What mass of carbon dioxide is produced from the complete combustion of 5.20×10−3 of methane?
is 5.20x10^-3 in moles?
combustion of methane (CH4):
CH4 + O2 --> H2O + CO2
*combustion reaction: products are usually water and carbon dioxide
balance this equation first, then use stoichiometric ratios (the ratio of the moles of CH4 and CO2), to find number of moles of carbon dioxide,,
then multiply this by molar mass of CO2 (which is about 44 g/mol) to get its mass.
hope this helps~
To determine the mass of carbon dioxide produced from the complete combustion of methane, we need to use the balanced equation for the reaction:
CH4 + 2O2 -> CO2 + 2H2O
From the balanced equation, we can see that for every 1 mole of methane (CH4) combusted, 1 mole of carbon dioxide (CO2) is produced.
The molar mass of methane is 16.04 g/mol and the molar mass of carbon dioxide is 44.01 g/mol.
First, let's calculate the number of moles of methane in 5.20×10−3 g:
moles of methane = mass / molar mass
moles of methane = 5.20×10−3 g / 16.04 g/mol
Next, let's calculate the moles of carbon dioxide produced by multiplying the moles of methane by the stoichiometric coefficient for carbon dioxide:
moles of carbon dioxide = moles of methane * (1 mole CO2 / 1 mole CH4)
Finally, to calculate the mass of carbon dioxide produced, multiply the moles of carbon dioxide by the molar mass of carbon dioxide:
mass of carbon dioxide = moles of carbon dioxide * molar mass CO2
Let's calculate:
moles of methane = 5.20×10−3 g / 16.04 g/mol
moles of methane ≈ 0.000324 mol
moles of carbon dioxide = 0.000324 mol * (1 mole CO2 / 1 mole CH4)
moles of carbon dioxide = 0.000324 mol
mass of carbon dioxide = 0.000324 mol * 44.01 g/mol
mass of carbon dioxide ≈ 0.0143 g
Therefore, approximately 0.0143 g of carbon dioxide is produced from the complete combustion of 5.20×10−3 g of methane.
To determine the mass of carbon dioxide produced from the complete combustion of methane, we need to use the balanced chemical equation for the combustion reaction:
CH4 + 2O2 → CO2 + 2H2O
The coefficient in front of each compound represents the mole ratio between reactants and products. From the equation, we can see that 1 mole of methane (CH4) produces 1 mole of carbon dioxide (CO2).
To find the mass of carbon dioxide produced, we need to convert the given mass of methane to moles, then use the mole ratio to convert to the mass of carbon dioxide.
First, let's calculate the moles of methane:
Molecular mass of methane (CH4) = 12.01 g/mol (C) + 4(1.01 g/mol) (H) = 16.04 g/mol
Moles of methane = Mass of methane / Molecular mass of methane
Moles of methane = 5.20×10−3 g / 16.04 g/mol
Now, we can use the mole ratio to convert moles of methane to moles of carbon dioxide. Since the ratio is 1:1, the number of moles of carbon dioxide will be the same as the number of moles of methane.
Moles of carbon dioxide = Moles of methane
Finally, we can calculate the mass of carbon dioxide:
Mass of carbon dioxide = Moles of carbon dioxide × Molecular mass of carbon dioxide
Molecular mass of carbon dioxide = 12.01 g/mol (C) + 2(16.00 g/mol) (O) = 44.01 g/mol
Mass of carbon dioxide = Moles of carbon dioxide × Molecular mass of carbon dioxide
Therefore, to find the mass of carbon dioxide produced, you need to find the moles of methane first, using the given mass, and then multiply the moles of methane by the molar mass of carbon dioxide.