Respuesta :

lykabelle

Answer:

0.86 g/mL

Explanation:

In order to solve the problem, you have to know the formula for "Density." Density refers to "mass per unit volume." It's formula is:

  • Density (ρ) = [tex]\frac{mass}{Volume}[/tex]

Next, we have to convert the units of measurement in accordance to what is being asked in the problem. It is asking for "g/mL," which means we have to convert 1.25 quarts (qt.) to mL and 2.25 pounds (lbs.) to grams.

Let's solve.

  • 1 quart = 946.35 mL

1.25 qt. x [tex]\frac{946.35 mL}{1 qt.}[/tex] = 1,182.94 mL

  • 1 pound = 453.592 grams

2.25 pounds x [tex]\frac{453.592 grams}{1 pound}[/tex] = 1,020.58 grams

Now that we converted them to their appropriate units of measurement, we can now solve for density.

  • ρ = [tex]\frac{mass}{Volume}[/tex]
  • ρ = [tex]\frac{1,020.58 grams}{1,182.94 mL}[/tex]
  • ρ = 0.86 g/mL

The density of the motor oil is 0.86 g/mL

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