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2010 USNCO Local #11: Converting Glucose to Ethanol

Source:

November 21, 2012

Problem Statement

Enzymes convert glucose (M=180.2)(M=180.2) to ethanol (M=46.1)(M=46.1) according to the equation
C6H12O6→2C2H2OH+2CO2 \text{C}_6\text{H}_{12}\text{O}_6 \rightarrow 2\text{C}_2\text{H}_2\text{OH} + 2\text{CO}_2
What is the maximum mass of ethanol that can be made from 15.515.5 kg of glucose?
<spanclass=′latex−bold′>(A)</span>0.256kg<spanclass=′latex−bold′>(B)</span>0.512kg<spanclass=′latex−bold′>(C)</span>3.96kg<spanclass=′latex−bold′>(D)</span>7.93kg <span class='latex-bold'>(A)</span>\hspace{.05in}0.256 \text{kg}\qquad<span class='latex-bold'>(B)</span>\hspace{.05in}0.512 \text{kg} \qquad<span class='latex-bold'>(C)</span>\hspace{.05in}3.96 \text{kg}\qquad<span class='latex-bold'>(D)</span>\hspace{.05in}7.93 \text{kg}\qquad
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