Overview

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Questions and Answers

What is the term used for the part of the universe that is being studied?

System

What is the boundary in thermodynamics?

The boundary separates the system from its surroundings.

Which type of system allows for the exchange of both energy and matter with its surroundings?

  • Open System (correct)
  • Closed System
  • Isolated System

What remains constant in an isothermal process?

<p>Temperature</p> Signup and view all the answers

What is the primary characteristic of an adiabatic process?

<p>No heat exchange</p> Signup and view all the answers

What remains constant in an isobaric process?

<p>Pressure</p> Signup and view all the answers

The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third system, then all three systems are in thermal equilibrium.

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

What does the first law of thermodynamics state?

<p>Energy is conserved.</p> Signup and view all the answers

What is entropy?

<p>A measure of disorder or randomness in a system.</p> Signup and view all the answers

What is the efficiency of a Carnot engine?

<p>η= 1 - T_c/T_h</p> Signup and view all the answers

What is the formula for work done during an isothermal process?

<p>W = nRTln(Vf/Vi)</p> Signup and view all the answers

What is the formula for work done during an adiabatic process?

<p>W= (PiVi - PfVf)/(γ-1)</p> Signup and view all the answers

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

<p>Cp - Cv = R</p> Signup and view all the answers

What is the formula for efficiency of a Carnot engine?

<p>η = 1 - T_c/T_h</p> Signup and view all the answers

What is the formula for entropy change in a reversible process?

<p>ΔS = Q_rev/T</p> Signup and view all the answers

What is the formula for the ideal gas law?

<p>PV = nRT</p> Signup and view all the answers

What is the relationship between average kinetic energy and temperature in the Kinetic Theory of Gases?

<p>Average kinetic energy = (3/2)k_BT</p> Signup and view all the answers

What is the formula for the Stefan-Boltzmann Law?

<p>P = σAT^4</p> Signup and view all the answers

What is the formula for Wien's displacement law?

<p>λ_max = b/T</p> Signup and view all the answers

What is the formula for Planck's Law?

<p>E(λ,T) = (8πhc/λ^5)(1/(e^(hc/λk_BT) - 1))</p> Signup and view all the answers

What is the formula for work done during a phase change?

<p>Q = mL</p> Signup and view all the answers

What is the formula for Gibbs free energy?

<p>G = H - TS</p> Signup and view all the answers

What is the relationship between internal energy, enthalpy, and specific heats?

<p>ΔH = ΔU + PΔV, ΔU = nC_vΔT, ΔH = nC_pΔT)</p> Signup and view all the answers

What is the most important assumption of the Kinetic Theory of Gases?

<p>Gas molecules are in constant random motion.</p> Signup and view all the answers

What is the formula for pressure exerted by an ideal gas, derived from the Kinetic Theory of Gases?

<p>P = 1/3(Nmv^2/V)</p> Signup and view all the answers

What is the formula for the Stefan-Boltzmann Law, which describes the total power radiated by a black body?

<p>P = σAT^4</p> Signup and view all the answers

What is the formula for Wien's displacement law, which relates the peak wavelength of radiation emitted by a black body to its temperature?

<p>λ_max = b/T</p> Signup and view all the answers

What is the formula for Planck's Law, which describes the spectral distribution of radiation emitted by a black body?

<p>E(λ,T) = (8πhc/λ^5)(1/(e^(hc/λk_BT) - 1))</p> Signup and view all the answers

Flashcards

Thermodynamics

The study of heat, energy, and work in systems.

System and Surroundings

System: the part of the universe under study; Surroundings: everything outside the system.

Open System

Exchanges both energy and matter with its surroundings.

Closed System

Exchanges energy but not matter with surroundings.

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Isolated System

Exchanges neither energy nor matter with surroundings.

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Isothermal Process

Temperature remains constant (ΔT = 0); Q = W.

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Adiabatic Process

No heat exchange with surroundings (Q = 0); ΔU = -W.

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Isochoric Process

Volume remains constant (ΔV = 0); W = 0, Q = ΔU.

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Isobaric Process

Pressure remains constant (ΔP = 0); Q = ΔU + W.

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Zeroth Law of Thermodynamics

If two systems are in thermal equilibrium with a third, they are in equilibrium with each other.

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First Law of Thermodynamics

Energy conservation; ΔU = Q - W, where Q is heat, W is work, ΔU is internal energy.

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Second Law of Thermodynamics

Heat flows spontaneously from hot to cold; entropy (S) increases.

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Third Law of Thermodynamics

As temperature approaches absolute zero, entropy approaches a constant minimum.

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Entropy (S)

Measure of disorder or randomness in a system.

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Carnot Engine

An ideal heat engine operating on the Carnot cycle; efficiency depends on temperatures of reservoirs.

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Heat Capacity

The amount of heat required to change the temperature of a substance; includes specific and molar heat capacities.

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Work Done (W) in Thermodynamics

W = P ΔV; work done is pressure times volume change.

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Specific Heat Capacity (c)

Heat required to raise the temperature of 1 kg of a substance by 1°C; Q = mcΔT.

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Molar Heat Capacity (C)

Heat required to raise the temperature of 1 mole of a substance by 1°C.

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Gibbs Free Energy (G)

G = H - TS; indicates spontaneity of a system.

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Boltzmann’s Constant (kB)

A physical constant relating temperature and energy; kB = 1.38 x 10^-23 J/K.

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Pressure (P) in Kinetic Theory

Pressure relates to the average kinetic energy of gas molecules: P = (1/3)(N/V)(mv²).

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Ideal Gas Law

PV = nRT; combines pressure, volume, temperature, and number of moles.

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Stefan-Boltzmann Law

The total energy radiated per unit area is proportional to T⁴; P = σAT⁴.

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Wien's Displacement Law

λmax = b/T; the wavelength of maximum radiation inversely relates to temperature.

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Planck’s Law

Describes spectral energy distribution emitted by a black body as a function of temperature and wavelength.

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Coefficient of Performance (COP)

Efficiency of a refrigerator; defined as heat removed from the cold reservoir divided by work input.

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Thermal Equilibrium

State where two systems reach the same temperature and no heat flows between them.

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Heat Engine Efficiency

η = 1 - (TC/TH); measures work output relative to heat input, using cold and hot reservoir temperatures.

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Study Notes

Thermodynamics HSC Overview

  • Thermodynamics is a fundamental topic in 12th HSC Physics, focusing on heat, energy, and work.

Thermodynamic Terms

  • System: The part of the universe being studied (e.g., gas in a cylinder).
  • Surroundings: Everything outside the system.
  • Boundary: Separates the system from its surroundings.
  • Open System: Exchanges both energy and matter with surroundings.
  • Closed System: Exchanges energy, but not matter.
  • Isolated System: Exchanges neither energy nor matter.

Thermodynamic Processes

  • Isothermal Process: Temperature remains constant (T = 0). Heat supplied equals work done by the system (Q = W).
  • Adiabatic Process: No heat exchange (Q = 0). Work done changes internal energy (W = -∆U).
  • Isochoric Process: Volume remains constant (∆V = 0). No work is done (W = 0). Heat added equals change in internal energy (Q = ∆U).
  • Isobaric Process: Pressure remains constant (∆P = 0). Change in internal energy and work are related as follows (∆U = Q - W).

Laws of Thermodynamics

  • Zeroth Law: If two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Basis of temperature measurement.
  • First Law: Energy is conserved. Change in internal energy (∆U) plus work done (W) equals heat added (Q). (∆U + W = Q).

Internal Energy (U)

  • The sum of kinetic and potential energies of molecules.
  • Depends only on the state of the system (state function).

Heat Capacity

  • Specific Heat Capacity (c): Heat required to raise the temperature of 1 kg of a substance by 1°C. (Q = mc∆T)
  • Molar Heat Capacity (C): Heat required to raise the temperature of 1 mole of a substance by 1°C. (Q = mc∆T, where m is now the number of moles).

Work Done in Thermodynamics

  • General Formula: W = PAV, where: P = pressure, and ∆V = change in volume.
  • Work in different processes has specific formulas (e.g., isothermal, adiabatic)

Entropy (S)

  • A measure of disorder or randomness in a system.
  • Change in Entropy (∆S) = Qrev/T (Qrev = heat exchanged in a reversible process).
  • Second Law of Thermodynamics relates to Entropy (irreversible processes, ∆S > 0; reversible processes, ∆S = 0).

Carnot Engine

  • System with components: high-temperature reservoir, low-temperature reservoir, and working substance.
  • Efficiency (η) = 1 - Tc/TH (Tc = temperature of sink, TH = temperature of source).

Applications of Thermodynamics

  • Heat engines, refrigerators, air conditioners, thermal power plants rely on thermodynamic principles.

Basic Definitions (Theory-Based Questions)

  • Define the terms system, surroundings, and boundary.
  • Explain open, closed, and isolated systems with examples.
  • State and explain the First Law of Thermodynamics.
  • Explain the Second Law of Thermodynamics with the Kelvin-Planck and Clausius statements.
  • Explain the significance of the third law of thermodynamics.
  • State and Define entropy.
  • Describe the formula for entropy change in a reversible process explain how entropy relates to the second law of thermodynamics.
  • Describe the working of a Carnot engine with a neat labeled diagram and derive the formula for the efficiency of a Carnot engine.
  • What is the coefficient of performance (COP) of a refrigerator?

Derivations (Theory-Based Questions)

  • Derive the expression for work done in an isothermal process
  • Derive the expression for work done in an adiabatic process.
  • Derive the relation between Cp and Cv
  • Derive the efficiency formula for a Carnot engine.
  • Prove that in an adiabatic process: PV γ = constant

Numerical Problems

  • A gas undertakes adiabatic expansion; calculate the change in internal energy.
  • A system absorbs heat and performs work; calculate the internal energy change.

Conceptual Questions

  • Why is it impossible to construct a 100% efficient heat engine?
  • Why is entropy considered a measure of disorder?
  • What is the difference between reversible and irreversible processes?
  • Why is the second law of thermodynamics called the "arrow of time"?
  • Why can the temperature of a system never reach absolute zero?

Important Questions (Previous Year Question Papers)

  • List of important questions based on thermodynamics
  • Solutions/answers

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