Density Knowledge-Based Download PDF

Questions

1. 1.

   For a homogeneous substance at constant temperature and pressure, what physical quantity is represented by the slope of its mass versus volume graph?

   • A) Mass
   • B) Density
   • C) Volume
   • D) Weight
2. 2.

   When pure liquid water is heated from 0 °C to 4 °C at standard atmospheric pressure, how does its density change?

   • A) It decreases because water expands continuously when heated.
   • B) It increases because the volume of water contracts over this temperature interval.
   • C) It remains constant because liquid density is independent of temperature.
   • D) It decreases initially and reaches its minimum value at 4 °C.
3. 3.

   A solid homogeneous object has a mass of 420 g and a volume of 50 cm³. Given that the densities of iron, silver, brass, and gold are 7.9 g/cm³, 10.5 g/cm³, 8.4 g/cm³, and 19.3 g/cm³, respectively, which material is the object made of?

   • A) Iron
   • B) Silver
   • C) Brass
   • D) Gold
4. 4.

   In an experiment, the total mass of a container holding a liquid is 70 g when the liquid volume is 20 cm³, and 150 g when the liquid volume is 60 cm³. What is the density of the liquid?

   • A) 0.50 g/cm³
   • B) 2.50 g/cm³
   • C) 3.50 g/cm³
   • D) 2.00 g/cm³
5. 5.

   An overflow can filled to the brim with a liquid of density 1.5 g/cm³ has an initial total mass of 450 g. If a solid object with a mass of 100 g and a volume of 40 cm³ is completely submerged in the can, causing liquid to overflow, what is the final total mass of the can and its contents?

   • A) 450 g
   • B) 510 g
   • C) 490 g
   • D) 550 g
6. 6.

   A solid alloy is produced by uniformly melting and combining 240 g of a metal with a density of 8.0 g/cm³ and 210 g of a metal with a density of 3.0 g/cm³. Assuming no change in total volume occurs upon mixing, what is the density of the resulting alloy?

   • A) 4.5 g/cm³
   • B) 5.5 g/cm³
   • C) 5.0 g/cm³
   • D) 6.0 g/cm³
7. 7.

   A solid cube made of a uniform material has a mass of 150 g. If a second solid cube made of the same material has edges twice as long as the first, what is the mass of the second cube?

   • A) 300 g
   • B) 600 g
   • C) 1200 g
   • D) 2400 g
8. 8.

   A sample of gas in a cylinder with a movable piston has a density of 1.5 g/L when occupying a volume of 4.0 L. If the gas is compressed to a volume of 2.5 L at constant temperature, what is the resulting density of the gas?

   • A) 0.94 g/L
   • B) 2.4 g/L
   • C) 3.75 g/L
   • D) 6.0 g/L
9. 9.

   Three immiscible liquids, X, Y, and Z, have densities of 0.8 g/cm³, 1.2 g/cm³, and 1.0 g/cm³, respectively. When these liquids are poured into a container and allowed to reach equilibrium, what is the order of the layers from top to bottom?

   • A) Y, Z, X
   • B) X, Y, Z
   • C) Z, X, Y
   • D) X, Z, Y
10. 10.

    A metal object made of a material with a density of 8.0 g/cm³ has an external volume of 100 cm³ and a mass of 640 g. What is the volume of the internal cavity inside the object?

    • A) 10 cm³
    • B) 20 cm³
    • C) 60 cm³
    • D) 80 cm³
11. 11.

    The density of an iron sample is 7.8 g/cm³. What is this density expressed in kilograms per cubic meter (kg/m³)?

    • A) 7800 kg/m³
    • B) 780 kg/m³
    • C) 78 kg/m³
    • D) 0.0078 kg/m³
12. 12.

    A container is completely filled with 300 g of a liquid having a density of 1.5 g/cm³. What mass of another liquid with a density of 0.8 g/cm³ is needed to completely fill the same container?

    • A) 120 g
    • B) 160 g
    • C) 240 g
    • D) 375 g
13. 13.

    Two miscible liquids with densities of 1.2 g/cm³ and 1.8 g/cm³ are mixed thoroughly in equal volumes without any net volume change. What is the density of the resulting homogeneous mixture?

    • A) 1.5 g/cm³
    • B) 1.44 g/cm³
    • C) 2.16 g/cm³
    • D) 3.0 g/cm³
14. 14.

    An empty beaker has a mass of 80 g, and its total mass increases to 120 g when 50 cm³ of an unknown liquid is added. What is the density of this liquid?

    • A) 0.8 g/cm³
    • B) 1.25 g/cm³
    • C) 1.6 g/cm³
    • D) 2.4 g/cm³
15. 15.

    When a solid metal sample with a mass of 140 g is completely submerged in a graduated cylinder containing 50 cm³ of water, the water level rises to 70 cm³. What is the density of the metal sample?

    • A) 1.2 g/cm³
    • B) 2.0 g/cm³
    • C) 2.8 g/cm³
    • D) 7.0 g/cm³
16. 16.

    Two spheres made of different materials have the same mass. If sphere X has three times the volume of sphere Y, what is the ratio of the density of sphere X to the density of sphere Y?

    • A) $1/3$
    • B) $1$
    • C) $3$
    • D) $9$
17. 17.

    When a fixed mass of a liquid expands upon heating at constant pressure, its volume increases. How does this temperature increase affect the density of the liquid?

    • A) It increases because thermal energy adds mass to the substance.
    • B) It increases because density is directly proportional to volume.
    • C) It remains unchanged because density is an intrinsic property that never varies with temperature.
    • D) It decreases because the same mass occupies a larger volume.
18. 18.

    A solid, homogeneous metal block is cut into two unequal pieces such that one piece has three times the mass of the other. Assuming uniform composition and constant temperature, what is the ratio of the density of the larger piece to the density of the smaller piece?

    • A) 3 : 1
    • B) 1 : 3
    • C) 9 : 1
    • D) 1 : 1
19. 19.

    A sample of copper has a density of 8.9 g/cm³ and a mass of 178 g. What is the volume of this sample?

    • A) 0.05 cm³
    • B) 2.0 cm³
    • C) 1584.2 cm³
    • D) 20 cm³
20. 20.

    A solid homogeneous object has a mass of 540 g and a volume of 60 cm³. What is the density of the material from which the object is made?

    • A) 0.11 g/cm³
    • B) 9.0 g/cm³
    • C) 480 g/cm³
    • D) 32,400 g/cm³