Ideal Gas Law and Gas Laws
States of Matter • Class 11 Chemistry • NCERT • CBSE
The Ideal Gas Law: PV = nRT where P = pressure, V = volume, n = moles, R = 8.314 J/mol·K, T = temperature in Kelvin. Boyle's Law: PV = constant at fixed T. Charles' Law: V/T = constant at fixed P. Avogadro's Law: V ∝ n at fixed T and P.
Key Formulas
PV = nRTP₁V₁ = P₂V₂ (Boyle's Law)V₁/T₁ = V₂/T₂ (Charles' Law)P₁V₁/T₁ = P₂V₂/T₂v_rms = √(3RT/M)
Frequently Asked Questions
- Why must temperature be in Kelvin in gas law calculations?
- Gas laws involve direct proportionality with temperature (V ∝ T, P ∝ T). If we used Celsius, 0°C would imply zero volume/pressure, which is physically wrong. Kelvin scale (absolute temperature) starts at absolute zero (−273°C) where molecular motion theoretically stops. T(K) = T(°C) + 273.
- What are the conditions under which real gases behave like ideal gases?
- Real gases approach ideal behavior at: (1) High temperature — thermal energy dominates over intermolecular attractions; (2) Low pressure — molecules are far apart, so volume of molecules and intermolecular forces become negligible. Noble gases (He, Ne) behave most like ideal gases.
- State Dalton's Law of Partial Pressures with an example.
- Dalton's Law: Total pressure of a gas mixture = sum of partial pressures. P_total = P₁ + P₂ + ... Example: Air contains N₂ (78%) and O₂ (21%). At 1 atm, P(N₂) = 0.78 atm, P(O₂) = 0.21 atm. Application: collecting gases over water — correct for water vapour pressure.
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