Final answer:
To determine the grams of carbon in 300g of sucrose, the molar mass of sucrose is calculated and the mass percentage of carbon is found. Then the mass percentage is used to calculate the carbon content in 300g of sucrose, resulting in 126.33g. The nearest given answer choice is 132g.
Step-by-step explanation:
To find the number of grams of carbon in 300g of sucrose (C₁₂H₂₂O₁₁), we first need to calculate the molar mass of sucrose. Sucrose's molecular formula is C₁₂H₂₂O₁₁, so to calculate the molar mass, we sum the masses of the individual atoms within a molecule of sucrose. With atomic masses being C=12 g/mol, H=1 g/mol, and O=16 g/mol, we have:
Molar mass of sucrose = (12 × 12) + (22 × 1) + (11 × 16) = 144 + 22 + 176 = 342 g/mol.
Now, we determine the mass percentage of carbon in sucrose:
Mass percentage of carbon = (144 g C / 342 g sucrose) × 100% = 42.11%.
To find out how many grams of carbon there are in 300 g of sucrose, we apply the mass percentage:
Grams of carbon in 300g of sucrose = 42.11% of 300g = 0.4211 × 300g = 126.33g.
So, although the exact answer doesn't appear in the multiple choice options given, the closest answer is 132g (Option B). Since there may be a typo in the question or the options, it is advisable to double-check the calculations or the possible options.