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Formula Sheet: Thermodynamics Class 11 Physics

Yashwant Parihar, May 11, 2026May 11, 2026

Mastering every thermodynamics formula is the secret to scoring high in your finals and competitive exams like JEE or NEET. Whether you are looking for a comprehensive thermodynamics formula sheet for quick revision or a deep dive into all formulas of thermodynamics physics class 11, you’ve come to the right place.

This guide simplifies the complex formulas of thermodynamics class 11 students often struggle with, providing a structured look at thermodynamics physics class 11 formulas from the Zeroth Law to heat engine efficiency. Bookmark this page as your ultimate reference for thermodynamics, all formulas in one organised spot. All the formulas are based on the recent syllabus of NCERT.

Thermodynamics formula sheet for class 11

Table of Contents

  • Physics Thermodynamics Formula Sheet
    • 1. Thermal Expansions and Calorimeter
    • 2. Laws of Thermodynamics
    • 3. Gas Laws and Internal Energy
    • 4. Thermodynamic Process
    • 5. Second Law and Efficiency
  • Nomenclature: Key to the Symbols

Physics Thermodynamics Formula Sheet

1. Thermal Expansions and Calorimeter

Linear Expansions:

ΔL=LoαΔT\Delta L= L_o \alpha \Delta T

Area Expansions:

ΔA=AoβΔT\Delta A= A_o \beta \Delta T

Where, β = 2α

Volume Expansions:

ΔV=VoγΔT\Delta V= V_o \gamma \Delta T

Where, γ = 3α

Heat Capacity:

C=ΔQΔTC = \frac{\Delta Q}{\Delta T}

Specific Heat Capacity:

s=QmΔTs = \frac{Q}{m \Delta T}

Molar Heat Capacity:

Cm=QnΔTC_m = \frac{Q}{n \Delta T}

Latent Heat:

Q=mLQ = mL

2. Laws of Thermodynamics

Zeroth Law:

ifTA=TCandTB=TCthenTA=TBif\: T_A = T_C \: and\: T_B = T_C\: then \: T_A = T_B

First Law of Thermodynamics:

ΔQ=ΔU+ΔW\Delta Q= \Delta U + \Delta W

Work Done:

W=∫PdVW = \int PdV

3. Gas Laws and Internal Energy

Ideal gas equation:

PV=nRTPV = nRT

Internal Energy:

U=12nRtU = \frac12 nRt

Change in Internal Energy:

ΔU=nCvΔT\Delta U = nC_v\Delta T

Mayer’s Formula:

Cp−Cv=RC_p – C_v = R

Adiabetic Index:

γ=CpCv=1+2f\gamma = \frac{C_p}{C_v} = 1 + \frac2f

4. Thermodynamic Process

Process Condition
IsochoricV = constant
IsobaricP = constant
IsothermalT = constant
AdiabeticPVγ = constant
CyclicIntial = Final

5. Second Law and Efficiency

Heat Engine Efficiency:

η=WQ1=1−Q2Q1\eta =\frac {W}{Q_1}= 1 – \frac{Q_2}{Q_1}

Carnot Engine Efficiency:

η=1−TLTH\eta = 1 – \frac {T_L}{T_H}

Refrigerator Coeff. of Performance:

β=Q2W=TLTH−TL\beta = \frac{Q_2}{W} = \frac{ T_L}{T_H – T_L}

Entropy Change:

ΔS=∫dQrevT\Delta S = \int \frac{dQ_{rev}}{T}

Nomenclature: Key to the Symbols

PPressure
VVolume
TAbsolute Temperature
nNumber of moles of gas
RUniversal gas constant
QHeat Energy
WWork done
UInternal Energy
LOriginal length
αCoefficient of linear expansion
βCoefficient of area expansion
γCoefficient of volume expansion (also used as the Adiabatic Index
sSpecific heat capacity
CpMolar heat capacity at constant pressure
CvMolar heat capacity at constant volume
fDegrees of freedom (e.g., 3 for monatomic, 5 for diatomic)
ηEfficiency of a heat engine (pronounced “eta”)
Q1Heat absorbed from the source (hot reservoir)
Q2Heat rejected to the sink (cold reservoir)
T1 or THTemperature of the source (High)
T2 or TLTemperature of the sink (Low)
βCoefficient of performance (for refrigerators)
Formula Sheet Physics Formula Sheet Formula SheetPhysics Formula Sheet

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Motion in a Straight Line
Motion in a Plane
Newton's laws of Motions
Work, Energy and Power
Gravitation
Mechanical Properties of Solid
Mechanical Properties of Liquid
Thermal Properties of Matter
Thermodynamics

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