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ICSE Class 8 Answered

An empty RD bottle has a mass of 25.25 g. When filled with water, the bottle has a mass of 55.75 g. and 45.50 g when filled with alcohol. Find the volume of bottle and the RD of alcohol. Also find the density of alcohol.

Asked by sarojpullak | 17 Apr, 2020, 05:35: PM
Expert Answer
Mass of empty bottle, mb = 25.25 g 
 
When bottle is filled with water, the mass of bottle is, mbw = 55.75 g 
 
Thus, mass of water, mw = 55.75 - 25.25 g = 30.5 g 
 
When filled with alcohol, mass of the bottle is, mba = 45.50 g 
 
Thus, mass of alcohol, ma = 45.50 - 25.25 = 20.25 g 
 
Volume of bottle = volume occupied by water
 
We know, 
density =  mass/ volume 
 
density of water = 1 g/cm3 
 
mass of water = 30.5 g 
Thus, volume of water, vw = mw / 1 = 30.5 cm3 
Hence, 
volume of bottle =  30.5 cm3 
volume occupied by water = voulme occupied by alcohol = 30.5 cm3 
 
R e l a t i v e space d e n s i t y space o f space a l c o h o l space equals fraction numerator d e n s i t y space o f space a l c o h o l over denominator d e n s i t y space o f space w a t e r end fraction equals fraction numerator begin display style bevelled fraction numerator m a s s space o f space a l c o h o l space over denominator v o l u m e space o f space a l c o h o l end fraction end style over denominator begin display style bevelled fraction numerator m a s s space o f space w a t e r over denominator v o l u m e space o f space w a t e r end fraction end style end fraction space equals space fraction numerator m a s s space o f space a l c o h o l over denominator m a s s space o f space w a t e r end fraction
equals space m subscript a over m subscript w space... space left parenthesis because v subscript w equals space v subscript a right parenthesis
equals space fraction numerator 20.25 over denominator 30.5 end fraction space equals space 0.663 space almost equal to space 0.7 
 
density of alcohol = mass of alcohol/ volume of alcohol = 20.25/30.5 = 0.66 g/cm3 = 0.7 g/cm3 
Answered by Shiwani Sawant | 17 Apr, 2020, 07:22: PM
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