The super-evil mad scientist, Doctor Dysprosium, is as it again! This time she h

Question

The super-evil mad scientist, Doctor Dysprosium, is as it again! This time she has decided to wage war on Earth's organisms by assisting Global Climate Change and pit herself against another top contender for the Most Evil Award for Carbon Dioxide Emissions: gasoline! 1. If a typical passenger vehicle drives an average of 11,400 miles in a year at 21.6 miles per gallon, how many gallons of gasoline one car consume in a year? 2. Gasoline has a density of 0.74 g/mL and is mostly composed of octane, CH). When combusted, octane produces CO2(g) and H2O(g). Balance the following equation and use the volume of gasoline from #1 to determine the mass of COdg) produced each year by a single passenger vehicle. 3. Doctor Dysprosium has decided to beat the passenger vehicle by dumping a bunch of coal into Kilauea, Hawai's most famous volcano. How many tons of coal will she need to burn in order to match the annual carbon emissions from a single passenger vehicle? C( s) + O2(g) CO2(g)

Explanation / Answer

1.     21,6 miles ------1 gallon

       11.400 miles ------    x ----> x= 527.8 gallons

2.   C8H18 + 25/2 O2 -----> 8CO2 + 9H2O

   1 gallon ------ 3.7854118 L

    527.8 gallon ---- x ---> x= 1998 L

d= mass/ volume (mL)----> mass= 0.74g/mL x 1998000 mL= 1478520 g

mol= mass/Molecular Weight= 1478520 g/114 g/mol= 12969.5 mol

1 mol C8H18 ----------- 8 mol CO2

12969.5 mol     ---------    x---> x= 103752 mol-----> mass= mol x MW = 103752 mol x 44g/mol = 4565088 g

3. 1 mol C ----- 1mol CO2

         x   --------   103752 mol CO2

x= 103752 mol C ----> mass= 103752 mol x 12g/mol= 1245024g ---> 1.245024 tons               

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