Question

a quarter made predominantly of silver (density=10.5 g/mL), was determined to have a mass of 6.25g. what is the volume of the quarter?

Answer 1

Taking into account the definition of density, the volume of the quarter is 0.5952 mL.

Definition of density

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space and it 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 the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

Volume of the quarter

In this case, you know that:

• Density= 10.5 g/mL
• Mass= 6.25 g

Replacing in the definition of density:

10.5 g/mL= 6.25 g÷ volume

Solving:

10.5 g/mL× volume= 6.25 g

volume= 6.25 g÷ 10.5 g/mL

volume= 0.5952 mL

In summary, the volume of the quarter is 0.5952 mL.

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