Question

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

Answer 1

0.86 g/mL

Step-by-step 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) =
  `(mass)/(Volume)`

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
`(946.35 mL)/(1 qt.)` = 1,182.94 mL

• 1 pound = 453.592 grams

2.25 pounds x
`(453.592 grams)/(1 pound)` = 1,020.58 grams

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

• ρ =
  `(mass)/(Volume)`

• ρ =
  `(1,020.58 grams)/(1,182.94 mL)`

• ρ = 0.86 g/mL

The density of the motor oil is 0.86 g/mL