Question

The density of gold is 19.3 g/cm3 and the density of lead is 11.4 g/cm3. If you have 5 grams of gold and 5 grams of lead, which will have the greater volume?

Answer 1

Given :

The density of gold is $19.3 \ g/cm^3$ and the density of lead is $11.4\ g/cm^3$ respectively .

To Find :

Which have greater volume .

Solution :

We know , density is given by :

$\rho=\dfrac{mass}{volume}$

Now , volume of 5 gm gold .

$Volume=\dfrac{mass}{\rho}\\\\Volume =\dfrac{5}{19.3}\ cm^3\\\\Volume =0.26\ cm^3$

Also , volume of 5 gm lead .

$Volume=\dfrac{mass}{\rho}\\\\Volume =\dfrac{5}{11.4}\ cm^3\\\\Volume =0.44\ cm^3$

Therefore , volume of lead will be greater than gold.

Hence , this is the required solution .