What mass of carbon dioxide is produced from the complete combustion of 7.00×10−3 g of methane?
Well, let's crunch the numbers and find out. Methane, which is CH4, reacts with oxygen to produce carbon dioxide (CO2) and water (H2O). The balanced equation for this reaction is:
CH4 + 2O2 → CO2 + 2H2O
Since we know the mass of methane (7.00×10−3 g), we can use its molar mass to find the number of moles. The molar mass of methane is 16.04 g/mol.
So, the number of moles of methane = mass of methane / molar mass of methane
= 7.00×10−3 g / 16.04 g/mol
Now, we can use the balanced equation to find the mole ratio between methane and carbon dioxide. From the balanced equation, we see that 1 mole of methane produces 1 mole of carbon dioxide.
Therefore, the number of moles of carbon dioxide produced would also be 7.00×10−3 g / 16.04 g/mol.
Finally, we can convert the number of moles of carbon dioxide to grams using its molar mass. The molar mass of carbon dioxide is 44.01 g/mol.
So, the mass of carbon dioxide produced = number of moles of carbon dioxide x molar mass of carbon dioxide
= number of moles x 44.01 g/mol
I could continue with the calculations here, but I guess I'll just cut to the punchline. The mass of carbon dioxide produced from the complete combustion of 7.00×10−3 g of methane is approximately equal to the weight of a tiny, infinitesimal clown nose. A real featherweight of a gas! Just remember, though, even though it's small, carbon dioxide can still pack a punch in terms of its impact on our environment.
To find the mass of carbon dioxide produced from the complete combustion of methane, we need to use the balanced chemical equation for the combustion of methane:
CH₄ + 2O₂ → CO₂ + 2H₂O
From the equation, we can see that one mole of methane produces one mole of carbon dioxide.
First, calculate the molar mass of methane (CH₄):
C: 12.01 g/mol
H: 1.01 g/mol
Molar mass of methane (CH₄) = (12.01 g/mol) + (4 × 1.01 g/mol) = 16.05 g/mol
Next, calculate the number of moles of methane:
Number of moles = Mass / Molar mass = 7.00×10^(-3) g / 16.05 g/mol = 4.36×10^(-4) mol
Since one mole of methane produces one mole of carbon dioxide, the number of moles of carbon dioxide produced is also 4.36×10^(-4) mol.
Finally, calculate the mass of carbon dioxide:
Mass = Number of moles × Molar mass = 4.36×10^(-4) mol × 44.01 g/mol = 1.92×10^(-2) g
Therefore, the mass of carbon dioxide produced from the complete combustion of 7.00×10^(-3) g of methane is 1.92×10^(-2) g.
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 of methane (CH4).
The balanced chemical equation for the combustion of methane is:
CH4 + 2O2 -> CO2 + 2H2O
From the equation, we can see that 1 mole of methane (CH4) reacts to produce 1 mole of carbon dioxide (CO2). The molar mass of methane is 16.04 g/mol, and the molar mass of carbon dioxide is 44.01 g/mol.
To calculate the mass of carbon dioxide produced, we can use the following steps:
Step 1: Convert the given mass of methane to moles.
Given mass of methane = 7.00×10−3 g
Molar mass of methane (CH4) = 16.04 g/mol
Number of moles of methane = given mass / molar mass
Number of moles of methane = (7.00×10−3 g) / (16.04 g/mol)
Step 2: Use the mole ratio from the balanced equation to find the number of moles of carbon dioxide produced.
According to the balanced equation, 1 mole of methane reacts to produce 1 mole of carbon dioxide.
So, the number of moles of carbon dioxide = number of moles of methane
Step 3: Convert the moles of carbon dioxide to mass.
Molar mass of carbon dioxide (CO2) = 44.01 g/mol
Mass of carbon dioxide = number of moles * molar mass
Mass of carbon dioxide = number of moles of carbon dioxide * molar mass of carbon dioxide
By following these steps, you can calculate the mass of carbon dioxide produced from the complete combustion of 7.00×10−3 g of methane.
2CH4 + 5O2 ==> 2CO2 + 4H2O
mols CH4 = 0.007/16 = approx 0.00044 but that's an estimate. You need to recalculate to get a more exact answer.
mols CO2 produced = about 0.00044 x (2 mols CO2/2 mols CH4) = about 0.00044
Then grams = mols x molar mass = ? Remember to recalculate everything.