An empty relative density bottle weighs 26.4 g. When fully filled with water its weight is 38.4 g, when filled with another liquid its weight is 35.4 g Find the relative density of the liquid.

0.25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.75

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0.15

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 0.75
Mass of empty R.D bottle = 26.4 gm
Mass of R.D bottle + water = 38.4 gm
Mass of R.D bottle + liquid = 35.4 gm
mass of only water = 38.4 -26.4 = 12 gm
Volume of 1 g of water = 1 $c m^{3}$
$∴$ Volume of 12 g of water = 12 $c m^{3}$
Mass of only liquid = 35.4 - 26.4 = 9 gm
Volume of the liquid = 12 $c m^{3}$
$∴$ Density of liquid = $\frac{M a s s o f l i q u i d}{V o l . o f l i q u i d} = \frac{9 g}{12 c m^{3}} = 0.75 g / c m^{3}$
R.D of the liquid = $\frac{D e n s i t y o f l i q u i d}{D e n s i t y o f w a t e r} = \frac{0.75 g / c m^{3}}{1.00 g / c m^{3}} = 0.75$

Suggest Corrections

Similar questions

The mass of an empty density bottle is 21.8 when filled completely with water it is 41.8 g and when filled completely with liquid it 40.6 g . Find :

(a) the volume of density bottle.

(b)the relative density of liquid.

Q. An empty density bottle of weight 30 g, when filled completely with water weighs 62 g. When filled completely with another liquid the weight is 54 g

Calculate -

(a) The volume of density bottle

(b) The density of the liquid

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:

Q. An empty density bottle of 30 g, when filled completely with water, weighs 62 g. When filled completely with another liquid, its mass is 54 g. Calculate the density of the liquid.

A density bottle weighs 20.25g when empty, 40.75g when filled with a liquid and 50.25g when filled with water. Find (a) Volume of the bottle ; (b) Density of the liquid.

Join BYJU'S Learning Program