Determining the Volume of a Glass-Stoppered Flask
How can we calculate the volume of a glass-stoppered flask?
A student obtained a clean, dry glass-stoppered flask. She weighed the flask and the stopper on an analytical balance and found the total mass to be 33.695g. She then filled the flask with water and obtained a mass of 64.365g. If the density of water was 0.9978 grams per cm³, what is the volume of the stoppered flask?
Answer:
The volume of the flask is calculated by subtracting the mass of the flask and stopper from the total mass, to get the mass of the water. The volume is then found by dividing the mass of water by the density of water, resulting in a volume of 30.74 cm³.
Explanation: To find the volume of the flask, we first need to find the mass of the water. This can be obtained by subtracting the mass of the empty flask and the stopper (33.695g) from the total mass when it's filled with water (64.365g):
Mass of water = 64.365g - 33.695g = 30.67g
Given that the density of water is 0.9978 grams/cm³, we can calculate the volume using the formula:
Volume = Mass / Density
Therefore, the volume of water, which is also the volume of the flask because it is filled up to its brim, is as follows:
Volume of the flask = Mass of water / Density of water = 30.67g / 0.9978 g/cm³ = 30.74 cm³ (correct to two decimal places).
By following this method, we can accurately determine the volume of a glass-stoppered flask filled with a liquid such as water.