Midterm3-2005-Solutions

# Midterm3-2005-Solutions - So / (A h'Ol-,5 &lt;:; Midterm...

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So / (A h'Ol--,5 <:;; Midterm #3/ Chemistry 4521/ Physical Chemistry for Engineers Helpful Information: Langmuir Adsorption Isotherm Equation Keq [A] 8- -l+Keq[A] PV=nRT R = 0.08206 atm dm3K1mor1 R = 8.3145 J K-1mor1 kB=1.381 x 10-23J K1 1 arm= 760 Torr = 101,325Pa 1 mole = 6.022 x 1023molecules 1 dm= lOcm= 100mm 1000 mL = 1dm3 ocC = 273.15 K C=YA c = 3.0 X 108m S-l AE=hY hY= (l/2)mv2 + <I> A= hip p=mv h = 6.626 X 10-34Js 1.0 A= 1.0 X 10-10 m 1 J ; 1 kg m2 S-2 1 eV = 1.602 x 10-19 J 1W = 1J/s 1cal = 4.184 J 1 amu = 1.66 x 10-27kg 1 amu x Avogadro's Number = Mass of mole in grams mass of electron, m=9.109 x 10-31kg One-Dimensional Box n2h2 E=- 8ma2 Three-Dimensional Box, Cube with Sides =a h2 2 2 2 E = "2(n, + n2 + n3) 8ma

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The surface area of a powder sample is measured to be 0.146 mz. a) If this surface area is covered by one complete monolayer of Nz molecul~s, then how many Nz molecules are adsorbed on the powder? The surface area of a single Nz molecule is 1.5 x 10-19mz. Z 17 O,Ii. ./.GM- :::: 9,7~x:IO ;v. .~/t'!c""lL.- I.::J )t. I o-ICf ~ Ir""H::;i.e t... f.g. b) If all of the Nz molecules are desorbed and enter the gas phase, what is the volume of the Nz gas at 20°C and 1 atm? Give the volume of the Nzgas in units of mm3. ,") 9. 7 3 x. i 0 I"nr;,(e"", l.e ' , .~_. ...- 23 j ~ ,0 2 '2)1. I 0 fN'I~,t! c. . I..t:. --~ ~ i!7t.e 3 -,G ~ f".,-. d"' V=- r. R 7 = /. "16 x 10 io"V">ol(!' . 0, tJ820l; k:. .Wte"1.tt: P -:::: _6 '.6/~ ~ 10 i', i!t2{e ,z<q 1. 15 K- I t::l,~ f. ~8' )ItI'O? .,3 - d WI ~ I () Ch'") :" 100 ,., ~ d h--/
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## This note was uploaded on 02/26/2008 for the course CHEM 4521 taught by Professor Bierbaum during the Spring '03 term at Colorado.

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Midterm3-2005-Solutions - So / (A h'Ol-,5 &lt;:; Midterm...

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