An empty relative bottle weighs 25g.it weighs 65g when filled with liquid and 75g when filled with water .calculate the density of the liquid.Take density of the water to be 1000kg
so 40g of liquid occupy the same volume as 50g of water
looks like the liquid is 5/6 as dense as water
did I really type 5/6?
Clearly, 4/5
To calculate the density of the liquid, we need to understand the definition of density. Density is the mass of a substance per unit volume. In other words, it tells us how much mass is packed into a given volume.
In this case, we are given the weights of the empty bottle, the bottle filled with liquid, and the bottle filled with water.
Step 1: Find the mass of the liquid
To find the mass of the liquid, we subtract the weight of the empty bottle from the weight of the bottle filled with liquid:
Mass of the liquid = Weight of the bottle filled with liquid - Weight of the empty bottle
= 65g - 25g
= 40g
Step 2: Find the volume of the liquid
To find the volume of the liquid, we need to know its density. The density of water is given as 1000kg/m^3 (kilograms per cubic meter).
First, we need to convert the density of water from kg/m^3 to g/cm^3 (grams per cubic centimeter) since the given weights are in grams:
Density of water = 1000kg/m^3 = 1000g/1000cm^3 = 1g/cm^3
Assuming that the density of the liquid is the same as the density of water, we can use this value to find the volume of the liquid:
Volume of the liquid = Mass of the liquid / Density of the liquid
= 40g / 1g/cm^3
= 40 cm^3
Step 3: Calculate the density of the liquid
The density of a substance is given by the formula:
Density = Mass / Volume
Using the mass of the liquid and the volume we calculated earlier, we can now find the density of the liquid:
Density of the liquid = Mass of the liquid / Volume of the liquid
= 40g / 40 cm^3
= 1 g/cm^3
Therefore, the density of the liquid is 1 g/cm^3.