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ValentinkaMS [17]
3 years ago
11

What is the density of motor oil in g/mL if 1.25 quart (qt) weighs 2.25 pounds (lb)?

Chemistry
1 answer:
Doss [256]3 years ago
5 0

Answer:

0.86 g/mL

Explanation:

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

  • <em>Density (ρ) = </em>\frac{mass}{Volume}<em />

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<em> (qt.) </em>to mL and 2.25 pounds<em> (lbs.)</em> to grams.

Let's solve.

  • 1 quart = 946.35 mL

1.25 qt. x \frac{946.35 mL}{1 qt.} =<em> 1,182.94 mL</em>

  • 1 pound = 453.592 grams

2.25 pounds x \frac{453.592 grams}{1 pound} = <em>1,020.58 grams</em>

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

  • <em>ρ = </em>\frac{mass}{Volume}<em />
  • <em>ρ = </em>\frac{1,020.58 grams}{1,182.94 mL}<em />
  • <em>ρ = 0.86 g/mL</em>

<em>The density of the motor oil is 0.86 g/mL</em>

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