Suppose your colleague at work uses 1/2 a gallon of gasoline to drive round-trip between his...

Suppose your colleague at work uses 1/2 a gallon of gasoline to drive round-trip between his house and the office each day. How much chemical potential energy is stored in each 1/2 gallon? Use the following conversions to express your answer in Joules: 1 gallon of gasoline = 6.2 lbs 1 kg = 2.2 lbs 1 MJ (MegaJoule) = 106 Joules The specific density of gasoline is 46 MJ/kg. That is, there are 46 MJ stored in every kilogram of gasoline.

Expert Solution

Ans. ½ gallon gasoline = (½) gallon x (6.2 lb/ gallon) = 3.1 lb ; [1 gallon = 6.2 lb]

= 3.1 lb x [(1/ 2.2) kg/ lb] ; [1 lb = 1/ 2.2 kg]

= 1.41 kg

Thus, mass of ½ gallon gasoline = 1.41 kg

Given,

Specific density of gasoline = 46 MJ/ kg

So,

Energy stored in 1.41 kg gasoline = Specific density of gasoline x Mass of gasoline\ = (46 MJ/ kg) x 1.41 kg

= 64.86 MJ

= 64.86 x 10⁶ J

= 6.486 x 10⁷ J

That is, the chemical potential (chemical energy stored in gasoline) of ½ gallon gasoline = 6.486 x 10⁷ J

queen_honey_blossom answered 2 years ago

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