A flask weights 46.8 g when it is empty and
121.6 g when filled with water. When the
same flask is filled with another liquid, the
mass is 91.2 g. What is the density of the
second liquid?
Well, it seems like the first liquid just couldn't hold its weight, huh? Anyway, let's get down to business. To find the density of the second liquid, we need to know its mass and volume.
Since the flask weighs 46.8 g when empty, we can subtract this from the mass of the second liquid-filled flask to find the mass of the liquid alone:
Mass of liquid = Mass of liquid-filled flask - Mass of empty flask
Mass of liquid = 91.2 g - 46.8 g
Mass of liquid = 44.4 g
Now, to find the volume of the liquid, we can use the fact that 1 gram of water occupies 1 milliliter:
Volume of liquid = Mass of liquid (in grams)
Therefore, the density of the second liquid is:
Density = Mass of liquid / Volume of liquid
Density = 44.4 g / 44.4 mL
So, the density of the second liquid is approximately 1 g/mL. Isn't that dense? Just like some people I know!
To find the density of a liquid, we need to use the formula:
Density = Mass / Volume
In this case, we are given the masses of the flask when it is empty, filled with water, and filled with the second liquid. However, we don't know the volume of the flask.
To find the volume of the flask, we can subtract the mass of the empty flask from the mass of the flask when it is filled with water or the second liquid. Let's calculate:
Volume of the flask with water = mass of the flask with water - mass of the empty flask
Volume of the flask with water = 121.6 g - 46.8 g
Volume of the flask with water = 74.8 g
Volume of the flask with the second liquid = mass of the flask with the second liquid - mass of the empty flask
Volume of the flask with the second liquid = 91.2 g - 46.8 g
Volume of the flask with the second liquid = 44.4 g
Now that we have the volume of the flask with the second liquid, we can find its density. Using the given mass of the flask with the second liquid, we calculate:
Density of the second liquid = Mass of the second liquid / Volume of the flask with the second liquid
Density of the second liquid = 44.4 g / 44.4 g
Density of the second liquid = 1 g/mL (or g/cm^3)
Therefore, the density of the second liquid is 1 g/mL (or g/cm^3).
To find the density of the second liquid, we need to use the formula:
Density = Mass / Volume
Since we are given the mass of the liquid, we also need to find the volume of the liquid in the flask. To do this, we need to subtract the weight of the empty flask from the weight of the filled flask, for both the water and the second liquid. Let's go step by step:
1. Calculate the weight of the water in the flask:
Weight of water = Weight of filled flask - Weight of empty flask = 121.6 g - 46.8 g = 74.8 g
2. Calculate the weight of the second liquid in the flask:
Weight of liquid = Weight of filled flask - Weight of empty flask = 91.2 g - 46.8 g = 44.4 g
Now that we have the weights for both the water and the second liquid, we can proceed to calculate their respective densities.
3. Calculate the density of the water:
Density of water = Mass of water / Volume of water
The volume of water can be obtained by dividing the mass of water by its density, which is known to be 1 g/mL. So,
Volume of water = Mass of water / Density of water = 74.8 g / 1 g/mL = 74.8 mL
Density of water = Mass of water / Volume of water = 74.8 g / 74.8 mL = 1 g/mL
4. Calculate the density of the second liquid:
Density of second liquid = Mass of liquid / Volume of liquid
In this case, we already have the mass of the liquid (44.4 g). We just need to calculate the volume of the liquid:
Volume of liquid = Mass of liquid / Density of liquid
Since we don't know the density of the second liquid yet, we can use a variable, let's say "x", to represent it.
Volume of liquid = 44.4 g / x g/mL
Now we can use the formula for density to find the value of x:
Density of liquid = Mass of liquid / Volume of liquid
x = Mass of liquid / Volume of liquid = 44.4 g / (44.4 g / x g/mL) = 1 g/mL
Therefore, the density of the second liquid is 1 g/mL.
You must first find the volume of the flask. Do that with the water.
121.6 g = mass flask + water
- 46.8 g = mass flask empty
----------
74.8 = mass water.
density of water is 1.00 g/mL; therefore,
m = volume x density
74.8 = volume x 1.00 g/mL
volume = 74.8 mL.
Then find mass of the other liquid and use mass = volume x density to solve for density of the other liquid.