Cp/Cv Ratio Trick — Degrees of Freedom in 60 Sec 🔥
❓ Question In Kinetic Theory of Gases, how do we quickly determine the value of γ = C p C v \gamma = \frac{C_p}{C_v} for different types of gases? 🖼 Concept Image ✍️ Short Solution This is a direct Degrees of Freedom → γ mapping concept . Golden relation: γ = C p C v = f + 2 f \gamma = \frac{C_p}{C_v} = \frac{f+2}{f} 👉 If you know f , you know everything. No derivation needed in exam. 🔷 Step 1 — KTG ka Golden Rule 💯 For any ideal gas: γ = f + 2 f \boxed{\gamma = \frac{f+2}{f}} Where: f = degrees of freedom f = \text{degrees of freedom} 👉 Bas f pata ho, answer automatic. 🔷 Step 2 — Degrees of Freedom (Core Memory Table) 🔹 Monatomic Gas f = 3 f = 3 (Only translational motion) γ = 5 3 \gamma = \frac{5}{3} 🔹 Diatomic Rigid Gas f = 5 f = 5 (3 translational + 2 rotational) γ = 7 5 \gamma = \frac{7}{5} 🔹 Diatomic Non-Rigid Gas f = 7 f = 7 (Vibrational mode ON) γ = 9 7 \gamma = \frac{9}{7} 🔹 Triatomic Rigid Gas f = 6 f = 6 γ = 4 3 \gamma =...