Determine the percentage by mass of carbon in the amino acid arginine, which has the molecular formula C6H14N4O2. M carbon = 12.01 g mol–1M C6H14N4O2 = 174.24 g mol–1Give the answer rounded to two decimal places.
Question
Determine the percentage by mass of carbon in the amino acid arginine, which has the molecular formula C6H14N4O2. M carbon = 12.01 g mol–1M C6H14N4O2 = 174.24 g mol–1Give the answer rounded to two decimal places.
Solution 1
Sure, here are the steps to determine the percentage by mass of carbon in the amino acid arginine:
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First, calculate the molar mass of carbon in the formula. There are 6 carbon atoms in the formula, so multiply the molar mass of carbon (12.01 g/mol) by 6. This gives you 72.06 g/mol.
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Next, divide the molar mass of carbon in the formula by the molar mass of the entire compound. So, 72.06 g/mol divided by 174.24 g/mol equals approximately 0.4136.
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Finally, to convert this to a percentage, multiply by 100. So, 0.4136 times 100 equals 41.36%.
Therefore, the percentage by mass of carbon in the amino acid arginine is approximately 41.36%, rounded to two decimal places.
Solution 2
To determine the percentage by mass of carbon in the amino acid arginine, follow these steps:
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Identify the number of carbon atoms in the molecular formula of arginine, which is C6H14N4O2. There are 6 carbon atoms.
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Calculate the total mass of carbon in the molecule. Since the molar mass of carbon (M carbon) is 12.01 g/mol, the total mass contributed by carbon is 6 * 12.01 g/mol = 72.06 g/mol.
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The molar mass of arginine (M C6H14N4O2) is given as 174.24 g/mol.
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Calculate the percentage by mass of carbon in arginine by dividing the total mass of carbon by the molar mass of arginine and then multiplying by 100.
(72.06 g/mol / 174.24 g/mol) * 100 = 41.37%
So, the percentage by mass of carbon in arginine, rounded to two decimal places, is 41.37%.
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