Calculating Percent Yield

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Background

A balanced chemical equation for a chemical reaction is really a very compact code for all of the composition information related to the reaction substances. Using a chemical equation, the mass of any reaction substance related to a given mass of another substance can be calculated. Textbook Discussion: Section 5.12, page 134. See Also: Example XV, page 134.

Problem

The following balanced chemical equation represents the chemical reaction that takes place during the synthesis of boron carbide (B₄C) from carbon (C)  and boron oxide (B₂O₃): 

7 C + 2 B₂O₃ ---> 6 CO + B₄C

If the reaction of 44.2 grams of carbon with an excess of the other reactant results in the isolation of 14.1 grams of boron carbide, what is the percent yield of the reaction based on carbon consumed? Atomic Masses: C=12.0 B=10.8 O=16.0 amu