a relative density of weighs 30g when empty,70g when filled with water,and 100g when filled with a liquid, find the;
a. relative density of the liquid
b. density of the liquid
To find the relative density (also known as specific gravity) of the liquid, we need to compare its density to the density of water, which is the standard reference. The density of water is 1 g/mL.
a. Relative density of the liquid:
First, we need to determine the density of the relative density bottle itself, which is the empty weight divided by the weight of water displaced when it's filled.
Density of the relative density bottle:
Weight when empty = 30g
Weight when filled with water = 70g
Weight of water displaced = Weight when filled with water - Weight when empty
= 70g - 30g
= 40g
Density of the relative density bottle = Weight when empty / Weight of water displaced
= 30g / 40g
= 0.75g/mL
Now, let's find the relative density of the liquid:
Weight when filled with liquid = 100g
Weight of liquid displaced = Weight when filled with liquid - Weight when empty
= 100g - 30g
= 70g
Relative density of the liquid = (Weight of liquid displaced / Weight of water displaced) × Density of water
= (70g / 40g) × 1g/mL
= 1.75 g/mL
b. Density of the liquid:
Density of the liquid = Relative density of the liquid × Density of water
= 1.75 g/mL × 1 g/mL
= 1.75 g/mL
So, the relative density of the liquid is 1.75 and the density of the liquid is 1.75 g/mL.