814. 2 the pressure and temperature of an ideal gas 1. The pressure of an ideal gas Othe probability that particles in element volume△ will collide Normal to with the wall 1A△L1△L1p△t P 2 AL L ② the change of the momentum of one particle Vibfr =viret mvi j+mvi k -mvi L t mvi)+ m 814.2 the pressure and temperature of an ideal gas Ap: = Piaft -Pi bft =-2mva i @the impulse given to the wall by the particles in the element volume Av F△t=-AD1=2mvai mmy 2 △t 2 Othe total impulse delivered to the wall during the interval At by all the particles that collide with the wall F△t △i=N〈v)A L L LT lotal number of particles5 §14.2 the pressure and temperature of an ideal gas 1. The pressure of an ideal gas 1the probability that particles in element volume ∆V will collide with the wall L v t L L AL A L p x∆ = ∆ = ∆ = 2 1 2 1 2 1 2the change of the momentum of one particle i ˆ j ˆ m m v mv i mv j mv k v mv i mv j mv k ix iy iz ix iy iz ˆ ˆ ˆ ˆ ˆ ˆ i aft i bfr = − + + = + + r r ∆L A p p p mv i i ix ˆ 2 ∆ = i aft − i bft = − r r r 3the impulse given to the wall by the particles in the element volume ∆V ti L mv mv i L v t F t p mv i ix ix ix i i ix ˆ ˆ 2 2 ˆ 2 2 = ∆ ∆ ∆ = −∆ = r r 4the total impulse delivered to the wall during the interval ∆t by all the particles that collide with the wall N v ti L m v ti L m F t ix x i ˆ ˆ ( ) 2 2 ave∆ = ∑ ∆ = 〈 〉∆ r Total number of particles §14.2 the pressure and temperature of an ideal gas