Question

the mass of an empty density bottle is 21.8gm, when filled completely with water it is 41.8g, and when filled completely with liquid it is 40.6g find the volume of density bottle and the relative density of liquid​

Answer 1

Answer:

The volume of density bottle = 20 $cm^{3}$

The relative density of liquid = 0.94

Explanation:

The mass of empty density bottle = 21.8 g

The mass of density bottle + water = 41.8 g

The mass of density bottle + liquid = 40.6 g

The mass of water = (41.8-21.8) g = 20 g

Now, ∵ the density of water is 1g/$cm^{3}$, mass is 20 g

∴ Density =  $\frac{Mass}{Volume}$ ⇒ Volume =  $\frac{Mass}{Density}$

                                                  = $\frac{20}{1}$ = 20 $cm^{3}$

Now, Volume of the density bottle = Volume of water it can store

                                                        = 20 $cm^{3}$

Now, the mass of liquid only = (40.6 - 21.8) g = 18.8 g

Volume of liquid = Volume of the density bottle = 20 $cm^{3}$

Now, Density =  $\frac{Mass}{Volume}$ =  $\frac{18.8}{20}$ g/$cm^{3}$ = 0.94 g/$cm^{3}$

∴ Relative Density = Density of liquid / Density of water at 4degree c

                              = 0.94/1 = 0.94