ME501HW5SolnF2011

# ME501HW5SolnF2011 - 1 ME 501 Homework#5 Due Wednesday...

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Unformatted text preview: 1 ME 501 Homework #5 Due Wednesday, November 9, 2011 Prof. Lucht (E-mail address: [email protected]) 1. NML Problem 5.9. 2 3 2. Diatomic nitrogen (N 2 ) is heated to 3600 K at 0.1 bar pressure, and during the process some of the nitrogen molecules dissociate to nitrogen atoms according to 2 2 N N . Calculate the equilibrium composition of the mixture at 3600 K and 0.1 bar. The table value for the equilibrium constant for this reaction is 7 1.233 10 at 3600 K for a standard pressure of 0.1 MPa. How does your answer compare to the equilibrium composition calculated using this table value? Initially, assume a volume of 1 m 3 at a temperature of 3600 K and a pressure of 0.1 bar. Use the ideal gas law to find the total number of particles in the assembly: 4 3 3 23 23 10 1.0 , 2.012 10 1.38065 10 / 3600 B B J m P m P N k T N k T J K K For 2 2 2 2 2 2 1 1 , 2 , exp 9.759 , 8065.5 / 9.759 78,710 N N N N B N N Z D N N N Z k T D D D D eV cm eV eV cm e h c At 3600 T K : 3/2 3/2 3/2 , , , 2 2 2 2 N B B N N trans N elec N trans N m k T k T Z Z Z Z m h h 4 1 3/2 0, 0, 2 1 5/2,3/2 1, 1, 2 1 3/2,1/2 1, 1, : 3 0: 2 1 4 2 5 3 1: 19,229 2 1 2 1 10 2 2 2: 28,839 elec elec elec elec elec elec Consider the following electronic levels for N Level S cm g Level D cm g Level P cm g , , , , , 1 , , 1 1 , 3 1 2 1 2 1 6 2 2 exp exp 1.439 / exp 1.439 / 19,229 1.439 28 4 10exp 6exp 3600 B e l e c elec N elec elec elec B elec elec N elec hc k hc Z g g k T T K cm g T K cm cm Z K ,839 3600 4.005 4 2 2 2 2 2 2 2 2 2 , , , , 3/2 3/2 3/2 3/2 3/2 , 2 2 2 1 1 1 , , , 2 2 2 2 1.439 / 1.439 / 50,204 exp 1 3exp 3600...
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ME501HW5SolnF2011 - 1 ME 501 Homework#5 Due Wednesday...

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