Answer:
To determine the number of moles of carbon needed to make 174.6 grams of methane (CH4), we will first need to calculate the number of moles of CH4 and then use the stoichiometry of the balanced chemical equation to find the moles of carbon (C).
First, let's find the molar mass of CH4:
- Molar mass of CH4 = (1 × 4) + 12 = 16 g/mol
- Now, let's find the number of moles of CH4:
- moles of CH4 = 174.6 g / 16 g/mol = 10.9125 mol
In the balanced chemical equation, 1 mole of carbon (C) reacts with 2 moles of hydrogen (H2) to produce 1 mole of methane (CH4). Therefore, the number of moles of carbon needed is equal to the number of moles of CH4:
Rounding to the nearest tenth:
So, approximately 10.9 moles of carbon are needed to make 174.6 grams of methane (CH4).