The mass of a density bottle is 20 g when empty and 40 g when filled with water, and 35 g When filled with another liquid. Calculate the relative density of the liquid.

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Solution

Step 1: Given,
Mass of the empty density bottle = $20 g .$
Mass of the density bottle when filled with water = $40 g .$
Mass of density bottle with given liquid = $35 g .$
Mass of water only = $40 - 20 = 20 g .$
Mass of liquid only = $35 - 20 = 15 g .$
Step 2: Formula used,
$R e l a t i v e d e n s i t y = \frac{M a s s o f l i q u i d \times v o l u m e o f l i q u i d}{M a s s o f w a t e r \times v o l u m e o f w a t e r} .$
Step 3: Calculation,
As volume for both will be the same.
$R e l a t i v e space d e n s i t y space equals fraction numerator M a s s space o f space l i q u i d over denominator M a s s space o f space w a t e r end fraction.$
$= \frac{15}{20} = 0.75$
Thus, the relative density of the given liquid is $0.75$

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