9.1k views
25 votes
Ethanol, the alcohol in alcoholic beverages, has a density of 0.7893 g/mL. What is the shipping weight of a 5.0-gallon container of pure ethanol if the bottle weighs 1.82 lb and the shipping container and packaging weigh 0.76 lb

User Kurige
by
8.1k points

1 Answer

4 votes

Answer:

16.09 kg

Step-by-step explanation:

To solve this problem first we convert those 5.0 gallons of ethanol into liters:

  • 5.0 gallons *
    (3.78L)/(1gallon) = 18.9 L

Now we calculate the mass of that volume of ethanol, using its density:

We convert 18.9 L ⇒ 18.9 * 1000 = 18900 mL

  • Mass = Density * Volume
  • Mass = 0.7893 g/mL * 18900 mL = 14917.77 g

Finally we convert the masses of the bottle and shipping container and packaging and add them to the mass of ethanol:

  • 1.82 lb * 453.592 = 825.54 g
  • 0.76 lb * 453.592 = 344.73 g
  • Total Mass = 14917.77 g + 825.54 g + 344.73 g = 16088.04 g

So the shipping weight would be 16088.04 g, or 16.09 kg

User River
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.