To find the mass of 12.6 moles of CH4 (methane), you will need to use the molar mass of CH4. The molar mass is the mass of one mole of a substance. For methane (CH4), the molar mass is given by the sum of the masses of one carbon atom and four hydrogen atoms.
1. Determine the molar mass of CH4:
- Carbon (C) has an atomic mass of approximately 12.01 grams per mole.
- Hydrogen (H) has an atomic mass of approximately 1.01 grams per mole.
- Therefore, the molar mass of CH4 is calculated as:
[tex]\[
\text{Molar mass of CH4} = 12.01 + 4 \times 1.01 = 12.01 + 4.04 = 16.05 \text{ grams per mole}
\][/tex]
2. Use the molar mass of CH4 to find the mass of 12.6 moles:
- The mass of a substance can be found by multiplying the number of moles by the molar mass.
- Hence, the mass of 12.6 moles of CH4 is:
[tex]\[
\text{Mass of CH4} = 12.6 \text{ moles} \times 16.05 \text{ grams/mole}
\][/tex]
3. Perform the multiplication:
[tex]\[
\text{Mass of CH4} = 12.6 \times 16.05 = 202.1 \text{ grams}
\][/tex]
So, the mass of 12.6 moles of CH4 (methane) would be approximately 202.1 grams.
