Consider the reaction represented by the equation below
CH4+2O2>CO2+2H2O
How many moles of CO2 will be produced from 32g of CH4?
[H=1,C=12,O=16]
To determine the number of moles of CO2 that will be produced from 32g of CH4, we need to use the molar mass of CH4 and the stoichiometry of the balanced equation.
The molar mass of CH4 is:
1(12.01) + 4(1.01) = 16.04 g/mol
Now, we need to use the balanced equation to determine the stoichiometry between CH4 and CO2. According to the equation, 1 mole of CH4 produces 1 mole of CO2. Therefore, the stoichiometric ratio is 1:1.
Now we can calculate the number of moles of CH4 in 32g by dividing the mass by the molar mass:
32g CH4 / 16.04 g/mol = 1.995 mol CH4
Since the stoichiometric ratio is 1:1 between CH4 and CO2, the number of moles of CO2 produced will be the same as the number of moles of CH4:
1.995 mol CO2
Therefore, 32g of CH4 will produce approximately 1.995 moles of CO2.
To determine the number of moles of CO2 produced from 32g of CH4, we need to use the molar mass of CH4 and the stoichiometry of the balanced chemical equation.
1. Calculate the molar mass of CH4:
The molar mass of carbon (C) is 12g/mol, and the molar mass of hydrogen (H) is 1g/mol. Since CH4 has one carbon atom and four hydrogen atoms, the molar mass of CH4 is:
(1 × 12 g/mol) + (4 × 1 g/mol) = 16 g/mol
2. Convert the given mass of CH4 to moles:
Using the molar mass of CH4 calculated above, we can convert 32g of CH4 to moles:
Number of moles = given mass / molar mass
Number of moles = 32g / 16 g/mol = 2 mol
3. Determine the stoichiometry:
The balanced chemical equation shows that for every 1 mole of CH4, 1 mole of CO2 is produced. So, for 2 moles of CH4, we would expect 2 moles of CO2.
Therefore, 32g of CH4 will produce 2 moles of CO2.
To determine the number of moles of CO2 produced from 32g of CH4, follow these steps:
1. Start by calculating the molar mass of CH4 by adding up the atomic masses of its constituent elements:
Molar mass of CH4 = (C: 12.01 g/mol) + (H: 1.01 g/mol x 4) = 16.04 g/mol
2. Convert the given mass of CH4 to moles using the equation:
Moles of CH4 = Mass of CH4 / Molar mass of CH4
= 32 g / 16.04 g/mol
≈ 1.99 mol
3. Next, use the stoichiometric coefficients from the balanced equation to determine the moles of CO2 produced from the moles of CH4.
From the balanced equation CH4 + 2O2 > CO2 + 2H2O, the stoichiometric coefficient of CO2 is 1.
Therefore, the moles of CO2 produced = Moles of CH4 x (Moles of CO2 / Moles of CH4)
= 1.99 mol x (1 mol CO2 / 1 mol CH4)
= 1.99 mol
So, 32g of CH4 will produce approximately 1.99 moles of CO2.