During aerobic respiration

CHEMISTRY · Multi-part · A Level · Chemistry · Amount of substance · Amount of substance

Problem

During aerobic respiration, the complete oxidation of one molecule of glucose, C6H12O6C_6H_{12}O_6, produces six molecules of carbon dioxide and six molecules of liquid water according to the overall balanced equation: C6H12O6+6 O2→6 CO2+6 H2OC_6H_{12}O_6 + 6\,O_2 \rightarrow 6\,CO_2 + 6\,H_2O A closed bioreactor operating for exactly one hour is found to release 1.20×10241.20 \times 10^{24} molecules of CO2(g)CO_2(\text{g}). (a) Determine the number of moles of CO2CO_2 released during this one-hour period. (b) Calculate the number of moles of glucose that must have been consumed. (c) The molar mass of glucose is 180.16 g/mol180.16\,\text{g/mol}. Determine the mass of glucose consumed during this interval. (d) Using the stoichiometry of the reaction, calculate the total number of hydrogen atoms that appear in the water produced over the one-hour period. Express your answer in scientific notation.

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