A density bottle weight 20g when empty 80g when filled with water and 100g when with a liquid. Find the relative density of the liquid
The answer
Assignment
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SOLUTION
To find the relative density of the liquid, we need to know the relative density formula. The relative density (RD) is defined as the ratio of the density of a substance to the density of a reference substance, usually water. The formula is as follows:
RD = (density of substance) / (density of reference substance)
In this case, since the density bottle is filled with water and the liquid, we will use water as the reference substance. We are given the weights of the empty density bottle, the filled bottle with water, and the filled bottle with the liquid.
1. Calculate the density of the water:
Density = mass / volume
In this case, the volume of water will be equal to the volume of the density bottle. Since the weight of the filled bottle with water is given as 80 g, we can assume that 80 g is approximately equal to the volume in milliliters (ml).
Density of water = mass of water / volume of water = 80 g / 80 ml = 1 g/ml
2. Calculate the density of the liquid:
Similarly, the density of the liquid will be the mass of the liquid divided by the volume of the liquid. The mass of the filled bottle with the liquid is given as 100 g. We know that the volume of the liquid is the same as the volume of the water, which is 80 ml.
Density of liquid = mass of liquid / volume of liquid = 100 g / 80 ml = 1.25 g/ml
3. Calculate the relative density of the liquid:
RD = (density of liquid) / (density of water) = 1.25 g/ml / 1 g/ml = 1.25
Therefore, the relative density of the liquid is 1.25.
since weight is proportional to volume, and the relative weight is
100/80 = 1.25, then ...