Alright, let's go through the solution step-by-step to calculate the grams of carbon in 2.76 moles of C2H6O:
1. Understand the Composition of C2H6O:
- C2H6O is a chemical compound that contains 2 atoms of carbon (C), 6 atoms of hydrogen (H), and 1 atom of oxygen (O) per molecule.
2. Identify the Moles of Carbon (C) Present in Each Molecule of C2H6O:
- Each molecule of C2H6O has 2 moles of carbon atoms. Therefore, 1 mole of C2H6O will contain 2 moles of carbon atoms.
3. Calculate the Total Moles of Carbon in 2.76 Moles of C2H6O:
- Given that each mole of C2H6O contains 2 moles of carbon, we can calculate the moles of carbon in 2.76 moles of C2H6O as follows:
[tex]\[
\text{Total moles of Carbon} = \text{moles of C2H6O} \times \text{moles of C per mole of C2H6O}
\][/tex]
Substituting the given values:
[tex]\[
\text{Total moles of Carbon} = 2.76 \times 2 = 5.52 \text{ moles}
\][/tex]
4. Determine the Molar Mass of Carbon:
- The molar mass of carbon (C) is 12 grams per mole (g/mol).
5. Calculate the Total Grams of Carbon:
- To find the grams of carbon, multiply the total moles of carbon by the molar mass of carbon:
[tex]\[
\text{Total grams of Carbon} = \text{Total moles of Carbon} \times \text{Molar mass of Carbon}
\][/tex]
Substituting the calculated and known values:
[tex]\[
\text{Total grams of Carbon} = 5.52 \text{ moles} \times 12 \text{ g/mol} = 66.24 \text{ grams}
\][/tex]
Summary:
- The total moles of carbon in 2.76 moles of C2H6O is 5.52 moles.
- The total grams of carbon in 2.76 moles of C2H6O is 66.24 grams.
Thus, in 2.76 moles of C2H6O, there are 66.24 grams of carbon.
