
Thermodynamics is a crucial chapter for NEET that deals with the study of energy changes during physical and chemical processes. It explains how heat and work are related to internal energy, enthalpy, entropy, and Gibbs free energy. In this chapter, you will learn about types of systems (open, closed, isolated), state and path functions, the Zeroth, First, and Second Laws of Thermodynamics, and important processes like isothermal, adiabatic, and isobaric changes.
It also covers thermochemistry concepts such as enthalpy of reaction, Hessโs Law, bond energy, and spontaneity criteria using Gibbs free energy. Mastering thermodynamics helps in understanding energy conservation, reaction feasibility, and forms the foundation for higher concepts in physical chemistry.
Thermodynamics is the branch of science studying energy changes during physical or chemical processes. It quantifies energy forms such as heat (q), work (w), enthalpy (H), internal energy (U or E), and entropy (S). This foundational chapter is critical for competitive exams, bridging concepts across various chemistry topics.
Understanding basic terms is crucial for studying energy changes.
System: The specific part of the universe under observation where a process or reaction occurs.
Surroundings: The rest of the universe is affected by system changes.
Boundary: The real or imaginary surface separating the system from its surroundings.
Universe: The combination of the system and its surroundings (Universe = System + Surroundings).
Types of Walls / Boundaries
Boundaries are classified by properties:
Based on Heat Transfer:
Heat-Conducting (Diathermic Wall): Allows heat transfer.
Heat-Insulating (Adiabatic Wall): Prevents heat transfer.
Based on Physical Rigidity:
Rigid or Fixed Wall: Fixed boundary position, constant system volume.
Flexible Wall: Movable boundary, variable system volume.
Types of Systems
Systems classify by phase composition and interaction with surroundings:
Based on Phase Composition:
Homogeneous System: One phase (e.g., all gases).
Heterogeneous System: More than one phase (e.g., solid and gas).
Based on Exchange of Mass and Energy:
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Types of Systems |
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|---|---|---|---|---|
|
System Type |
Mass Exchange |
Energy Exchange |
Boundary Type |
Example
|
|
Open System |
Yes |
Yes |
Open & Conducting |
Open pot of boiling tea |
|
Closed System |
No |
Yes |
Closed & Conducting |
Sealed pressure cooker |
|
Isolated System |
No |
No |
Closed & Insulated (Adiabatic) |
Thermos flask |
System properties are categorized as:
Extensive Properties:
Depend on the mass or amount of matter.
Are additive.
Examples: Mass, Volume, Energy, Enthalpy (H), Internal Energy (U), Entropy (S), Gibbs Energy (G).
Intensive Properties:
Independent of mass or amount of matter.
Are non-additive.
Examples: Temperature, Pressure, Density, Refractive Index.
Key Conversion Rules:
An extensive property divided by another extensive property becomes intensive (e.g., Density = Mass / Volume).
An extensive property divided by mass becomes intensive (e.g., Specific Enthalpy = H/m).
Thermodynamic variables are classified by path dependence:
State Function (or State Variable):
Depends only on initial and final states, not the path.
Are path-independent.
Change in a state function for a cyclic process is zero.
Examples: Pressure (P), Volume (V), Temperature (T), Internal Energy (U), Enthalpy (H), Entropy (S), Gibbs Energy (G).
Path Function (or Path Variable):
Depends on the specific path followed.
Are path-dependent.
In a cyclic process, net change is generally not zero.
Only two major path functions: Heat (q) and Work (w).
(Memory Tip: State Functions care about the final result, Path Functions care about the journey.)
Work (w) and Heat (q) are called path functions because their values depend on the path taken to reach the final state, not just the initial and final states. Unlike state functions (like internal energy or enthalpy), path functions do not have fixed values for a given state.
1. Work (w)
Work is an ordered form of energy transfer.
Formula: w = -P_ext * ฮV, where ฮV = V_final - V_initial.
Graphical Representation: Area under the P-V curve.
Sign Convention (IUPAC):
Work done BY the system (Expansion): w is negative (V_final > V_initial).
Work done ON the system (Compression): w is positive (V_final < V_initial).
2. Heat (q)
Heat is a disordered form of energy transfer.
Sign Convention:
Heat absorbed BY the system: q is positive (Endothermic).
Heat released BY the system: q is negative (Exothermic).
Types of Heat:
Latent Heat (q_L): Heat for a phase change at constant temperature. Formulas: q_L = m ร L or q_L = n ร L.
Sensible Heat (q_S): Heat for a temperature change without phase change. Formulas: q_S = C * ฮT, q_S = m * c * ฮT, or q_S = n * C_m * ฮT.
The Laws of Thermodynamics describe how energy behaves in physical and chemical processes.
Zeroth Law of Thermodynamics
Basis: Thermal Equilibrium.
Statement: If two systems (A and B) are separately in thermal equilibrium with a third system (C), then A and B are also in thermal equilibrium with each other. This implies they have the same temperature.
Distinction: Thermal Equilibrium (equal temperatures) is part of Thermodynamic Equilibrium (which also requires chemical and mechanical equilibrium).
Internal Energy (U or E)
Definition: The sum of all types of energy within a system.
Characteristics: State function, extensive property. Only change in internal energy (ฮU) can be measured; absolute value cannot. ฮU = 0 for a cyclic process.
For an Ideal Gas: Internal energy depends only on temperature (ฮU โ ฮT).
First Law of Thermodynamics (FLOT)
Basis: Law of Conservation of Energy.
Mathematical Statement: ฮU = q + w
CRITICAL WARNING: Strict adherence to sign conventions for both heat and work is essential.
Key Insight: The sum of two path functions (q and w) results in a state function (ฮU).
1. Isothermal Process
Condition: Constant temperature (ฮT = 0).
Consequence for Ideal Gas: ฮU = 0.
First Law: q = -w.
Governing Law: Boyle's Law (PV = constant).
2. Isochoric Process
Condition: Constant volume (ฮV = 0).
Work Done: w = 0.
First Law: ฮU = q_v (heat supplied at constant volume).
Internal Energy: ฮU = CvฮT (for one mole).
3. Adiabatic Process
Condition: No heat transfer (q = 0).
First Law: ฮU = w_adiabatic.
Process Equations: PV^ฮณ = Constant, TV^(ฮณ-1) = Constant, P^(1-ฮณ)T^ฮณ = Constant.
Slope of Adiabatic vs. Isothermal: Adiabatic curve is steeper than isothermal (Slope_Adiabatic = -ฮณ(P/V) vs. Slope_Isothermal = -(P/V)), as ฮณ = C_p / C_v > 1.
4. Isobaric Process
Condition: Constant pressure (ฮP = 0).
First Law: q_p = ฮU + PฮV = ฮH (change in Enthalpy).
Enthalpy Formula: ฮH = nC_pฮT.
Governing Law: Charles's Law (V โ T).
Mayer's Relation: For 1 mole of ideal gas, C_p - C_v = R.
Formulas for C_p and C_v in terms of ฮณ: C_v = R / (ฮณ - 1) and C_p = ฮณR / (ฮณ - 1).
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Heat Capacities and Gas Properties |
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|---|---|---|---|
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Gas Type |
C_v |
C_p (C_v + R) |
ฮณ (C_p / C_v)
|
|
Monatomic |
(3/2)R |
(5/2)R |
5/3 โ 1.67 |
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Diatomic |
(5/2)R |
(7/2)R |
7/5 = 1.40 |
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Polyatomic Linear |
(5/2)R |
(7/2)R |
7/5 = 1.40 |
|
Polyatomic Non-linear |
3R |
4R |
4/3 โ 1.33 |
Isothermal Reversible Work:
w = -nRT ln(Vโ/Vโ) = -nRT ln(Pโ/Pโ)
w = -2.303 nRT log(Vโ/Vโ) = -2.303 nRT log(Pโ/Pโ)
Adiabatic Reversible Work:
w = ฮU = nC_v(Tโ - Tโ)
w = (PโVโ - PโVโ) / (ฮณ - 1)
The First Law doesn't address the direction of heat flow or spontaneity of a process.
Spontaneous Process: Occurs without external intervention.
Non-Spontaneous Process: Requires continuous external force.
Driving Forces for Spontaneity:
Tendency towards lower energy (higher stability).
Tendency towards higher randomness (greater disorder).
Entropy (S) measures randomness or disorder. It's a state function and an extensive property.
Factors Affecting Entropy:
Temperature: Entropy increases with temperature.
Physical State: S_gas > S_liquid > S_solid.
Molecular Complexity: S_complex > S_simple.
Number of Molecules: Entropy increases with more molecules.
Volume: Entropy increases with greater gas volume.
Calculating Entropy Change (ฮS)
Fundamental Definition: ฮS = q_rev / T.
For phase transitions (constant T): ฮS_fusion = ฮH_fusion / T_melting, ฮS_vaporization = ฮH_vaporization / T_boiling.
Temperature must be in Kelvin.
The Second Law provides the criterion for spontaneity: for any spontaneous process, the total entropy of the universe (system + surroundings) must increase.
ฮS_total = ฮS_system + ฮS_surroundings
Criteria for Processes:
Spontaneous Process: ฮS_total > 0
Equilibrium Process (Reversible): ฮS_total = 0
Non-Spontaneous Process: ฮS_total < 0
The Third Law states that at absolute zero (0 Kelvin), the entropy of a perfect crystalline substance is zero. This implies perfect order at 0 K and allows for calculation of absolute entropy.
Gibbs Free Energy is a state function and extensive property combining enthalpy and entropy, serving as the most convenient criterion for spontaneity at constant temperature and pressure. It represents energy "free" to do useful work.
Definition: G = H - TS
Gibbs-Helmholtz Equation: ฮG = ฮH - TฮS
Gibbs Energy as Criterion for Spontaneity (at constant T, P)
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Gibbs Energy as Criterion for Spontaneity (at constant T, P) |
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|---|---|---|
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Process Type |
Total Entropy (Universe) |
Gibbs Energy (System)
|
|
Spontaneous |
ฮS_total > 0 |
ฮG_system < 0 |
|
Equilibrium (Reversible) |
ฮS_total = 0 |
ฮG_system = 0 |
|
Non-Spontaneous |
ฮS_total < 0 |
ฮG_system > 0 |
Predicting Spontaneity from ฮH and ฮS
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Predicting Spontaneity from ฮH and ฮS |
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|---|---|---|
|
ฮS sign |
ฮG = ฮH - TฮS |
Spontaneity
|
|
+ |
Always Negative |
Spontaneous at all T |
|
- |
Always Positive |
Non-spontaneous at all T |
|
+ |
Negative at high T |
Spontaneous when TฮS > ฮH |
|
- |
Negative at low T |
Spontaneous when |ฮH| > T|ฮS| |
Relationship: ฮG = ฮGยฐ + RT ln(Q) (Q = reaction quotient).
At Equilibrium: ฮG = 0 and Q = K_eq (equilibrium constant).
ฮGยฐ = -RT ln(K_eq)
ฮGยฐ = -2.303 RT log(K_eq)
Thermochemistry is the branch of chemistry dealing with heat changes in chemical reactions, applying the First Law of Thermodynamics.
Calculating State Function Changes for a Reaction
For Reactants โ Products:
ฮG_rxn = ฮฃG_products - ฮฃG_reactants
ฮS_rxn = ฮฃS_products - ฮฃS_reactants
ฮH_rxn = ฮฃฮH_f(Products) - ฮฃฮH_f(Reactants) (using formation enthalpies)
EXCEPTION (Combustion/Bond Enthalpies): ฮH_rxn = ฮฃ(Enthalpies)_Reactants - ฮฃ(Enthalpies)_Products
Conditions for a Thermochemical Reaction
Balanced chemical reaction.
Physical state of every substance (s, l, g, aq) specified.
Enthalpy of reaction (ฮH_rxn) stated.
These laws govern the manipulation of thermochemical equations:
Reversing a Reaction: Reversing a reaction reverses the sign of its ฮH.
Multiplying/Dividing a Reaction: Multiplying/dividing coefficients by a factor also multiplies/divides ฮH by that factor.
Adding Reactions (Hess's Law): The enthalpy of an overall reaction is the sum of the enthalpies of individual reactions that sum to the overall reaction.
1. Standard Enthalpy of Formation (ฮH_fยฐ)
Definition: Enthalpy change when one mole of a substance forms from its elements in their standard states.
Key Rule: ฮH_fยฐ of any element in its standard state is zero.
Application: ฮH_rxn = ฮฃฮH_fยฐ(Products) - ฮฃฮH_fยฐ(Reactants).
2. Standard Enthalpy of Combustion (ฮH_cยฐ)
Definition: Enthalpy change when one mole of a compound burns completely in excess oxygen.
Nature: Always exothermic (ฮH_cยฐ is negative).
Application: ฮH_rxn = ฮฃฮH_cยฐ(Reactants) - ฮฃฮH_cยฐ(Products).
Calorific Value: |ฮH_cยฐ| / Molar Mass (kJ/g).
3. Bond Dissociation Enthalpy (Bond Energy)
Definition: Enthalpy to break one mole of a specific bond in the gaseous phase.
Nature: Bond breaking is always endothermic.
Application: ฮH_rxn = ฮฃ(Bond Energies)_Reactants - ฮฃ(Bond Energies)_Products.
4. Enthalpy of Atomization (ฮH_aยฐ)
Definition: Enthalpy to break a substance into its constituent individual gaseous atoms.
5. Phase Change Enthalpies
Fusion (ฮH_fus): Solid โ Liquid.
Vaporization (ฮH_vap): Liquid โ Gas.
Sublimation (ฮH_sub): Solid โ Gas (ฮH_sub = ฮH_fus + ฮH_vap).
The standard enthalpy of neutralization for a strong acid + strong base is -57.3 kJ/equivalent (or -13.7 kcal/equivalent).
Comparative Cases for Enthalpy of Neutralization
Strong Acid + Strong Base: -57.3 kJ/equivalent.
Weak Acid / Weak Base Involved: The magnitude of enthalpy of neutralization will be less than 57.3 kJ/equivalent. This is because some energy is consumed to ionize the weak acid or base.
Calculating the Enthalpy of Ionization
Formula: ฮH_ionization = (Standard ฮH_neutralization) - (Observed ฮH_neutralization).
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