An irregularly shaped rock is placed in 50 mL of water. The new reading in the container is now 74.2 mL. If the mass of the rock is 88.53 g, what is the density of the rock

Sagot :

Taking into account the definition of density, the density of the rock is 3.6583 g/mL.

Definition of density

Density is defined as the property that matter has to compress into a given space.

In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

The expression for the calculation of density is:

density= mass÷ volume

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Density of the rock

In this case, you know that:

  • Mass= 88.53 g
  • Volume of the rock= Volume after place the rock in the water - Volume of water= 74.2 mL - 50 mL= 24.2 mL

Replacing in the definition of density:

density of rock= 88.53 g÷ 24.2 mL

Solving:

density of rock= 3.6583 g/mL

In summary, the density of the rock is 3.6583 g/mL.

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