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Math  /  Numbers & Operations

Question2. Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL . The mercury used to fill the cylinder masses at 306.0 g . From this information, calculate the density of mercury.

Studdy Solution

STEP 1

What is this asking? We need to find out how tightly packed the mercury is, which is its density, given its mass and volume. Watch out! Don't mix up mass and volume!
Mass is how much *stuff* there is, and volume is how much *space* it takes up.

STEP 2

1. Define density
2. Plug in values
3. Calculate density

STEP 3

Alright, so what *is* density anyway?
Density is how much "stuff" is packed into a certain amount of space.
It's like how many jellybeans you can fit in a jar!
More jellybeans, higher density!

STEP 4

The formula for density is: Density=MassVolume \text{Density} = \frac{\text{Mass}}{\text{Volume}} This tells us that density is the **mass** of something divided by its **volume**.

STEP 5

We're given that the **mass** of the mercury is 306.0306.0 g and the **volume** it occupies is 22.522.5 mL.
Let's plug these values into our density formula!

STEP 6

Density=306.0 g22.5 mL \text{Density} = \frac{306.0 \text{ g}}{22.5 \text{ mL}} See how we put the **mass** on top and the **volume** on the bottom?
Just like the formula!

STEP 7

Now, let's do the division! Density=306.022.5gmL \text{Density} = \frac{306.0}{22.5} \frac{\text{g}}{\text{mL}}

STEP 8

Density≈13.6gmL \text{Density} \approx 13.6 \frac{\text{g}}{\text{mL}} So, the density of mercury is approximately **13.613.6 grams per milliliter**.
That means every milliliter of mercury has a mass of about 13.613.6 grams!

STEP 9

The density of mercury is approximately 13.613.6 g/mL.

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