Calculate the volume of 125 g of the following liquids: a....

Calculate the volume of 125 g of the following liquids:
a. Acetone $(d=0.792 \mathrm{~g} / \mathrm{mL})$
b. Olive oil $(d=0.918 \mathrm{~g} / \mathrm{mL})$
c. Chloroform $(d=1.49 \mathrm{~g} / \mathrm{mL})$

Key Concepts

Density

Density is a physical property defined as the mass per unit volume of a substance. It is central to understanding how much space a given amount of mass occupies and is represented by the formula density = mass/volume, allowing one to calculate volume when the mass is known.

Mass-Volume Relationship

The mass-volume relationship explains how the mass of a substance is related to its volume through density. This relationship uses the formula volume = mass/density, which is essential for converting between mass and volume in various practical and scientific applications.

Unit Analysis and Conversion

Unit analysis is the method of verifying that units in calculations correctly cancel out, ensuring accuracy. It is particularly important in problems involving density and volume to make sure that the mass and volume units are consistent, thereby allowing correct computation of the desired quantity.

Transcript

00:01 In this problem, we're going to discuss how to manipulate the density equation, which can be found in chapter 2, section 7 of your textbook.

00:12 We're going to use this density equation, which is pictured on the right, to find other values like mass and volume.

00:22 Density is the amount of mass within a particular unit of volume.

00:28 So as you can see in this equation, density, which is going to be abbreviated by p is equal to the mass, which is abbreviated by m over volume, which is abbreviated with the capital v.

00:44 And the first two sections, a and b, they ask us to find the volume.

00:50 And all we have to do to find the volume is we just need to isolate this v.

00:59 We need to isolate this v value.

01:01 The volume.

01:04 And so we're going to do that by multiplying volume on each side and then dividing by density.

01:10 So the final answer will end up being that volume is going to be equal to our mass over our density.

01:24 And we can use this to solve the first two problems.

01:28 In the first problem, the mass is given at 1 .22 grams, and the density is given at 0 .92 grams.

01:37 So all we have to do to find the volume is we just say volume is equal to the mass 1 .22 grams over the density, which is 0 .92 grams per millimeter.

01:57 And in this, the grams are going to cancel and will be left with milliliters.

02:05 And so the answer to this question will be 1 .3 milliliters using the proper sig -figs.

02:20 For the second problem, it's very similar.

02:23 All you have to say is that our volume is equal to the mass, which is going to be 0 .2 kilings.

02:32 So, and our density is going to be three grams per milliliter.

02:38 Now the units are a little different here...

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