a cold drink bottle of 500 ml weight 25g .when a liquid is filled in it ,it weight 80g .find the density of liquid .
To find the density of the liquid, we need to use the formula:
Density = Mass / Volume
Given that the initial weight of the empty bottle is 25g and the weight of the bottle with the liquid is 80g, we can conclude that the weight of the liquid alone is:
Weight of liquid = Weight with liquid - Weight without liquid
Weight of liquid = 80g - 25g
Weight of liquid = 55g
Now, we need to find the volume of the liquid. Since the bottle has a capacity of 500 ml (milliliters), we can assume that the volume of the liquid is also 500 ml.
Converting the volume to liters:
Volume = 500 ml = 500/1000 L
Volume = 0.5 L
Plugging the values into the density formula:
Density = Mass / Volume
Density = 55g / 0.5 L
Considering the units, the density of the liquid is:
Density = 110 g/L
To find the density of the liquid, we need to use the formula:
Density = Mass / Volume
Now, let's break down the given information:
The empty cold drink bottle weighs 25g, and when filled with liquid, it weighs 80g. The difference in weight is due to the liquid filled in the bottle.
So, the mass of the liquid is the difference between the filled and empty bottle:
Mass of the liquid = Mass of the filled bottle - Mass of the empty bottle
= 80g - 25g
= 55g
Now, we need the volume of the liquid. Given that the total volume of the cold drink bottle is 500 ml, we can assume that the volume of the liquid filled will be the same.
Therefore, the Volume of the liquid = 500 ml
However, to find the density, we need the volume in grams. 1 ml of water is equivalent to 1 gram. So, we now have the volume in grams.
Using the formula for density: Density = Mass / Volume
Density = 55 grams / 500 grams (we use grams for volume)
= 0.11 g/ml
Therefore, the density of the liquid is 0.11 g/ml.