While driving your rental car on your vacation in Europe, you find that you are getting 9.5km/L of gasoline. What does this value correspond to in miles per gallon?

Question

I tried but I got it wrong many times x/

Answer 1

Use equivalents in dimensional analysis to convert from km/L to mi/gal

Given: 9.5 km/L

Common equivalents: 1 km = 0.626 mi 1 qt = 0.946 L 1 mi = 5280 ft 1 gal = 4 qts

Conversion factors: usually ^{value in the unit you want}/_{value in the given unit}

examples: ^{12 inches}/_{1 ft} ^{1 ft}/_{12 in} ^{1 yd}/_3ft

Begin with the value given and use conversion factors:

9.5 ^km/_L x ^{0.626 mi}/_{1 km} = 5.9 ^mi/_L (km converted to mi)

When converting a unit in the denominator, the conversion factor is: ^{value in the given unit}/_{value in unit you want}

5.9 ^mi/_L x 0.946 ^L/_qt x 4 ^qt /_gal = 22 ^mi/_gal