CHE 501 Assignment 8 - ChE 501 Fan 2016 HW Assignment 8...

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Unformatted text preview: ChE 501 Fan 2016 HW Assignment 8 Solution 1. A fuel cell takes oxygen (02) and methane (CH4) as feed. These compounds react to form carbon dioxide (C02) and water (H20). The methane is fed at a rate of 100 mol/h, and the oxygen is to be fed in stoichiometric proportion. Write a balanced stoichiometric equation for the reaction and determine the required feed rate of oxygen CH4 +202 3 C02 +2H20 .lOO-mols—CH 4 - fed 2-mols-02 -required _ ZOO-mols~02 -required _ h mol-CH4-fed h 2. Ammonia (NH3) is synthesized by reaction of hydrogen (H2) and nitrogen (N2).' The” feed to the reactor contains only hydrogen and nitrogen. The product stream from the reactor consists of 200 mols/h NH3 and 50 mols/h N2. Write a balanced stoichiometric equation for the reaction and find the composition and flow-rate of the feed stream. Determine which reactant is the limiting reactant and which is the excess reactant. For the ' . 1.. --excessmactant,rcalculate thepercentrexcess-éafld‘the conversion. Calculatezthe‘extent of“: ‘ ‘ * reaction. N2 + 3H2 :> 2NH-3 Material Balances: N2 (1) til = i110 — f 50 = filo —— 4" H2 (2) n2 = {120 — 3; 0 = i220 — 3g NH3 (3) r13 = n30 + 25 200 = 0 + 2: The third balance gives 5 = 100. Substitute this value into the first two equations to obtain the feed flow-rates. r'z20 =3§=300 n10 =50+§=150 Hydrogen is the limiting reactant, and nitrogen is the excess reactant. 3OO-mols-H2 - fed mol ~N2 -required __ lOO-mols-N2 -requirea' h 3-mols-H2-fed h l - - d — l ' - ' d ‘ — percent -excess = mo S N2 fe m0 S 1Y2 requzre X100 = MXIOO = 50% mols - N 2 -requzred 100 _ mols - N 2 -reacted 100 converswn = ‘— XlOO = —><100 = 67% mols - N2 - fed 150 ...
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