ME501HW5SolnF2011

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

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 ME 501 Homework #5 Due Wednesday, November 9, 2011 Prof. Lucht (E-mail address: Lucht@purdue.edu) 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...
View Full Document

Page1 / 8

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

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online