Question

The density of osmium, which is the densest metal, is 22.57g/cm3. What is the mass of a block of osmium that measures 1.00cm x 4.00cm x 2.50cm? Show your work.

Please help and show work thank you.

Answer 1

hey there!:

Volume :

1.00 cm * 4.00 cm * 2.50 cm => 10 cm³

Density = 22.57 g/cm³

Therefore:

Mass = density * Volume

Mass = 22.57 * 10

Mass = 225.7 g

Answer 2

225.70 grams is the mass of a block of osmium.

Step-by-step explanation:

Density of the substance is defined as mass of the substance present in a unit volume of the substance.

`Density=(Mass)/(Volume)`

Density of the metal =
`\rho =22.57 g/cm^3`

Mass of the block of an osmium metal = M

Volume of the block of an osmium metal = V

Block is in the shape of cuboid with dimension given as:

Length of the block = l = 1.0-0 cm

Breadth of the block = b = 4.00 cm

Height of the block = h = 2.50 cm

Volume of the block =
`V = l* b* h`

`\rho =(M)/(V)=(M)/( l* b* h)`

`M = \rho*  l* b* h`

`M=22.57 g/cm^3* 1.00cm* 4.00cm* 2.50 cm`

`M = 225.70 g`

225.70 grams is the mass of a block of osmium.