Assuming that gasoline is pure octane (d = 0.703 g/mL), how many metric tons of CO2 are released in a year by an SUV that gets 19 mpg and is driven 17500. miles?
2C8H18 + 25O2 ==> 16CO2 + 18H2O
17,500 miles/19.2 mpg = ? gallons.
? gallons x 3.785 liters/gallon.
?liters x 1000 = ?mL
?mL x 0.703 g/mL = ? grams
grams octane/molar mass octane = mols octane.
Using the coefficients in the balanced equation, convert mols Octant to mols CO2 produced.
?mols CO2 x molar mass CO2 = grams CO2
?grams x xxx = metric tons CO2.
8.923 x10 ^-6 MT
There are 256 x 106 cars in the US. If each car is driven 12,000 miles/year, and averages 20 miles/gallon (octane, C8H18, density = 0.780 g/mL), how many tons of CO2 are produced per year?
To calculate the amount of CO2 released by the SUV, we need to consider the following steps:
Step 1: Calculate the amount of gasoline consumed by the SUV in a year.
Step 2: Calculate the mass of the consumed gasoline.
Step 3: Calculate the moles of octane in the consumed gasoline.
Step 4: Calculate the moles of carbon dioxide (CO2) produced from the combustion of octane.
Step 5: Convert moles of CO2 to mass in metric tons.
Let's go through each step:
Step 1: Calculate the amount of gasoline consumed by the SUV in a year.
To calculate the amount of gasoline consumed, we can use the given information:
- SUV's fuel efficiency: 19 miles per gallon (mpg)
- Total miles driven in a year: 17500 miles
Gasoline consumed = Total miles driven / Fuel efficiency
Gasoline consumed = 17500 miles / 19 mpg
Step 2: Calculate the mass of the consumed gasoline.
To calculate the mass of the consumed gasoline, we need to know the density of gasoline.
Given: Density of pure octane (d) = 0.703 g/mL
Mass of gasoline consumed = Volume of gasoline consumed × Density
To find the volume of gasoline consumed, we need to convert miles to liters using the conversion factor 1 gallon = 3.7854 liters.
Volume of gasoline consumed = Gasoline consumed (in gallons) × 3.7854 liters/gallon
Now, we can calculate the mass:
Mass of gasoline consumed = Volume of gasoline consumed × Density
Step 3: Calculate the moles of octane in the consumed gasoline.
To calculate the moles of octane, we need to know the molar mass of octane (C8H18).
The molar mass of carbon (C) is 12.01 g/mol, and for hydrogen (H), it is 1.01 g/mol.
Molar mass of octane (C8H18) = 8 × Molar mass of carbon + 18 × Molar mass of hydrogen
Step 4: Calculate the moles of carbon dioxide (CO2) produced from the combustion of octane.
For every mole of octane burned, 8 moles of carbon dioxide (CO2) are produced.
So, Moles of CO2 produced = Moles of octane consumed × 8
Step 5: Convert moles of CO2 to mass in metric tons.
To convert moles of CO2 to mass in metric tons, we need to know the molar mass of carbon dioxide (CO2), which is 44.01 g/mol.
Now, we can calculate the mass of CO2 in grams:
Mass of CO2 = Moles of CO2 produced × Molar mass of CO2
Finally, we can convert the mass of CO2 to metric tons by dividing by 1,000,000 (1 metric ton = 1,000,000 grams).
So, we follow these steps to calculate the amount of CO2 released by the SUV.