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Question

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.

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Solution

Density of water is 1 g Cm3
∴ Volume of density bottle = weight of water in grams completely filling the bottle
(a) Volume of density bottle:
Mass of empty density bottle = M1 =21.8 g
Mass of bottle + water = M2 41.8 g
∴ Mass of water completely fih1ig the density bottle = M2 — M1
=41.8 —21.8
20g
But 1 g of water has volume = 1 cc
∴ Volume of bottle (density bottle) = volume of water =20 c.c. =20 ml
(b) The relative density of liquid:
Mass of 20 c.c. of liquid = (mass of density bottle + mass of 20 c.c of liquid- mass of density bottle)
= 40.6—21.8
= 18.8 g
Mass of 20 C.C of water = 20g
Relative density of liquid
R. D equals fraction numerator m a s s space o f space 20 space c. c space o f space l i q u i d over denominator m a s s space o f space 20 space c. c space o f space w a t e r space end fraction equals fraction numerator 18.8 over denominator 20 end fraction equals 0.94

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