Answer:
The balanced chemical equation is:
C + 2H2 → CH4
According to the stoichiometry of the equation, 1 mole of hydrogen gas reacts with 1/2 mole of methane gas. Therefore, 2 moles of hydrogen gas would react with 1 mole of methane gas.
To calculate the amount of methane gas produced, we need to know the amount of hydrogen gas available to react. Since 2 moles of hydrogen gas are available, we can use the mole ratio to find the amount of methane gas produced:
1 mole of CH4 is produced from 2 moles of H2
Therefore, 0.5 moles of CH4 is produced from 1 mole of H2
So, 1 mole of H2 produces 0.5 moles of CH4
Therefore, 2 moles of H2 produce 2 x 0.5 = 1 mole of CH4
To convert from moles to grams, we need to use the molar mass of methane:
Molar mass of CH4 = 12.01 + 4(1.01) = 16.05 g/mol
Therefore, the mass of methane gas produced is:
1 mole of CH4 = 16.05 g
So, 1 mole of CH4 produced from 2 moles of H2 weighs 16.05 g
Therefore, 1 mole of CH4 produced from 2 moles of H2 weighs 16.05 g
So, 16.05 g of methane gas will be produced if 2 moles of hydrogen gas are available to react.
Step-by-step explanation:
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