The gas tank of a 2015 Nissan Sentra holds 13.2 gallons. How many pounds of carbon dioxide are produced by burning an entire tank of gas?
Express your answer rounded to the nearest tenth of a pound.

Respuesta :

About 19.6 pounds of CO2 are produced from burning a (US) gallon of gasoline.
Source: www.eia.gov/tools/faqs/faq.php?id=307&t=11
So the mass of CO2 produced by burning 1 tank of gasoline is
19.6*13.2=258.7 pounds.

Answer:

0.2 lb

Step-by-step explanation:

The gas used for fuel is mostly methane (CH₄), with a density of about 0.808 g/L. The combustion reaction is:

CH₄ + 2 O₂ → CO₂ + 2 H₂O

We can establish the following relations:

  • 1 gal = 3.78 L
  • 1L of CH₄ has a mass of 0.808 g.
  • The molar mass of CH₄ is 16.04 g/mol.
  • The molar ratio of CH₄ to CO₂ is 1:1
  • The molar mass of CO₂ is 44.01 g/mol
  • 1 lb = 453.59 g

The mass of CO₂ released when 13.2 gallons of CH₄ burn is:

[tex]13.2galCH_{4}\frac{3.78LCH_{4}}{1galCH_{4}} .\frac{0.808gCH_{4}}{1LCH_{4}}.\frac{1molCH_{4}}{16.04gCH_{4}} .\frac{1molCO_{2}}{1molCH_{4}} .\frac{44.01gCO_{2}}{1molCO_{2}} .\frac{1lbCO_{2}}{453.59gCO_{2}} =0.243lbCO_{2}\approx 0.2 lbCO_{2}[/tex]

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