QuestionFind density $D$ given volume $V=100.0 \mathrm{~mL}$ and mass $M=1.50 \mathrm{~kg}$ . Use $D=\frac{M}{V}$ .

Studdy Solution

STEP 1

Assumptions1. The volume (V) is100.0 mL. The mass (M) is1.50 kg3. We are asked to find the density ()
4. The formula for density is $=\frac{M}{V}$
5. The density is to be calculated in g/mL6.1 kg =1000 g

STEP 2

First, we need to convert the mass from kg to g. We can do this by multiplying the mass in kg by1000.
$M_{g} = M_{kg} \\times1000$

STEP 3

Now, plug in the given value for the mass in kg to calculate the mass in g.
$M_{g} =1.50 \, kg \\times1000$

STEP 4

Calculate the mass in g.
$M_{g} =1.50 \, kg \\times1000 =1500 \, g$

STEP 5

Now that we have the mass in g, we can find the density. This is done by dividing the mass by the volume.
$= \frac{M_{g}}{V}$

STEP 6

Plug in the values for the mass in g and the volume to calculate the density.
$= \frac{1500 \, g}{100.0 \, mL}$

STEP 7

Calculate the density.
$= \frac{1500 \, g}{100.0 \, mL} =15 \, g/mL$ The density of the substance is15 g/mL.

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QuestionFind density $D$ given volume $V=100.0 \mathrm{~mL}$ and mass $M=1.50 \mathrm{~kg}$ . Use $D=\frac{M}{V}$ .

Studdy Solution

STEP 1

Assumptions1. The volume (V) is100.0 mL. The mass (M) is1.50 kg3. We are asked to find the density ()
4. The formula for density is $=\frac{M}{V}$
5. The density is to be calculated in g/mL6.1 kg =1000 g

STEP 2

First, we need to convert the mass from kg to g. We can do this by multiplying the mass in kg by1000.
$M_{g} = M_{kg} \\times1000$

STEP 3

Now, plug in the given value for the mass in kg to calculate the mass in g.
$M_{g} =1.50 \, kg \\times1000$

STEP 4

Calculate the mass in g.
$M_{g} =1.50 \, kg \\times1000 =1500 \, g$

STEP 5

Now that we have the mass in g, we can find the density. This is done by dividing the mass by the volume.
$= \frac{M_{g}}{V}$

STEP 6

Plug in the values for the mass in g and the volume to calculate the density.
$= \frac{1500 \, g}{100.0 \, mL}$

STEP 7

Calculate the density.
$= \frac{1500 \, g}{100.0 \, mL} =15 \, g/mL$ The density of the substance is15 g/mL.

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QuestionFind density DDD given volume V=100.0 mLV=100.0 \mathrm{~mL}V=100.0 mL and mass M=1.50 kgM=1.50 \mathrm{~kg}M=1.50 kg. Use D=MVD=\frac{M}{V}D=VM​.

Studdy Solution

STEP 1

Assumptions1. The volume (V) is100.0 mL. The mass (M) is1.50 kg3. We are asked to find the density ()4. The formula for density is =MV=\frac{M}{V}=VM​5. The density is to be calculated in g/mL6.1 kg =1000 g

STEP 2

First, we need to convert the mass from kg to g. We can do this by multiplying the mass in kg by1000.Mg=Mkgtimes1000M_{g} = M_{kg} \\times1000Mg​=Mkg​times1000

STEP 3

Now, plug in the given value for the mass in kg to calculate the mass in g.Mg=1.50 kgtimes1000M_{g} =1.50 \, kg \\times1000Mg​=1.50kgtimes1000

STEP 4

Calculate the mass in g.Mg=1.50 kgtimes1000=1500 gM_{g} =1.50 \, kg \\times1000 =1500 \, gMg​=1.50kgtimes1000=1500g

STEP 5

Now that we have the mass in g, we can find the density. This is done by dividing the mass by the volume.=MgV = \frac{M_{g}}{V}=VMg​​

STEP 6

Plug in the values for the mass in g and the volume to calculate the density.=1500 g100.0 mL = \frac{1500 \, g}{100.0 \, mL}=100.0mL1500g​

STEP 7

Calculate the density.=1500 g100.0 mL=15 g/mL = \frac{1500 \, g}{100.0 \, mL} =15 \, g/mL=100.0mL1500g​=15g/mLThe density of the substance is15 g/mL.

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QuestionFind density $D$ given volume $V=100.0 \mathrm{~mL}$ and mass $M=1.50 \mathrm{~kg}$ . Use $D=\frac{M}{V}$ .

Assumptions1. The volume (V) is100.0 mL. The mass (M) is1.50 kg3. We are asked to find the density ()
4. The formula for density is $=\frac{M}{V}$
5. The density is to be calculated in g/mL6.1 kg =1000 g

First, we need to convert the mass from kg to g. We can do this by multiplying the mass in kg by1000.
$M_{g} = M_{kg} \\times1000$

Now, plug in the given value for the mass in kg to calculate the mass in g.
$M_{g} =1.50 \, kg \\times1000$

Calculate the mass in g.
$M_{g} =1.50 \, kg \\times1000 =1500 \, g$

Now that we have the mass in g, we can find the density. This is done by dividing the mass by the volume.
$= \frac{M_{g}}{V}$

Plug in the values for the mass in g and the volume to calculate the density.
$= \frac{1500 \, g}{100.0 \, mL}$

Calculate the density.
$= \frac{1500 \, g}{100.0 \, mL} =15 \, g/mL$ The density of the substance is15 g/mL.