Gas Constants 0.08206 L•atm = 8.31 L•kPa = 8.31 J / (mol•K) mol•K mol•K 0.08206 L•atm │ 101325 Pa │ 1 kPa = 8.31 L•kPa mol•K │ 1 atm │ 1 X103 Pa mol•K ↑ ↑ convert convert atm to Pa Pa to kPa {cancel m2} By definition: 1 N•m = 1 joule ↓ 0.08206 L•atm │ 1 dm3 │ 1 X10-3 m3 │ 101325 Pa │ 1 N/m2 = 8.31 N•m = 8.31 J / (mol•K) mol•K │ 1L │ 1dm3 │ 1 atm │ 1 Pa mol•K ↑ ↑ ↑ ↑ convert By definition: 1 Pascal = 1 N/m2 {force / area} ↑ atm to Pa ↑ (1 dm)3 = (1 X10-1 m)3 Newton 1dm3 = 1 X10-3 m3 By definition: 1 N = 1 kg•m / s2

Root Mean Square Velocity of O2 at 273 K: O2 = 31.998 g/mol → 0.031998 kg/mol _____ vrms = √3RT/m = ____________________ ________ __________ _________________ ___________ √(3)(8.31 J/(mol•K))(273 K) = √212697 J = √212697 N•m = √212697 (kg•m/s2) •m = √212697 m2/s2 = 461 m/s (0.031998 kg/mol) kg kg kg ↑ ↑ ↑ ↑ Multiply & Divide, 1 joule = 1 N•m ↑ {cancel kg} then cancel K & mol. 1 Newton = 1 kg•m/s2 chemistrynoteslecture.com © 2011