QuestionFind the mass in grams of a liquid with density $1.15 \mathrm{~g} / \mathrm{mL}$ to fill a 50.00 - $\mathrm{mL}$ container. Use algebraic manipulation.

Studdy Solution

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 $50.00 \, \mathrm{m} \times1.15 \, \mathrm{g/mL}$

STEP 8

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.

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QuestionFind the mass in grams of a liquid with density $1.15 \mathrm{~g} / \mathrm{mL}$ to fill a 50.00 - $\mathrm{mL}$ container. Use algebraic manipulation.

Studdy Solution

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 $50.00 \, \mathrm{m} \times1.15 \, \mathrm{g/mL}$

STEP 8

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.

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QuestionFind the mass in grams of a liquid with density 1.15 g/mL1.15 \mathrm{~g} / \mathrm{mL}1.15 g/mL to fill a 50.00 - mL\mathrm{mL}mL container. Use algebraic manipulation.

Studdy Solution

STEP 1

Assumptions1. The density of the liquid is 1.15 g/mL1.15 \, \mathrm{g/mL}1.15g/mL . The volume of the container is 50.00 m50.00 \, \mathrm{m}50.00m3. We are using the formula for density, which is mass/volume4. We are solving for mass

STEP 2

We start with the formula for densityDensity=MassVolumeDensity = \frac{Mass}{Volume}Density=VolumeMass​

STEP 3

We want to solve for mass, so we rearrange the formula to isolate mass on one sideMass=Density×VolumeMass = Density \times VolumeMass=Density×Volume

STEP 4

Now, we plug in the given values for density and volume to calculate the massMass=1.15 g/mL×50.00 mMass =1.15 \, \mathrm{g/mL} \times50.00 \, \mathrm{m}Mass=1.15g/mL×50.00m

STEP 5

Calculate the massMass=1.15 g/mL×50.00 m=57.5 gMass =1.15 \, \mathrm{g/mL} \times50.00 \, \mathrm{m} =57.5 \, \mathrm{g}Mass=1.15g/mL×50.00m=57.5gThe 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 container50.00 m50.00 \, \mathrm{m}50.00m

STEP 7

Multiply the volume by the density. The units of mL will cancel out, leaving us with grams50.00 m×1.15 g/mL50.00 \, \mathrm{m} \times1.15 \, \mathrm{g/mL}50.00m×1.15g/mL

STEP 8

Calculate the mass50.00 m×1.15 g/mL=57.5 g50.00 \, \mathrm{m} \times1.15 \, \mathrm{g/mL} =57.5 \, \mathrm{g}50.00m×1.15g/mL=57.5gThe mass of the liquid needed to fill the container is57.5 grams.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the mass in grams of a liquid with density $1.15 \mathrm{~g} / \mathrm{mL}$ to fill a 50.00 - $\mathrm{mL}$ container. Use algebraic manipulation.

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

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

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

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

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.

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

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.