Answer:
The correct option is d. a and c are correct.
Explanation:
First, we will write a balanced equation for the reaction between methane (CH₄) and oxygen (O₂).
The reaction between methane (CH₄) and oxygen (O₂) gives carbon dioxide (CO₂) and water (H₂O). The balanced equation for the reaction is shown below
CH₄ + 2O₂ → CO₂ + 2H₂O
The number beside each molecule on the reactant side indicates the number of the individual molecules required for complete reaction and also the number beside each molecule on the product side indicates the number of the individual molecules produces in the reaction.
This means,
One molecule of methane will react with two molecules of oxygen to produce one molecule of carbon dioxide and two molecules of water. Hence, option a is correct.
From,
Number of molecules = Number of moles × Avogadro's number
Since Avogadro's number is constant, hence, the equation also means,
One mole of methane will react with two moles of oxygen to produce one mole of carbon dioxide and two moles of water. Hence, option c is correct.
For the mass relationship,
Mass = Number of moles × Molar mass
Molar mass of methane = 12 + 1(4) = 16 g/mol;
∴1g of methane = 0.0625 mole
Molar mass of oxygen = 16 g/mol;
∴2g of oxygen = 0.125 mole
Molar mass of carbon dioxide = 12 + 16(2) = 44 g/mol;
∴1g of CO₂ = 0.02272 mole
Molar mass of water = 1(2) + 16 = 18 g/mol;
∴2g of water = 0.11111 mole
From the equation 0.0625 mole of methane reacts with 0.125 mole of oxygen to produce 0.0625 mole of carbon dioxide and 0.125 moles of water.
Hence, option b is not correct.
