A gallon of milk weighs 8.09 lb. Calculate the density of milk in grams per cubic centimeter.

Matonya

Matonya

Answered question

2022-08-13

A gallon of milk weighs 8.09 lb. Calculate the density of milk in grams per cubic centimeter.

Answer & Explanation

Kole Weber

Kole Weber

Beginner2022-08-14Added 16 answers

Mass of one gallon of milk is = 8.09 lb
The density of milk in grams per cubic centimeter is =?
The mass of a unit volume of a substance is known as density. The density of milk is given by:
denisty of milk = mass of milk volume of milk denisty of milk = 8.09  lb 1  gallon
We know that:
1  lb = 453.592  g 1  gallon = 3785.41  cm 3
Let's convert the density into grams per cubic centimeter:
denisty of milk = 8.09  lb 1  gallon × 453.592  g 1  lb × 1  gallon 3785.41  cm 3 denisty of milk = 8.09  lb 1 × 453.592  g 1 × 1 3785.41  cm 3 denisty of milk = 0.9694  g/cm 3 denisty of milk = 0.970  g/cm 3
The density of milk in grams per cubic centimeter is = 0.970  g/cm 3
RizerMix

RizerMix

Expert2023-05-12Added 656 answers

Given information:
Weight of a gallon of milk: 8.09lb
Conversion factors:
1 pound (lb) = 453.592grams
1 gallon (gal) = 231cubic inches
1 cubic inch (in3) = 16.387cubic centimeters
First, let's convert the weight of milk from pounds to grams:
Weight of milk in grams = 8.09lb×453.592grams/lb
Now, let's convert the volume of a gallon from cubic inches to cubic centimeters:
Volume of a gallon in cubic centimeters = 231in3×16.387cm3/in3
Finally, we can calculate the density of milk by dividing the weight in grams by the volume in cubic centimeters:
Density of milk in g/cm3=Weight of milk in gramsVolume of a gallon in cubic centimeters
Therefore, the density of milk in grams per cubic centimeter is given by:
Density of milk=8.09lb×453.592grams/lb231in3×16.387cm3/in3
Let's calculate the value:
Density of milk=8.09×453.592231×16.387g/cm3
Simplifying the expression:
Density of milk=3679.622283780.897g/cm3
Dividing the numerator and denominator:
Density of milk0.972g/cm3
Therefore, the density of milk is approximately 0.972g/cm3.
karton

karton

Expert2023-05-12Added 613 answers

To calculate the density of milk in grams per cubic centimeter (g/cm3), we need to convert the given weight in pounds to grams and calculate the volume of milk in cubic centimeters.
First, let's convert the weight of a gallon of milk from pounds to grams. We know that 1 pound is equal to 453.592 grams.
Weight of milk in grams:
8.09lb×453.592g/lb=3679.29228g
Next, we need to find the volume of milk in cubic centimeters. We know that 1 gallon is equal to 3,785.41 cubic centimeters.
Volume of milk in cubic centimeters:
1gallon×3,785.41cm3/gallon=3785.41cm3
Now, we can calculate the density of milk by dividing the weight by the volume:
Density of milk:
3679.29228g3785.41cm3=0.971g/cm3
Therefore, the density of milk is approximately 0.971 grams per cubic centimeter (g/cm3).

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