A student obtained a clean, dry glass- stoppered flask. She weighed the flask and stopper on an analytical balance and found the total mass to be 33.695 g. She then filled the flask with water and obtained a mass for the full stoppered flask of 64.356 g. From these data, and the fact that at the temperature of the laboratory the density of water was 0.9978 g/ cm3, find the volume of the stoppered flask.
30.728
To find the volume of the stoppered flask, we can use the following steps:
Step 1: Calculate the mass of the flask alone.
Mass of the flask = Total mass of the flask and stopper - Mass of the stopper
Mass of the flask = 33.695 g - Mass of the stopper (unknown)
Let's denote the mass of the stopper as "m" for simplicity.
Step 2: Calculate the mass of water in the filled flask.
Mass of water = Mass of the full stoppered flask - Mass of the flask alone
Mass of water = 64.356 g - (33.695 g - m)
Mass of water = 30.661 g + m
Step 3: Calculate the volume of water using the density of water.
Volume of water = Mass of water / Density of water
Volume of water = (30.661 g + m) / 0.9978 g/cm³
Step 4: Calculate the volume of the stoppered flask.
Volume of stoppered flask = Volume of water
Therefore, the volume of the stoppered flask is given by:
Volume of stoppered flask = (30.661 g + m) / 0.9978 g/cm³
To find the volume of the stoppered flask, we need to subtract the mass of the flask (when empty) from the mass of the full stoppered flask. Then, we divide this mass difference by the density of water.
Here are the steps to calculate the volume of the stoppered flask:
1. Calculate the mass of the empty flask:
Mass of the empty flask = Total mass - Mass of water
Mass of the empty flask = 33.695 g - 64.356 g
Mass of the empty flask = -30.661 g
2. Now, we know that the density of water is 0.9978 g/cm3. So, we can use the formula:
Volume = Mass / Density
Volume of the stoppered flask = Mass of the empty flask / Density of water
Volume of the stoppered flask = -30.661 g / 0.9978 g/cm3
3. Calculate the volume of the stoppered flask:
Volume of the stoppered flask = -30.797 cm3
It seems that there might be a mistake in the data provided since the volume cannot be negative. Please double-check the given information or calculations to ensure accuracy.