Formula Sheet: Kinetic Theory of Gases Class 11 Physics Yashwant Parihar, June 9, 2026June 9, 2026 In this post, we will learn all the formulas of class 11 physics, Kinetic Theory of Gases (KTG), with the help of a formula sheet. It covers all the concepts, definitions, and equations in a step by step formate for better understanding. You can use these formulas for your NEET/JEE preparations.Table of Contents Kinetic Theory of Gases (KTG) formulas1. Ideal Gas Laws & Equation2. Kinetic Theory: Pressure of an Ideal Gas3. Kinetic Energy of Gas Molecules4. Molecular Speeds (Velocity Distribution)5. Degrees of freedom (f) & Law of Equipartition6. Specific Heat Capacities & Atomicity7. Mean Free PathKinetic Theory of Gases (KTG) formulas1. Ideal Gas Laws & EquationBoyle’s Law (Constant T):P∝1V==P1V1=P2V2P \propto \frac 1 V == P_1 V_1 = P_2V_2Charles’s law (Constant P):V∝T==V1T1=V2T2V\propto T = = \frac{V_1}{T_1} = \frac{V_2}{T_2}Gay-Lussac’s Law (Constant V):P∝T==P1T1=P2T2P \propto T = = \frac{P_1}{T_1}= \frac {P_2}{T_2}Ideal Gas Equation:PV=nRT=NKkBTPV = nRT = N_Kk_BT2. Kinetic Theory: Pressure of an Ideal GasP=13ρvrms2=13MVVrms2P = \frac{1}{3}\rho v^2_{rms} = \frac{1}{3} \frac{M}{V} V^2_{rms}3. Kinetic Energy of Gas MoleculesMean Kinetic Energy per Mole:Emole=32RTE_{mole} = \frac32 RTMean Kinetic Energy per Molecule:EMolecule=32KBTE_{Molecule}= \frac32 K_BTRelation between Pressure and KE Density:P=32EVP = \frac 32 E_V4. Molecular Speeds (Velocity Distribution)Root Mean Square (Vrms):vrms=3RTM0=3KBTm=3Pρv_{rms} = \sqrt{\frac {3RT}{M_0}} = \sqrt{\frac {3K_BT}{m}} = \sqrt{\frac {3P}{\rho}}Average Speed (Vavg):vavg=8RTπM0=8KBTπmv_{avg} = \sqrt{\frac {8RT}{\pi M_0}} = \sqrt{\frac {8K_BT}{\pi m}}Most Probable Speed (Vmp):vmp=2RTM0=2KBTmv_{mp} = \sqrt{\frac {2RT}{M_0}} = \sqrt{\frac {2K_BT}{m}}Ratio of the above three:2:8π:3\sqrt 2 : \sqrt \frac{8}{\pi} : \sqrt35. Degrees of freedom (f) & Law of EquipartitionMonoatomic gas: f = 3Diatomic gas: f = 5 (3 Traslational + 2 Rotational)Polyatomic gas: f = 6 (3 Traslational + 3 Rotational)6. Specific Heat Capacities & AtomicityMolar Specific Heat at Constant Volume:CV=f2RC_V = \frac f2 RMolar Specific Heat at Constant Pressure:CP=(f2+1)RC_P = (\frac f2 + 1 )RRatio of Specific Heats:γ=CPCv=1+2f\gamma = \frac {C_P}{C_v} = 1 + \frac 2f7. Mean Free Pathλ=12πd2nv\lambda = \frac{1}{\sqrt {2} \pi d^2 n_v} Formula Sheet Physics Formula Sheet Formula SheetPhysics Formula Sheet