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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

Sagot :

maacastrobr

Answer:

16.09 kg

Explanation:

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

  • 5.0 gallons * [tex]\frac{3.78L}{1gallon}[/tex] = 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

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