The mass of a density bottle is 20 grams when empty to 70 grams when full of water and 55 grams when full of a second liquid x .Calculate the density of liquid ?
Well, the mass of the second liquid is 35 grams, compared to the mass of water (same volume) of 50 grams.
density water= masswater/volume or
volume=masswater/densitywater
But this is true for the second liquid also
volume=massliquid/densityliquid
setting volume=volume
massliquid/densityliquid=masswater/densitywater
or
densityliquid/densitywater=massliquid/masswater= 35/50
To calculate the density of the liquid, we need to use the following formula:
Density = Mass / Volume
However, in this case, we don't have the volume of the liquid. Fortunately, we can determine the volume by using the difference in masses between the density bottle filled with the liquid and when it's empty.
1. Calculate the volume of water:
Volume of water = Mass of water / Density of water
Given:
Mass of empty density bottle = 20 grams
Mass of density bottle filled with water = 70 grams
Mass of water = Mass of density bottle filled with water - Mass of empty density bottle
Mass of water = 70 grams - 20 grams = 50 grams
Density of water = 1 gram/cm³ (standard density of water)
Now, we can calculate the volume of water:
Volume of water = Mass of water / Density of water
Volume of water = 50 grams / 1 gram/cm³ = 50 cm³
2. Calculate the volume of the second liquid (x):
Volume of liquid x = Mass of liquid x / Density of liquid x
Given:
Mass of empty density bottle = 20 grams
Mass of density bottle filled with liquid x = 55 grams
Mass of liquid x = Mass of density bottle filled with liquid x - Mass of empty density bottle
Mass of liquid x = 55 grams - 20 grams = 35 grams
Now, we need to find the density of liquid x using the calculated volume of water and mass of liquid x:
Density of liquid x = Mass of liquid x / Volume of water
Density of liquid x = 35 grams / 50 cm³
Finally, we can substitute the values into the formula and calculate the density of the second liquid (x). The answer will be in grams per cubic centimeter (g/cm³).