Question

Suppose one gallon of gasoline produces 1.19×10⁸ J of energy, and this energy is sufficient to operate a car for 21.1 miles. An aspirin tablet has a mass of 324 mg. If the aspirin could be converted completely into thermal energy, how many miles could the car go on a single tablet? Please explain units needed in each equation!

Answer 1

Lets, according to question

  one gallon of gasoline produces 1.19×10⁸ J of energy, E= 1.19×10⁸ J

And energy is sufficient to operate a car for 21.1 miles .

   Aspirin tablet has a mass of 324 mg

  

It Is clear that,

1.19×10⁸ J of energy operates the gallon for 21.1 mile

So, the energy required to operate the gallon for single mile or every mile =E₁

_Then    J

  .................................................(1)

If the aspirin could be converted completely into thermal energy

Again we can say that, the energy equivalent to one aspirin tablet of mass m=325×10^-6 kg

and we know E=mc²

E= (325×10^-6 kg)*(3.0×10⁸ m/s)²

  E=2.925×10¹³J

  

So, the distance to which the gallon can be operated with this energy is =d

and

  

  The car go on a single tablet is,