Final answer:
The mass of carbon in one molecule of C₇H₈O₄ is found by multiplying the atomic mass of carbon by the number of carbon atoms (7) and then dividing by Avogadro's number to get the mass of carbon in a single molecule.
Step-by-step explanation:
To determine the mass of carbon in grams found in one molecule of the compound C₇H₈O₄, we'll calculate the total mass of 7 carbon (C) atoms since one molecule of this compound contains 7 carbon atoms. The periodic table lists the atomic mass of carbon as 12.011 amu; hence the average molar mass of carbon is 12.011 g/mol. To find the mass of carbon in one molecule, we multiply the atomic mass of carbon by the number of carbon atoms in the molecule and then divide by Avogadro's number (6.022 × 10²³ particles/mol) to convert from moles to the mass of a single molecule.
Molar mass of carbon (C): 12.011 g/mol
Number of carbon atoms: 7
Avogadro's number (NA): 6.022 × 10²³ particles/mol
Mass of carbon in one molecule = (12.011 g/mol × 7) / 6.022 × 10²³ particles/mol
By calculating this, we can find the mass of carbon in one molecule of C₇H₈O₄.
Molecules of the compound C7H8O4 contain 7 carbon atoms. The atomic mass of carbon is 12.011 amu. To convert the mass of carbon to grams, we need to multiply the atomic mass of carbon by the number of carbon atoms in the compound:
Mass of carbon in one molecule = 7 carbon atoms * 12.011 g/mol = 84.077 g/mol
Therefore, the mass of carbon in one molecule of the compound C7H8O4 is approximately 84.077 grams.