calculate the mass of carbon dioxide that would be produced when one gas of tank of gasoline (use octane) is burned in the air. assume an 80 liter gas tank and 0.703 g/ml as the density of octane
2C8H18 + 25O2 --> 16CO2 + 18H2O
80L gasoline.
mass = volume x density = 80,000 mL x 0.703 g/mL = ?
mols octane = grams/molar mass octane = ?
Using the coefficients in the balanced equation, convert mols octane to mols CO2.
Now convert mols CO2 to mass. grams CO2 = mols CO2 x molar mass CO2
To calculate the mass of carbon dioxide produced when burning one gas tank of octane, we need to know the chemical formula of octane and the balanced equation for its combustion reaction.
Octane, which belongs to the alkane family, has the chemical formula C8H18. The balanced equation for its combustion reaction is:
2C8H18 + 25O2 -> 16CO2 + 18H2O
From the balanced equation, we know that for every 2 moles of octane burned, we produce 16 moles of carbon dioxide.
Next, let's determine the number of moles of octane in one gas tank. We can do this by using the given density of octane and the volume of the gas tank.
Density = Mass / Volume
Rearranging the equation, we can solve for mass:
Mass = Density * Volume
Given that the density of octane is 0.703 g/ml and the volume of the gas tank is 80 liters, we can calculate the mass of octane:
Mass of octane = 0.703 g/ml * 80 L * 1000 ml/L = 56,240 g
To convert the mass of octane to moles, we need to know the molar mass of octane, which is the sum of the atomic masses of its individual atoms.
Molar mass of octane:
C: 12.01 g/mol x 8 = 96.08 g/mol
H: 1.01 g/mol x 18 = 18.18 g/mol
Molar mass of octane = 96.08 g/mol + 18.18 g/mol = 114.26 g/mol
Now, we can calculate the number of moles of octane:
Moles of octane = Mass of octane / Molar mass of octane
Moles of octane = 56,240 g / 114.26 g/mol ≈ 492.13 mol
Since we have determined the number of moles of octane, we can now find the mass of carbon dioxide produced:
Moles of carbon dioxide = 16 moles of CO2 / 2 moles of octane * Moles of octane
Moles of carbon dioxide = 16/2 * 492.13 mol = 3,937.04 mol
To convert the moles of carbon dioxide to grams, we can use the molar mass of carbon dioxide, which is approximately 44 g/mol.
Mass of carbon dioxide = Moles of carbon dioxide * Molar mass of CO2
Mass of carbon dioxide = 3,937.04 mol * 44 g/mol ≈ 173,100.16 g
Therefore, when one gas tank of octane is burned, it produces approximately 173,100 grams (or 173.1 kg) of carbon dioxide.