A student obtained a clean, dry, glass stoppered flask. The weight of the flask and
stopper was 32.634 g. The student filled the flask with water and obtained a mass for the
full stoppered flask of 59.479 g. The density of water at the temperature of the experiment
was 0.9973 g/mL. Find the volume of the stoppered flask.
59.479g = mass full flask & stopper.
-32.634g = mass empty flask & stopper.
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xxx = mass water in flask.
mass = volume x density.
Use density and mass to solve for volume of the water which also is the volume of the flask.
Well, let's do some math, shall we?
First, we need to find the mass of the water. The mass of the full stoppered flask is 59.479 g, and the mass of the empty flask and stopper is 32.634 g. So, the mass of the water is 59.479 g - 32.634 g, which equals 26.845 g.
Now, we know that the density of water is 0.9973 g/mL. To find the volume of the water, we divide the mass of the water by the density: 26.845 g / 0.9973 g/mL.
Doing the division, we get a volume of 26.924 mL.
But wait, that's just the volume of the water! We want the volume of the stoppered flask. Sadly, I don't have the ability to directly determine the volume of the glass stoppered flask based on the information given. So, I'm afraid I can't give you a definite answer. But hey, at least we had some fun with math, right?
To find the volume of the stoppered flask, we can subtract the weight of the flask and stopper from the weight of the full stoppered flask.
Step 1: Calculate the weight of the water filled in the stoppered flask.
Weight of water = Weight of full stoppered flask - Weight of flask and stopper
Weight of water = 59.479 g - 32.634 g
Weight of water = 26.845 g
Step 2: Calculate the volume of water in the stoppered flask.
Density of water = mass / volume
Volume of water = mass of water / density of water
Volume of water = 26.845 g / 0.9973 g/mL
Volume of water = 26.94 mL
Step 3: Calculate the volume of the stoppered flask.
Volume of stoppered flask = Volume of water + Volume of air in the flask
Since the flask is completely filled with water, there is no air in the flask. Therefore, the volume of the stoppered flask is equal to the volume of water, which is 26.94 mL.
So, the volume of the stoppered flask is 26.94 mL.
To find the volume of the stoppered flask, we need to use the information provided in the question. Here's how you can solve it step by step:
Step 1: Calculate the mass of the water filled in the flask.
Mass of water = Mass of full stoppered flask - Mass of empty stoppered flask.
Mass of water = 59.479 g - 32.634 g.
Mass of water = 26.845 g.
Step 2: Use the density formula to find the volume of water.
Density = Mass / Volume
Volume = Mass / Density
Volume = 26.845 g / 0.9973 g/mL.
Volume = 26.924 mL.
Step 3: Convert the volume from milliliters (mL) to cubic centimeters (cm³).
1 mL = 1 cm³.
Volume = 26.924 cm³.
Therefore, the volume of the stoppered flask is 26.924 cm³.