Math Snap

STEP 1

Assumptions1. The density of the liquid is $1.15 \, \mathrm{g/mL}$
. The volume of the container is $50.00 \, \mathrm{m}$
3. We are using the formula for density, which is mass/volume4. We are solving for mass

STEP 2

We start with the formula for density$$Density = \frac{Mass}{Volume}$$

STEP 3

We want to solve for mass, so we rearrange the formula to isolate mass on one side$$Mass = Density \times Volume$$

STEP 4

Now, we plug in the given values for density and volume to calculate the mass$$Mass =1.15 \, \mathrm{g/mL} \times50.00 \, \mathrm{m}$$

STEP 5

Calculate the mass$$Mass =1.15 \, \mathrm{g/mL} \times50.00 \, \mathrm{m} =57.5 \, \mathrm{g}$$The mass of the liquid needed to fill the container is57.5 grams.

STEP 6

For problem2.117, we will use unit analysis. Start with the volume of the container$$50.00 \, \mathrm{m}$$

STEP 7

Multiply the volume by the density. The units of mL will cancel out, leaving us with grams$$50.00 \, \mathrm{m} \times1.15 \, \mathrm{g/mL}$$

Calculate the mass$$50.00 \, \mathrm{m} \times1.15 \, \mathrm{g/mL} =57.5 \, \mathrm{g}$$The mass of the liquid needed to fill the container is57.5 grams.