One of the most desirable of the old British sports cars was the beautiful Triumph Vitesse (1963-1971). Pictured below is the American version, called the Sports 6. A little expensive back in the day, only 679 were sold. Imagine you are on vacation, and for fun you and your companion select a cool, beautiful day in Gansu Province and ride the G30 highway from Lanzhou to the Mogao caves in Dunhuang, about distance of 686 miles. If you consume gasoline according to:

2 C8H18(l) + 25 O2(g)? 16 CO2(g) + 18 H2O(g)what volume of carbon dioxide gas would be produced by this motoring trip if your fuel consumption was 21.2 miles per gallon? Note that the density of gasoline is 0.805g/cm3, and one mole of any gas at 760 mmHg and 0oC is 22.4 L.

Explanation:

Hello,

In this case, given the reaction:

The total consumed gallons are computed by considering 686 miles were driven and the consumption is 21.2 miles per gallon, thus:

Hence, with the given density, one could compute the consumed grams and consequently moles of gasoline as well as moles that were consumed:

Next, since gasoline (molar mass = 114 is in a 2:16 molar relationship with the yielded carbon dioxide, we compute its produced moles as shown below:

Finally, we could assume the given STP conditions to compute the volume of carbon dioxide, as no more information regarding the space wherein the carbon dioxide is available:

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