814. 2 the pressure and temperature of an ideal gas KE kT 2 Conclusions: a. The temperature of all the gas is a manifestation of the average translational kinetic energy of each particle. b. a measurement of temperature is a measurement of the average translational kinetic energy of any particle of the gas. c. Two different gases at same temperature have the same average translational kinetic energy per particle. 814.2 the pressure and temperature of an ideal gas ② the rms speed :T=(v2)∴〈y2) 3kT 3k 3kT 3RT、123RT rms A M The average speed ∑ ∑ 1/2 rms <17 KE kT 2 3 ave = Conclusions: a. The temperature of all the gas is a manifestation of the average translational kinetic energy of each particle. b. A measurement of temperature is a measurement of the average translational kinetic energy of any particle of the gas. c. Two different gases at same temperature have the same average translational kinetic energy per particle. §14.2 the pressure and temperature of an ideal gas 2the rms speed m kT v v k m T 3 3 2 2 Q = 〈 〉 ∴ 〈 〉 = 1 2 1 2 1 2 rms ) 3 ) ( 3 ) ( 3 ( M RT mN RT m kT v A = = = The average speed rms 1 2 2 2 rms ( ) v v N v v v N v v i i i i ∴〈 〉 < 〈 〉 = = 〈 〉 = ∑ ∑ Q §14.2 the pressure and temperature of an ideal gas