An empty density bottle has a mass of 15g. When full of alcohol of density 0.8g/cm3, its mass is 47g. Calculate:-
i) The volume of the bottle.
ii) Its mass when full of water.
iii) It mass when full of mercury of density 13.6g/cm3
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Solution:
Density of water = 1 g cm³
(a) Volume of density bottle
Mass of empty density bottle = M1 = 21.8g
Mass of bottle + water = M2 = 41.8g
So, mass of water completely filling the density bottle = M2-M1
= 41.8 - 21.8 = 20g
1g of water has volume =cc
So, Volume of bottle = volume of water = 20cc = 20ml
(b) The relative density of liquid
Mass of 20 cc of liquid
= (mass of density bottle + mass of 20cc of liquid) - mass of density bottle
= 40.6 - 21.8
= 18.8 g
Mass of 20 cc of water = 20g
Relative density of liquid
R.D = \frac{Mass\ of\ 20\ cc\ of\ liquid}{Mass\ of\ 20\ cc\ of\ water}=\frac{18.8}{20}=0.94\
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