Answer :
Final answer:
To find out the grams of carbon in 38.6 g of glucose, we have to carry out some steps involving molar conversions and multiplication and arrive at approximately 15.4 g, that is, Option 2.
Explanation:
The question is asking the amount of carbon in grams present in a specific mass of glucose. Glucose has a molecular formula of C6H12O6, meaning for each molecule of glucose, there are six atoms of carbon. The molar mass of carbon is exactly 12.0 g. To find out the grams of carbon in glucose, first, we need to know that the molar mass of glucose (C6H12O6) is 180.156 g/mol (6(12.01 g/mol C) + 12(1.008 g/mol H) + 6(16.00 g/mol O)).
Then, find the amount of glucose in moles: 38.6 g / 180.156 g/mol = 0.214 mol glucose. Knowing that there's 6 mol of carbon in every one mol of glucose, we then have 0.214 mol glucose * 6 mol C/mol glucose = 1.284 mol C. Finally, to get the grams of carbon, multiply the moles of carbon (1.284 mol C) by the molar mass of carbon (12.0 g/mol C), giving us 15.408 g, which indicates that Option 2: 15.4 g is the closest answer for the total carbon mass.
Learn more about Molar Mass Conversion here:
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