Q74E - Chemistry (OpenStax)

Question

Milk is sold by the liter in many countries. What is the volume of exactly 1/2 gal of milk in liters?

Step-by-Step Solution

Answer

The volume of milk in liters of ½ gal is 1.892 liters.

Step 1: Defining the gallon and liter units

Gallon -

 It is a common unit used to measure the volume in US customary system. This one gallon is equal to 4 quarts and 8 pints. It is equal to 231 in³.

\(1\,\,{\rm{gallon}}\,\, = \,\,3.785\,\,{\rm{liters}}\)

Liter - 

It is also a unit of volume. The liter is widely used to measure the liquid volume. One liter is one-thousandth of one cubic meter. 

\(1\,\,{\rm{liter}}\,\, = \,\,0.264172\,\,{\rm{gallons}}\)

Step 2: Converting the volume of a half-gallon of milk into liters

The volume of milk is 0.5 gal.

But

\(1\,\,{\rm{gallon}}\,\, = \,\,3.785\,\,{\rm{liters}}\)

Using the conversion factor, we get

\(0.5\,\,{\rm{gallon}}\,\, = \,\,\,\left( {0.5\,{\rm{gallon}}\,\, \times \,\,\frac{{3.785\,{\rm{liters}}}}{{{\rm{gallon}}}}} \right)\,\, = \,\,1.8925\,\,{\rm{liters}}\)

The volume of milk of ½ gal in liters is 1.892 L.