126k views
3 votes
The following procedure was used to determine the volume of a flask. The flask was weighed dry and then filled with water. If the masses of the empty flask and filled flask were 45.72 g and 1.24 g, respectively, and the density of water is 0.9976 g/cm³, calculate the volume of the flask in cm³.

a) 44.48 cm³
b) 50.06 cm³
c) 46.48 cm³
d) 48.52 cm³

1 Answer

3 votes

Final answer:

To calculate the volume of the flask, the mass of the water (difference between the mass of the filled and the empty flask) is divided by the density of water. However, there seems to be a typo in the question, as the filled flask's mass is likely incorrect, leading to an answer not listed in the options.

Step-by-step explanation:

The student is tasked with calculating the volume of a flask using mass measurements before and after it was filled with water, as well as the known density of water.

To find the volume of the flask, we can use the formula: Volume = Mass / Density. The mass of the water in the flask is found by subtracting the mass of the empty flask from the mass of the filled flask. So:

  • Mass of the empty flask = 45.72 g
  • Mass of the filled flask = 124 g
  • Mass of the water = Mass of the filled flask - Mass of the empty flask = 124 g - 45.72 g = 78.28 g

Now, we use the density of water to find the volume:

  • Density of water = 0.9976 g/cm³
  • Volume of water (and thus the flask) = Mass of the water / Density of water = 78.28 g / 0.9976 g/cm³ ≈ 78.45 cm³

It seems there is either a typo or a mistake in the mass of the filled flask. Assuming it was meant to be 124 g instead of 1.24 g, the answer would be approximately 78.45 cm³, which is not listed as an option. Therefore, there seems to be an error in the provided data.

User Dmo
by
6.5k points