Unformatted text preview: 24. We can express the ideal gas law in terms of density using n = Msam/M: pV = M sam RT
M ρ= pM
.
RT We can also use this to write the rms speed formula in terms of density:
vrms = 3RT
=
M 3( pM / ρ )
=
M 3p ρ . (a) We convert to SI units: ρ = 1.24 × 10–2 kg/m3 and p = 1.01 × 103 Pa. The rms speed is
3(1010) / 0.0124 = 494 m/s.
(b) We find M from ρ = pM/RT with T = 273 K. (0.0124 kg/m3 ) (8.31J/mol K ) (273K)
RT
=
= 0.0279 kg/mol = 27.9 g/mol.
M=
p
1.01 × 103 Pa
(c) From Table 19.1, we identify the gas to be N2. ...
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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