0.08206 L•atm = 8.31 L•kPa = 8.31 J / (mol•K) mol•K mol•K

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

3

mol?K ©¦ 1 atm

©¦ 1 X10 Pa

mol?K

¡ü

¡ü

convert

convert

atm to Pa

Pa to kPa

{cancel m2}

By definition: 1 N?m = 1 joule

¡ý

3

-3

3

2

0.08206 L?atm ©¦ 1 dm ©¦ 1 X10 m ©¦ 101325 Pa ©¦ 1 N/m = 8.31 N?m

= 8.31 J / (mol?K)

mol?K ©¦ 1L ©¦ 1dm3

©¦ 1 atm

©¦ 1 Pa

mol?K

¡ü

¡ü

¡ü

¡ü

convert

By definition: 1 Pascal = 1 N/m2 {force / area}

¡ü

atm to Pa

¡ü

3

-1

3

Newton

(1 dm) = (1 X10 m)

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 ¡ú 0.031998 kg/mol

_____

vrms = ¡Ì3RT/m =

____________________

________ __________

_________________

___________

¡Ì(3)(8.31 J/(mol?K))(273 K) = ¡Ì212697 J = ¡Ì212697 N?m = ¡Ì212697 (kg?m/s2) ?m = ¡Ì212697 m2/s2 = 461 m/s

(0.031998 kg/mol)

kg

kg

kg

¡ü

¡ü

¡ü

¡ü

Multiply & Divide,

1 joule = 1 N?m ¡ü

{cancel kg}

then cancel K & mol.

1 Newton = 1 kg?m/s2

? 2011

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