Question

A shiny, gold-colored bar of metal weighing
57.3 g has a volume of 4.7 cm. Is the bar of metal
pure gold?

Answer 1

Answer: No it is not of pure gold.

Explanation:

Density is defined as the mass contained per unit volume.  It is characteristic of a material.

$Density=\frac{mass}{Volume}$

Given : Mass of gold = 57.3 grams

Volume of gold = $4.7cm^3$

Putting in the values we get:

$Density=\frac{57.3g}{4.7cm^3}$

$Density=12.19g/cm^3$

Density of pure gold = $19.3g/cm^3$

Thus as the density of the material is less as compared to density of pure gold, thus it is not pure gold.

Answer 2

• The correct answer is that the bar of metal is not pure gold

• Density can be regarded as the ratio of mass to the volume of an object

Can be written as

• Density= ( mass / volume)

• We were given mass of the gold as ( 57.3 gram)

• Volume as ( 4.7 cm3 )

If we substitute the values, we have

Density = (/$\frac{57.3}{4.7}$ )

= 12.19 g/$cm^{3}$

But a pure gold has a density of 19.3g / $cm^{3}$

Then if we compare the density we got with density of pure gold, we will see that the density is lessee than that of the pure gold.

Therefore, the material cannot be regarded as a pure gold

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