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, m_b = 25.25 g

When bottle is filled with water, the mass of bottle is, m_bw = 55.75 g

Thus, mass of water, m_w = 55.75 - 25.25 g = 30.5 g

When filled with alcohol, mass of the bottle is, m_ba = 45.50 g

Thus, mass of alcohol, m_a = 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, v_w = m_w / 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

ICSE Class 8 Answered

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