QuestionFind the density of a liquid weighing $4.3 \times 10^{3} \mathrm{~g}$ in a tank measuring $14.3 \mathrm{~cm} \times 7.30 \mathrm{~cm} \times 72.0 \mathrm{~cm}$ in $\mathrm{Kg} / \mathrm{L}$ .

Studdy Solution

STEP 1

Assumptions1. The dimensions of the tank are $14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm}$ . The weight of the liquid is $4.3 \times10^{3} \mathrm{~g}$
3. We need to find the density of the liquid in $\mathrm{Kg} / \mathrm{}$
4. The tank is completely filled with the liquid

STEP 2

First, we need to find the volume of the tank, which is also the volume of the liquid since the tank is completely filled. The volume of a rectangular tank can be found by multiplying its length, width, and height.
$Volume = Length \times Width \times Height$

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume.
$Volume =14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm}$

STEP 4

Calculate the volume of the tank.
$Volume =14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm} =75192 \mathrm{~cm}^3$

STEP 5

Since we need the density in $\mathrm{Kg} / \mathrm{}$ , we need to convert the volume from $\mathrm{cm}^3$ to $\mathrm{}$ . We know that $1 \mathrm{~cm}^3 =0.001 \mathrm{~}$ .
$Volume =75192 \mathrm{~cm}^3 \times0.001 \mathrm{~/cm}^3$

STEP 6

Calculate the volume in liters.
$Volume =75192 \mathrm{~cm}^3 \times0.001 \mathrm{~/cm}^3 =75.192 \mathrm{~}$

STEP 7

Now we need to find the mass of the liquid. Since the weight is given in grams, we need to convert it to kilograms as we need the density in $\mathrm{Kg} / \mathrm{}$ . We know that $1 \mathrm{~g} =0.001 \mathrm{~Kg}$ .
$Mass =4.3 \times10^{3} \mathrm{~g} \times0.001 \mathrm{~Kg/g}$

STEP 8

Calculate the mass in kilograms.
$Mass =4.3 \times10^{3} \mathrm{~g} \times0.001 \mathrm{~Kg/g} =4.3 \mathrm{~Kg}$

STEP 9

Now that we have the mass in kilograms and the volume in liters, we can find the density of the liquid. Density is defined as mass per unit volume.
$Density = Mass / Volume$

STEP 10

Plug in the values for the mass and the volume to calculate the density.
$Density =4.3 \mathrm{~Kg} /75.192 \mathrm{~}$

STEP 11

Calculate the density of the liquid.
$Density =4.3 \mathrm{~Kg} /75.192 \mathrm{~} =0.057 \mathrm{Kg/L}$ The density of the liquid is $0.057 \mathrm{Kg/L}$ .

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QuestionFind the density of a liquid weighing $4.3 \times 10^{3} \mathrm{~g}$ in a tank measuring $14.3 \mathrm{~cm} \times 7.30 \mathrm{~cm} \times 72.0 \mathrm{~cm}$ in $\mathrm{Kg} / \mathrm{L}$ .

Studdy Solution

STEP 1

Assumptions1. The dimensions of the tank are $14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm}$ . The weight of the liquid is $4.3 \times10^{3} \mathrm{~g}$
3. We need to find the density of the liquid in $\mathrm{Kg} / \mathrm{}$
4. The tank is completely filled with the liquid

STEP 2

First, we need to find the volume of the tank, which is also the volume of the liquid since the tank is completely filled. The volume of a rectangular tank can be found by multiplying its length, width, and height.
$Volume = Length \times Width \times Height$

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume.
$Volume =14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm}$

STEP 4

Calculate the volume of the tank.
$Volume =14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm} =75192 \mathrm{~cm}^3$

STEP 5

Since we need the density in $\mathrm{Kg} / \mathrm{}$ , we need to convert the volume from $\mathrm{cm}^3$ to $\mathrm{}$ . We know that $1 \mathrm{~cm}^3 =0.001 \mathrm{~}$ .
$Volume =75192 \mathrm{~cm}^3 \times0.001 \mathrm{~/cm}^3$

STEP 6

Calculate the volume in liters.
$Volume =75192 \mathrm{~cm}^3 \times0.001 \mathrm{~/cm}^3 =75.192 \mathrm{~}$

STEP 7

Now we need to find the mass of the liquid. Since the weight is given in grams, we need to convert it to kilograms as we need the density in $\mathrm{Kg} / \mathrm{}$ . We know that $1 \mathrm{~g} =0.001 \mathrm{~Kg}$ .
$Mass =4.3 \times10^{3} \mathrm{~g} \times0.001 \mathrm{~Kg/g}$

STEP 8

Calculate the mass in kilograms.
$Mass =4.3 \times10^{3} \mathrm{~g} \times0.001 \mathrm{~Kg/g} =4.3 \mathrm{~Kg}$

STEP 9

Now that we have the mass in kilograms and the volume in liters, we can find the density of the liquid. Density is defined as mass per unit volume.
$Density = Mass / Volume$

STEP 10

Plug in the values for the mass and the volume to calculate the density.
$Density =4.3 \mathrm{~Kg} /75.192 \mathrm{~}$

STEP 11

Calculate the density of the liquid.
$Density =4.3 \mathrm{~Kg} /75.192 \mathrm{~} =0.057 \mathrm{Kg/L}$ The density of the liquid is $0.057 \mathrm{Kg/L}$ .

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QuestionFind the density of a liquid weighing 4.3×103 g4.3 \times 10^{3} \mathrm{~g}4.3×103 g in a tank measuring 14.3 cm×7.30 cm×72.0 cm14.3 \mathrm{~cm} \times 7.30 \mathrm{~cm} \times 72.0 \mathrm{~cm}14.3 cm×7.30 cm×72.0 cm in Kg/L\mathrm{Kg} / \mathrm{L}Kg/L.

Studdy Solution

STEP 1

STEP 2

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume.Volume=14.3 cm×7.30 cm×72.0 cmVolume =14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm}Volume=14.3 cm×7.30 cm×72.0 cm

STEP 4

Calculate the volume of the tank.Volume=14.3 cm×7.30 cm×72.0 cm=75192 cm3Volume =14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm} =75192 \mathrm{~cm}^3Volume=14.3 cm×7.30 cm×72.0 cm=75192 cm3

STEP 5

STEP 6

Calculate the volume in liters.Volume=75192 cm3×0.001 /cm3=75.192 Volume =75192 \mathrm{~cm}^3 \times0.001 \mathrm{~/cm}^3 =75.192 \mathrm{~}Volume=75192 cm3×0.001 /cm3=75.192

STEP 7

STEP 8

Calculate the mass in kilograms.Mass=4.3×103 g×0.001 Kg/g=4.3 KgMass =4.3 \times10^{3} \mathrm{~g} \times0.001 \mathrm{~Kg/g} =4.3 \mathrm{~Kg}Mass=4.3×103 g×0.001 Kg/g=4.3 Kg

STEP 9

Now that we have the mass in kilograms and the volume in liters, we can find the density of the liquid. Density is defined as mass per unit volume.Density=Mass/VolumeDensity = Mass / VolumeDensity=Mass/Volume

STEP 10

Plug in the values for the mass and the volume to calculate the density.Density=4.3 Kg/75.192 Density =4.3 \mathrm{~Kg} /75.192 \mathrm{~}Density=4.3 Kg/75.192

STEP 11

Calculate the density of the liquid.Density=4.3 Kg/75.192 =0.057Kg/LDensity =4.3 \mathrm{~Kg} /75.192 \mathrm{~} =0.057 \mathrm{Kg/L}Density=4.3 Kg/75.192 =0.057Kg/LThe density of the liquid is 0.057Kg/L0.057 \mathrm{Kg/L}0.057Kg/L.

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QuestionFind the density of a liquid weighing $4.3 \times 10^{3} \mathrm{~g}$ in a tank measuring $14.3 \mathrm{~cm} \times 7.30 \mathrm{~cm} \times 72.0 \mathrm{~cm}$ in $\mathrm{Kg} / \mathrm{L}$ .

Now, plug in the given values for the length, width, and height to calculate the volume.
$Volume =14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm}$

Calculate the volume of the tank.
$Volume =14.3 \mathrm{~cm} \times7.30 \mathrm{~cm} \times72.0 \mathrm{~cm} =75192 \mathrm{~cm}^3$

Calculate the volume in liters.
$Volume =75192 \mathrm{~cm}^3 \times0.001 \mathrm{~/cm}^3 =75.192 \mathrm{~}$

Calculate the mass in kilograms.
$Mass =4.3 \times10^{3} \mathrm{~g} \times0.001 \mathrm{~Kg/g} =4.3 \mathrm{~Kg}$

Now that we have the mass in kilograms and the volume in liters, we can find the density of the liquid. Density is defined as mass per unit volume.
$Density = Mass / Volume$

Plug in the values for the mass and the volume to calculate the density.
$Density =4.3 \mathrm{~Kg} /75.192 \mathrm{~}$

Calculate the density of the liquid.
$Density =4.3 \mathrm{~Kg} /75.192 \mathrm{~} =0.057 \mathrm{Kg/L}$ The density of the liquid is $0.057 \mathrm{Kg/L}$ .