The mass of an empty density bottle is 24 g. Its mass is 60 g when the bottle is completely filled with water and 45 g when filled completely with an unknown liquid . Find the following :
a) volume of bottle
b) density of unknown liquid
c) Relative density of unknown liquid

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Solution

a) To find volume of bottle we have :
mass of bottle and mass of bottle + water
So mass of water = mass of bottle + water - mass of bottle = 60 - 24 = 36 g
And volume of water/bottle = $\frac{m a s s o f w a t e r}{d e n s i t y o f w a t e r}$ = $\frac{36 g}{1 g / c m^{3}}$ = 36 $c m^{3}$
b) To find density of unknown liquid we have to find its mass and volume. So mas of unknown liquid = mass of bottle + liquid - mass of bottle = 45 - 24 = 21 g
And volume of liquid = 36 $c m^{3}$
So density of liquid = $\frac{m a s s o f l i q u i d}{v o l u m e o f l i q u i d}$ = $\frac{21 g}{36 c m^{3}}$ = $\frac{7 g}{18 c m^{3}}$ = 0.58 $c m^{3}$
c) Relative density of liquid = $\frac{d e n s i t y o f l i q u i d}{d e n s i t y o f w a t e r a t 4 d e g r e e c e l c i u s}$ = $\frac{7 g / 18 c m^{3}}{1 g / c m^{3}}$ = $\frac{7}{18}$ = 0.58

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= 24.5 g

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= 56.2 g

Mass of relative density bottle filled with liquid

= 51.2 g

The relative density of a liquid is $0.5$ . The density bottle weighs $200 g$ when filled with water and $120 g$ when filled with the liquid. The mass of density bottle is:

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The mass of an empty density bottle is 24 g. Its mass is 60 g when the bottle is completely filled with water and 45 g when filled completely with an unknown liquid . Find the following : a) volume of bottleb) density of unknown liquid c) Relative density of unknown liquid

The mass of an empty density bottle is 24 g. Its mass is 60 g when the bottle is completely filled with water and 45 g when filled completely with an unknown liquid . Find the following :
a) volume of bottle
b) density of unknown liquid
c) Relative density of unknown liquid