1.
Thermodynamic Terms
System: The part of the universe under observation.
Surroundings: Everything external to the system.
Boundary: The real or imaginary surface separating the system and its surroundings.
Types of Systems
Open system: Exchanges both matter and energy (e.g., boiling water in an open pot).
Closed system: Exchanges only energy, not matter (e.g., a closed gas cylinder).
Isolated system: No exchange of matter or energy (e.g., thermos flask).
2. Thermodynamic Processes
Isothermal Process: Constant temperature (ΔT=0\Delta T = 0ΔT=0)
o Example: Melting of ice.
o PV=constantPV = \text{constant}PV=constant
Adiabatic Process: No heat exchange (Q=0Q = 0Q=0)
o Example: Rapid compression of gas.
o PVγ=constantPV^\gamma = \text{constant}PVγ=constant
Isochoric Process: Constant volume (ΔV=0\Delta V = 0ΔV=0)
o Example: Heating gas in a sealed rigid container.
Isobaric Process: Constant pressure (ΔP=0\Delta P = 0ΔP=0)
o Example: Boiling water at atmospheric pressure.
3. Zeroth Law of Thermodynamics
If two systems are individually in thermal equilibrium with a third system, they are
also in thermal equilibrium with each other.
4. First Law of Thermodynamics (Law of Energy Conservation)
Statement:
The change in internal energy (ΔU\Delta UΔU) of a system is equal to the heat
supplied to the system (QQQ) minus the work done by the system (WWW).
ΔU=Q−W\Delta U = Q - W ΔU=Q−W
Special Cases:
o Isothermal Process: ΔU=0\Delta U = 0ΔU=0, so Q=WQ = WQ=W
o Adiabatic Process: Q=0Q = 0Q=0, so ΔU=−W\Delta U = -WΔU=−W
o Isochoric Process: W=0W = 0W=0, so ΔU=Q\Delta U = QΔU=Q
o Isobaric Process: Q=ΔU+WQ = \Delta U + WQ=ΔU+W
5. Second Law of Thermodynamics
Heat cannot spontaneously flow from a colder body to a hotter body.
Kelvin-Planck Statement:
It is impossible to construct a device that operates in a cycle and converts all heat into
work.
Clausius Statement:
Heat cannot flow from a colder body to a hotter body without external work.
6. Heat Engines and Efficiency
Heat Engine: A device that converts heat energy into mechanical work.
o Q1Q_1Q1 = Heat absorbed from the source
o Q2Q_2Q2 = Heat rejected to the sink
o Efficiency (η\etaη): η=WQ1=Q1−Q2Q1\eta = \frac{W}{Q_1} = \frac{Q_1 -
Q_2}{Q_1} η=Q1W=Q1Q1−Q2
7. Carnot Engine
An ideal reversible heat engine operating between two temperatures T1T_1T1 and
T2T_2T2.
Efficiency of Carnot Engine: η=1−T2T1\eta = 1 - \frac{T_2}{T_1} η=1−T1T2
Where T1T_1T1 = Temperature of the hot reservoir, T2T_2T2 = Temperature of the
cold reservoir.
8. Entropy (SSS)
A measure of disorder or randomness in a system.
Change in entropy (ΔS\Delta SΔS): ΔS=QT\Delta S = \frac{Q}{T} ΔS=TQ
Entropy increases in irreversible processes and remains constant for reversible
processes.
Key Formulae to Remember
1. First Law: ΔU=Q−W\Delta U = Q - WΔU=Q−W
2. Work done in isothermal process: W=nRTlnV2V1W = nRT \ln \frac{V_2}
{V_1}W=nRTlnV1V2
3. Work done in adiabatic process: W=P1V1−P2V2γ−1W = \frac{P_1V_1 - P_2V_2}{\
gamma - 1}W=γ−1P1V1−P2V2
4. Efficiency of Carnot engine: η=1−T2T1\eta = 1 - \frac{T_2}{T_1}η=1−T1T2