The following procedure was used to determine the volume of...

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 $56.12 \mathrm{g}$ and $87.39 \mathrm{g}, \mathrm{re}-$ spectively, and the density of water is $0.9976 \mathrm{g} / \mathrm{cm}^{3},$ calculate the volume of the flask in $\mathrm{cm}^{3}$.

Key Concepts

Mass Difference

This concept involves finding the difference in mass between an empty container and the container filled with a substance. In volumetric measurements, the mass difference directly corresponds to the mass of the liquid added, which is crucial for determining the volume using the liquid's density.

Density

Density is the measure of mass per unit volume of a substance. It serves as a conversion factor between mass and volume. Understanding density allows one to compute the volume of a substance when its mass is known, using the relationship: volume = mass/density.

Volume Calculation

Volume calculation in this context refers to the process of determining how much space is occupied by a liquid. By dividing the mass of the liquid by its density, one can compute the volume of the liquid, which in this procedure is used to find the capacity of a container.

Unit Analysis

Unit analysis is the practice of ensuring consistency and correctness of the units used in a calculation. It is essential for verifying that the mathematical operations performed (such as division of mass by density) yield a result in the desired units, such as cubic centimeters for volume.

Transcript

00:01 Hi.

00:02 So this question is actually a pretty interesting question.

00:06 They're asking you to find the volume of a flask that was first weighed and then filled, weighed dry and then filled with water.

00:12 And they show you the mass of the of the empty flask versus the filled flask, which is 56 .12 and 87 .39, both are in grams.

00:21 And then they give you the density of water.

00:23 And then they ask you to calculate the volume of the flask in the centimeters cubed.

00:28 So let me just outline the game plan for this question.

00:31 So you have a flask that has no water, right? and then you have a flask that has water, right? has water, right? and they want you to just basically find the volume of the flask, okay? so they give you both masses here.

00:53 And basically what you can do is you can find the mass of the water, right? by subtracting the mass of the flask with water or the mask of the flask without water from the mass mass mass of the flask with water, right? if you subtract these two values and take the difference, that should be the mass of the water.

01:11 And then basically after that, you can just use the density to find the volume of the flask.

01:16 And how you can do that is by the mass density volume equation.

01:22 So that was, the original equation is mass equals density times volume.

01:26 But if you manipulate that just a little bit, you get mass over density equals volume.

01:33 Okay, so actually pretty simple but pretty interesting question allows you to think a little bit differently and manipulate some components of the equations so first we need to find what the difference in the masses of the filled flask versus the empty flask so we can find the mass of the water, right? so we're gonna just put m water equals m filled flask minus m empty right that makes sense right because the only difference in the masses of these two things is that there's water inside and if we combine the difference then we'll get the mass of the water right so mass water equals mass filled which is 87 .39 grams minus 56 .12 grams and then if you just put this in your calculators you get 87 .39 minus 56 .12 she gets you get minus 56 .12 to get 31 .39 grams...

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