814. 2 the pressure and temperature of an ideal gas dthe symmetry implies that +1 (2)=(+v2+v2>=3(v2 3 n ave N(v2) L 3 @pressure P exerted by the gas on the wall P= A 3AL N()=mN()=m 814.2 the pressure and temperature of an ideal gas 2. The absolute temperature an ideal gas Othe microscopic interpretation of the absolute temperature NI 2N1 ∴P my 3丿2 ∴P=Mm (v>=NkT T 3 3k KE mv 2 2 T=,KEa0rKEa。=。kT 3k 66 5the symmetry implies that = 〈 〉 〈 〉 = 〈 〉 〈 〉 = 〈 + + 〉 = 〈 〉 ⋅ = = + + 〈 〉 = 〈 〉 = 〈 〉 2 ave 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 1 3 1 3 N v L m F v v v v v v v v v v v v v v v v x x y z x x y z x y z r r 6pressure P exerted by the gas on the wall = = 〈 〉 = 〈 〉 = 〈 〉 ave 2 2 2 A 3 3 3 v V nM N v V m N v AL F m P §14.2 the pressure and temperature of an ideal gas 2. The absolute temperature an ideal gas 1the microscopic interpretation of the absolute temperature = 〈 〉 = 〈 〉 2 2 2 1 3 2 3 m v V N v V Nm Q P v NkT Nm ∴ PV = 〈 〉 = 2 3 = 〈 〉 2 3 v k m T KE KE kT k T KE m v 2 3 or 3 2 2 1 ave ave 2 ave ∴ = = Q = 〈 〉 §14.2 the pressure and temperature of an ideal gas