A relative density bottle weight 20g when empty, 80g when field with water and 100g when with a liquid. Fine the relative density of liquid.

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Science

Answer

To find the relative density of the liquid, we first need to understand what relative density is. Relative density, also known as specific gravity, is the ratio of the density of a substance to the density of a reference substance.

In this case, our reference substance is water. We know that the relative density (R.D.) of water is 1 because it is often taken as the standard for relative density calculations.

Now, let's calculate the density of the liquid:

Step 1: Calculate the density of water.
The density of a substance is calculated by dividing its mass by its volume. In this case, we know that the mass of the water-filled bottle is 80g. We can assume that the bottle is completely filled with water, so the volume of water is equal to the volume of the bottle. Let's assume the volume of the bottle is V (cubic centimeters).

Density of water (Dw) = mass of water / volume of water
= 80g / V

Step 2: Calculate the density of the liquid-filled bottle.
We know that the mass of the liquid-filled bottle is 100g. Again, we can assume that the bottle is completely filled with the liquid, so the volume of the liquid is equal to the volume of the bottle.

Density of liquid (Dl) = mass of liquid / volume of liquid
= 100g / V

Step 3: Calculate the relative density of the liquid.
Relative density (R.D.) = density of liquid / density of water
= (mass of liquid / volume of liquid) / (mass of water / volume of water)
= (100g / V) / (80g / V)
= 100g / 80g
= 1.25

Therefore, the relative density of the liquid is 1.25.