Question

A pure gold metal bar displaces 0.82 L of water. What is the mass in kilograms? (the density of gold is 19.3 g/cm^3)

Answer 1

Answer:

Mass of gold bar is 15.8 kg

Explanation:

The gold metal bar displaces volume of water equal to volume of metal bar.

So, volume of gold metal bar = 0.82 L

$1cm^{3}=0.001L$

We know that density is the ratio of mass to volume.

So mass of gold bar = (density of gold)$\times$(volume of gold bar) = ($19.3\times0.82\times \frac{1}{0.001}$)g =15826 g

Now, 1 g = 0.001 kg

So mass of gold bar  = ($15826\times 0.001$) kg = 15.8 kg