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

Answer:

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

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

Answer 2

Answer:

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

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

$density=\frac{mass}{volume}$

$mass=density \times volume$

Calculate mass of fresh water.

$m=1600 \times 1$

$m=1600 \: g$

Calculate the mass of sea water.

$m=1200 \times 1.2$

$m=1440 \: g$

Find the density of the mixture.

$density=\frac{mass}{volume}$

$\rho = \frac{1600+1440}{1600 + 1200}$

$\rho = \frac{3040}{2800}$

$\rho= 1.0857...$