Question

A 4.369 g sample of metal is placed in a flask. Water is added to the flask and the total volume in the flask is read to be 126.4 ml. The mass of the water, flask, and metal is 268.5 g. If the mass of the flask is 139.3 g and the density of water is 1.000 g/mL, the density of the solid is ________ g/cm3.

Answer 1

Density of the solid=
`2.78 g/cm^3`

Step-by-step explanation:

We are given that

Mass of sample of metal=4.369 g

Volume in the flask, V=126.4 ml

Mass of water, flask, and metal=268.5 g

Mass of flask=139.3 g

Density of water=1.000 g/mL

We have to find the density of the solid.

Mass of water=268.5-4.369-139.3=124.831 g

Volume of water=
`(Mass\;of\;water)/(density\;of\;water)`

Volume of water=
`(124.831)/(1)=124.831 mL`

Volume of solid=126.4 ml-124.831 mL

=1.569mL

Now,

Density of the solid=
`(mass\;of\;solid)/(volume\;of\;solid)`

=
`(4.369)/(1.569)`

`=2.78g/mL`

1mL=1 cubic cm

Therefore,

Density of the solid=
`2.78 g/cm^3`