Fuel efficiency in Europe is commonly defined as fuel consumption per 100 [km]. An American car has a fuel efficiency of 32 [mi/gal) and a European car has a fuel efficiency of 5.2 [L/100 km). Which car is more efficient?

Respuesta :

Answer:

The European car is more efficient (5.2 vs 7.35 L/100km)

Explanation:

To compare the two efficiencies we have to have them in the same units.

We have that 1 mi. is equal to 1.61 km and 1 gal is 3.785 litres.

The american car efficiency can be expressed as:

[tex]Ef=32\frac{mi}{gal}*\frac{1.61km}{1 mi}*\frac{1gal}{3.785\,L}   \\\\Ef=13.6\,km/L[/tex]

We calculate the amount of kilometers the car can make with one litre of fuel. To know the efficiency in L/(100 km) we have to rearrange the expression:

[tex]\eta=\frac{1}{13.6}\frac{L}{km} *\frac{100}{100}=\frac{100}{13.6}*\frac{L}{100\, km} \\\\\eta=7.35 \, \frac{L}{100\, km}[/tex]

We know now that the american car consumes 7.35 L per 100 km, which is higher than the european car.

So, the European car is more efficient (5.2 vs 7.35 L/100km)