Question

What volume would a 200 g sample of gold have, if its density is known to be 19.3

Answer 1

Answer:

The volume that a 200 g gold sample would have is 10.36 mL.

Step-by-step explanation:

Density is defined as the property that matter, whether solid, liquid or gas, 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. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

$density=\frac{mass}{volume}$

In this case it is known that the density of gold is 19.3 g / mL. This indicates that in 1 mL there are 19.3 g. Then the following rule of three can be applied: if 19.3 g is contained in 1 mL, how much volume is 200 g of gold?

$volume=\frac{200 g*1mL}{19.3g}$

volume= 10.36 mL

The volume that a 200 g gold sample would have is 10.36 mL.