Amount Of Carbon Dioxide Produced By A Vehicle Combusting Octane Fuel
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Amount Of Carbon Dioxide Produced By A Vehicle Combusting Octane Fuel

An automobile travels 225 miles at 20.5 miles/gallon. What is the amount of carbon dioxide produced if the gasoline is composed of octane (C8H18) whose density is 0.69 g/mL.

The strings: S7P1A15 (containership-mass).
S7P6A66 (grouping/interaction- chemical)

The math:
Both Pj Problem are of Interest, however, Pj Problem of type grouping/interactio (chemical) is in focus.

Combustion of octane as follows:

2C8H18 + 25O2 -------> 16CO2 + 18H2O

Total gallons of octane combusted = 225/20.5 = 10.98 gallons = 10.98 x 3.79 liters = 41.54 Liters
density per liter = 0.69/0.001 = 690 g/L
So, mass of octane = density x volume = 690 x 41.6 = 28704 g

Molar mass of octane = 12x8 + 1x18 = 96 + 18 = 114 g
So, moles of octane combusted = 28704/114 = 251.8 moles

From balanced equation:
2 moles of C8H18 produced 16 moles of CO2
So, 251.8 moles of C8H18 produce (251.8 x 16)/2 = 2014 moles of CO2
Molar mass of CO2 = 12 + 32 = 44 g
So, mass of 2014 moles = 44 x 2014 = 88616 g = 88.6 kg.

Math

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