QuestionCalculate the mass of 125 mL of liquid bromine ( $\mathrm{Br}_{2}$ ) with a density of $3.12 \mathrm{~g/cm}^{3}$ .

Studdy Solution

STEP 1

Assumptions1. The density of bromine is $3.12 \, \mathrm{g/cm^{3}}$ . The volume of bromine is $125 \, \mathrm{m}$
3. We are asked to find the mass of bromine4. We know that density is mass per unit volume, so we can use the formula $Density = \frac{Mass}{Volume}$

STEP 2

We can rearrange the formula to solve for mass.
$Mass = Density \times Volume$

STEP 3

Now, we need to ensure that the units of volume are consistent. The density is given in $\mathrm{g/cm^{3}}$ and the volume is given in $\mathrm{m}$ . We know that $1 \, \mathrm{m} =1 \, \mathrm{cm^{3}}$ , so we can directly use the given volume.

STEP 4

Plug in the given values for the density and volume to calculate the mass.
$Mass =3.12 \, \mathrm{g/cm^{3}} \times125 \, \mathrm{m}$

STEP 5

Calculate the mass.
$Mass =3.12 \, \mathrm{g/cm^{3}} \times125 \, \mathrm{m} =390 \, \mathrm{g}$ The mass of $125 \, \mathrm{m}$ of bromine is $390 \, \mathrm{g}$ .

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