Answer :
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.
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.
