Question

1600cm of fresh water of density 1g/cm are mixed with 1200 cm of sea water of

density 1.2g/cm'. Determine the density of the mixture..

Answer 1

`\mathrm{1.086 \: g/cm^3 }`

Step-by-step explanation:

Volume of fresh water ⇒ 1600 cm³

Density of fresh water ⇒ 1 g/cm³

Volume of sea water ⇒ 1200 cm³

Density of sea water ⇒ 1.2 g/cm³

`density=(mass)/(volume)`

`mass=density * volume`

Calculate mass of fresh water.

`m=1600 * 1`

`m=1600 \: g`

Calculate the mass of sea water.

`m=1200 * 1.2`

`m=1440 \: g`

Find the density of the mixture.

`density=(mass)/(volume)`

`\rho = (1600+1440)/(1600 + 1200)`

`\rho = (3040)/(2800)`

`\rho= 1.0857...`

Answer 2

`\boxed{\mathrm{Density = 1.1 \ g/cm^3}}`

Step-by-step explanation:

Volume of fresh water:

Volume = Mass / Density

Volume = 1600/1

`V_(1)` = 1600 cm³

Volume of sea water:

Volume = Mass / Density

Volume = 1200/1.2

Volume = 1000 cm³

So,

Total Volume when they are mixed = 1600+1000

Total Volume when they are mixed = 2600 cm³

And,

Total Mass when they are mixed = 1600+1200

Total Mass when they are mixed = 2800 g

Now, Measuring the density of the mixture:

Density = Mass / Volume

Density = 2800/2600

Density = 1.1 g/cm³