By using the formula of a density, the mass of a gold that occupies the same volume as 62.9 g of cobalt is
The density of a substance is calculated using the formula
density=mass/volume
By using density and mass, find out the volume in cobalt and use the same volume to find mass of gold. Rearrange the formula of density for volume
volume=mass/density
Plug values of cobalt in the formula
volume = (62.9 g×ml/8.90 g)
volume = 7.0674 ml
Now rearrange the formula of density for mass to calculate the mass of a gold
mass=density×volume
Plug values of gold in the formula
mass = 7.0674 ml×(19.3 g/ml)
mass = 136.40 g≈136 g
Therefore, the mass of gold occupies the same volume is 136 g.
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