ASSUME THE FORMULA OF GASOLINE AS C8H18 AND ITS DENSITY IS 0.71g/ml. IF A CAR GETS 26.2mi/gal (1GAL=3.785L), WHAT IS THE MASSOF CO2 PRODUCED IN A TRIP OF 225mi.? ASSUME COMPLETE COMBUSTION OF GASOLINE. C8H18+25/2 O2= 8CO2+ 9H2O
To find the mass of CO2 produced in a trip of 225 miles, we need to calculate the amount of gasoline consumed and then determine the amount of CO2 produced from that gasoline.
Step 1: Calculate the amount of gasoline consumed
Given that the car gets 26.2 miles per gallon, we can find the amount of gasoline consumed using the following equation:
Amount of gasoline consumed = Distance traveled / Fuel efficiency
Amount of gasoline consumed = 225 miles / 26.2 miles/gallon
To convert gallons to liters, we can use the conversion factor 1 gallon = 3.785 liters:
Amount of gasoline consumed = (225 miles / 26.2 miles/gallon) * (1 gallon / 3.785 liters)
Step 2: Calculate the mass of gasoline consumed
We know the density of gasoline is 0.71 g/ml. Using the volume of gasoline consumed, we can calculate the mass using the following equation:
Mass of gasoline consumed = Volume of gasoline consumed * Density of gasoline
Mass of gasoline consumed = Amount of gasoline consumed * 3.785 liters/gallon * 0.71 g/ml
Step 3: Calculate the moles of CO2 produced
The balanced chemical equation shows that 1 mole of C8H18 produces 8 moles of CO2. Since the molar mass of C8H18 is 114.22 g/mol, we can calculate the moles of CO2 using the following equation:
Moles of CO2 produced = (Mass of gasoline consumed / Molar mass of C8H18) * 8 moles of CO2 / 1 mole of C8H18
Step 4: Calculate the mass of CO2 produced
The molar mass of CO2 is 44.01 g/mol. Using the moles of CO2 produced, we can calculate the mass of CO2 using the following equation:
Mass of CO2 produced = Moles of CO2 produced * Molar mass of CO2
Performing the calculations, we can find the answer.