Density Knowledge-Based Practice

Questions

1. 1.

   When 60 g of a solid is completely dissolved in 180 g of a liquid without changing the liquid's volume, the density of the resulting solution is $1.20\text{ g/cm}^3$. What is the density of the original liquid?

   • A) $0.75\text{ g/cm}^3$
   • B) $0.80\text{ g/cm}^3$
   • C) $0.85\text{ g/cm}^3$
   • D) $0.90\text{ g/cm}^3$
2. 2.

   Two miscible liquids, X and Y, have densities of $3d$ and $d$, respectively. A homogeneous mixture is prepared by combining liquid X and liquid Y such that the mass of liquid X is twice the mass of liquid Y. Assuming the total volume is conserved, what is the density of the resulting mixture?

   • A) $1.2d$
   • B) $1.5d$
   • C) $2.0d$
   • D) $1.8d$
3. 3.

   A container is filled with 500 cm³ of a homogeneous liquid having a mass of 400 g. If 200 cm³ of this liquid is poured out at constant temperature, what are the mass and the density of the remaining liquid?

   • A) 240 g and 0.80 g/cm³
   • B) 240 g and 0.48 g/cm³
   • C) 160 g and 0.80 g/cm³
   • D) 160 g and 0.53 g/cm³
4. 4.

   A solid homogeneous cube with an edge length of 5 cm has a mass of 750 g. If a cavity with a volume of 25 cm³ is hollowed out inside the cube and completely filled with a material having a density of 4.0 g/cm³, what is the final mass of the composite object?

   • A) 600 g
   • B) 650 g
   • C) 700 g
   • D) 850 g
5. 5.

   When a container is completely filled with a liquid of density 0.90 g/cm³, the total mass is 260 g, and when completely filled with a liquid of density 1.20 g/cm³, the total mass is 320 g. What is the mass of the empty container?

   • A) 60 g
   • B) 70 g
   • C) 80 g
   • D) 100 g
6. 6.

   A sample of liquid X has a density of 2.5 g/cm³ and a volume of 120 cm³. What volume of liquid Y, with a density of 1.5 g/cm³, has the same mass as the sample of liquid X?

   • A) 72 cm³
   • B) 150 cm³
   • C) 200 cm³
   • D) 250 cm³
7. 7.

   A storage tank with an interior volume of $4.5\text{ m}^3$ is completely filled with a liquid fuel having a density of $0.80\text{ g/cm}^3$. What is the total mass of the fuel in kilograms?

   • A) 360 kg
   • B) 1800 kg
   • C) 3600 kg
   • D) 5625 kg
8. 8.

   Equal masses of two miscible liquids with densities of $1.5\text{ g/cm}^3$ and $3.0\text{ g/cm}^3$ are mixed thoroughly. Assuming that the total volume of the mixture equals the sum of the volumes of the two liquids, what is the density of the resulting mixture?

   • A) $1.8\text{ g/cm}^3$
   • B) $2.0\text{ g/cm}^3$
   • C) $2.25\text{ g/cm}^3$
   • D) $2.5\text{ g/cm}^3$
9. 9.

   A solid metal wire has a length of 40 m, a uniform cross-sectional area of $1.5\text{ mm}^2$, and a mass of 534 g. What is the density of the metal?

   • A) $8.9\text{ g/cm}^3$
   • B) $0.89\text{ g/cm}^3$
   • C) $4.45\text{ g/cm}^3$
   • D) $890\text{ g/cm}^3$
10. 10.

    A solid alloy with a total mass of 620 g and a volume of 100 cm³ is composed entirely of metal X with a density of 5.0 g/cm³ and metal Y with a density of 9.0 g/cm³. Assuming the volume of the alloy is equal to the sum of the volumes of the two metals, what is the mass of metal X in the alloy?

    • A) 270 g
    • B) 350 g
    • C) 310 g
    • D) 450 g
11. 11.

    Two solid spheres, X and Y, are made of the same homogeneous material. If sphere Y has twice the radius of sphere X, and sphere X has a mass of $m$ and a density of $d$, what are the mass and density of sphere Y?

    • A) Mass is $4m$, and density is $d$.
    • B) Mass is $4m$, and density is $8d$.
    • C) Mass is $8m$, and density is $8d$.
    • D) Mass is $8m$, and density is $d$.
12. 12.

    A liquid sample has a density of $1.20\text{ g/cm}^3$. When the liquid is heated, its volume increases by 20% while its mass remains constant. What is the new density of the liquid?

    • A) $0.90\text{ g/cm}^3$
    • B) $0.96\text{ g/cm}^3$
    • C) $1.00\text{ g/cm}^3$
    • D) $1.44\text{ g/cm}^3$
13. 13.

    A container completely filled with water has a total mass of 500 g. When a solid object with a mass of 180 g is gently submerged into the container, some water overflows, and the new total mass becomes 620 g. Given that the density of water is $1.0\text{ g/cm}^3$, what is the density of the submerged object?

    • A) $1.5\text{ g/cm}^3$
    • B) $2.0\text{ g/cm}^3$
    • C) $2.5\text{ g/cm}^3$
    • D) $3.0\text{ g/cm}^3$
14. 14.

    A hollow object made of a metal with a density of 5.0 g/cm³ has an outer volume of 150 cm³ and a mass of 500 g. What is the volume of its internal cavity?

    • A) 30 cm³
    • B) 40 cm³
    • C) 50 cm³
    • D) 100 cm³
15. 15.

    Two solid cylinders, X and Y, have equal masses. If the radius of cylinder X is twice that of cylinder Y and its height is half that of cylinder Y, what is the ratio of their densities, $\frac{d_X}{d_Y}$?

    • A) 4
    • B) 2
    • C) $\frac{1}{2}$
    • D) $\frac{1}{4}$
16. 16.

    A mixture is formed by combining 300 cm³ of a liquid having a density of 0.80 g/cm³ with 200 cm³ of a liquid having a density of 1.30 g/cm³. Assuming the total volume is conserved upon mixing, what is the density of the resulting mixture?

    • A) 1.00 g/cm³
    • B) 1.05 g/cm³
    • C) 1.10 g/cm³
    • D) 0.95 g/cm³
17. 17.

    An empty flask with a mass of 120 g has a total mass of 360 g when completely filled with an unknown liquid of density 0.80 g/cm³. What is the volume capacity of the flask?

    • A) 150 cm³
    • B) 240 cm³
    • C) 300 cm³
    • D) 450 cm³
18. 18.

    A solid metal sample with a mass of 81 g is placed into a graduated cylinder containing 45 mL of water, causing the water level to rise to 75 mL. What is the density of the metal sample?

    • A) 2.7 g/mL
    • B) 1.08 g/mL
    • C) 1.80 g/mL
    • D) 0.37 g/mL
19. 19.

    A solid rectangular block made of a homogeneous material has a mass of 360 g and dimensions of 4 cm, 5 cm, and 6 cm. What is the density of the material?

    • A) 0.33 g/cm³
    • B) 1.5 g/cm³
    • C) 3.0 g/cm³
    • D) 12.0 g/cm³

Answers and step-by-step solutions appear after you finish the test.