# pset02 - 10.37 Spring 2007 Problem Set 2 due Wednesday Feb...

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10.37 Spring 2007 Problem Set 2 due Wednesday, Feb. 21. Problem 1. The microorganism Mycobacterium vaccae is able to grow with ethane as the sole source of carbon and energy and NH 3 as the nitrogen source. The limiting substrate is ethane, and Y sx =22.8 gram dry weight per mole of ethane. {Y sx = Yield of biomass (x) from ethane (s = substrate)}. a. Except for small amounts of S and P, an analysis of dry cell mass is C, 47.60 wt%; N, 7.30 wt%; H, 7.33 wt%; ash, 3.00 wt%. The remainder is taken to be oxygen, which can not be detected in the analysis. Determine the elemental composition for the ash- free biomass, CH a O b N c , and the formula weight per C-atom. Also determine Y sx , in the units of C-moles of biomass per C-mole of ethane. b. Calculate the oxygen consumption Y xo (moles of O 2 per C-mole of biomass) when it is assumed that CO 2 , H 2 O and CH a O b N c are the only metabolic products. Write the full stoichiometric equation for the growth process, and determine the heat evolved per kilogram dry weight. Assume Δ H ethane = 1560 kJ/mol, Δ H NH3

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