Behaviour of Perfect Gases and Kinetic Theory of Gases

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A perfect gas is an imaginary gas that strictly obeys Boyle's law, Charles' law and the law of pressure under all conditions. Its molecules are infinitesimally small and there is no intermolecular att…

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There is no force of attraction between its molecules. A liquid or solid needs attraction between molecules, so a perfect gas cannot be liquefied or solidified.

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For 1 mole: PV = RT. For n molecules: PV = nkT. Here R is the universal gas constant and k is the Boltzmann constant.

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Given: P = 1.013 x 10^5 N m^-2, V = 22.4 x 10^-3 m^3, T = 273 K, n = 1 mole. Formula: R = PV/T Step 1: PV = (1.013 x 10^5)(22.4 x 10^-3) N m = 2269.12 J Step 2: R = 2269.12 / 273 J mol^-1 K^-1 Step 3:…

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Formula: PV = muRT Meaning: mu is number of moles. Use it when the amount of gas is given in moles. Example: For 2.5 moles, PV = 2.5RT.

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Given: n = 4.0 x 10^23 molecules Formula: PV = nkT Substitution: PV = (4.0 x 10^23)kT Answer: The product PV is directly proportional to the number of molecules and temperature.

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At low pressure, molecules are far apart, so intermolecular attraction becomes small. At high temperature, molecules move faster and the effect of attraction becomes less important. So real gases beha…

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1. Gas molecules are very small and identical. 2. They move rapidly in straight lines in all directions. 3. Collisions between molecules are perfectly elastic. 4. Duration of collision is negligible.