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Practice Test 1 Key

# Practice Test 1 Key - CEM 383 Practice Exam 1 Fall 2007 1...

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Unformatted text preview: CEM 383 Practice Exam 1 Fall 2007 1. The atmospheric pressure on the surface of Venus is 90 bar and it is composed of 96% 002 and 4% of various other gases. The surface temperature of the planet is 730K. a) What is the partial pressure of C02 on the surface? I) . ’3 ' . ' . (at XCc-L' r1051: (4051‘s a b!!! V b) What mass of 002 is present per liter? P 3 nil-T ; was; RT V V “7,7 2. A mixture of CH4(g) and 02H5(g) is contained in a glass bulb of 0.5 L volume at 25 °C. The total pressure is 1.25 bar and the mass of the gas in the bulb is 0.530 g. a) What is the average molar mass of the gas mixture? 051- rt? (. 013;?!“ m4) Adm b) What is the mole fraction of CH4(g) in the bulb? Xfuq ( u’ + ‘ ch><30 : “1" Y HM +gU—30x - 2/ y”? -H,<= <91 X: 0.3") 3. Use the Van der Waals coefficients given in the table below to label the compressibility data with the appropriate gas identity, A, B or C. % albar-LZ/molZ) b L/mol A 0.21 0.0174 B 1.35 0.0386 C 4.25 ‘ 0.0380 N 1.0 4. The pressure of steam in a 20.0L tank at 400K is 14.0 bar. How long is the time interval between collisions for a H20 molecule moving about in this tank? The collision diameter for H20 (9) is 4.60 x 10‘10 m and R=0.083 L-bar/mol'K = 8.31 J/K°mo|. I .. 7, . i A {I‘vfnc{2(£§ zlv‘ﬂiz? V ,gNltV 3 - ‘5 I ' ‘ .4, (mlxlcl/JL gﬁEW(L1.wxw'méYLr ii fi= 39—? - g V v lei (Maggi) (Lima) x) \$3 14\$ ? £2 ityLU/l’gauwgf‘ H5 )5 S 40"?) t M/S : 1w no" 5—! b) How far does a water molecule travel during the time interval calculated in part a? i i é‘i‘x lo "I 5 ‘/ 5. The Maxwell Boltzmann velocity distribution function for a molecule \l“ ‘ming in a single dimension, x, is f(vx) = (m/(2TrkBT))1/2 exp(—mvx2/(2kBT)) a) Write an expression for the maximum value that f(vx) can have. V1. 'F(vf\=<:f«ha_‘—_§ b) In class,we characterized the width of this distribution by determining the values of vi at the points where f(v*) had fallen to e , or 36.8% of its peak value. Derive the expression for the full width of the distribution at its e11 points in terms of m, T and some constants. 2 if 1C6“); K m“. c“ ‘ NV: . 2.71167 I Lemmi- < . 6. A cylinder with adiabatic, or insulating walls is filled with<Q§noles of an ideal gas at P=0.3 bar and T=43OK. The initial volume is 11.9 L. The system is suddenly compressed to a final volume of 1.0L by the Weﬂemal pressure to a piston that comprises one "" end of the cylinder. Determine w, the work, for this process. (R=0.083 Lobar/moloK = 8.31 J/K-mol) V; l” A): —f?¢,.ccil/ - - lx-Adlf ., I ”- um. -l.0L. 1" *lo‘ow V = ‘lo WOOL - ML) lifil. : “ (Cloak-("(0 R < k} ’ L‘ ‘\\ ) b) Calculate AU for this process. (CV = 3nR/2) L-l5¢\ : 4;)“: bH>—>(.W; ‘ LLSC‘VB MIL 8760 K " -H3C|(. CT? = ‘l - ‘i ...
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