P122×103×10.7 RT8.315×(273-23) 62797(mole) d)The total translational kinetic energy per mole before and after the compression is KE=nR7=62797××8.31×250=1.96×10°(J) KEa=nR7=62797××8.31×37766=296×10°(J (e)The rms speed is v BRT/ Hence the ratio of the rms speed before to that after the compression =081 377.66627.97 (mole) 8.315 (273 23) 122 10 10.7 3 = × − × × = = RT PV n (d)The total translational kinetic energy per mole before and after the compression is 8.31 377.66 2.96 10 (J) 2 3 627.97 2 3 8.31 250 1.96 10 (J) 2 3 627.97 2 3 6 after 6 before = = × × × = × = = × × × = × f i KE n RT KE n RT (e) The rms speed is 1/ 2 ) 3 ( M RT vrms = Hence the ratio of the rms speed before to that after the compression is ) 0.81 377.66 273 23 ( ) ( 1/ 2 1/ 2 = − = = f i rms f rms i T T v v