a. Calculate the mass of ethanol in 1.50 qt of ethanol. (See Table 1.5 . ) b. Calculate the mass

step 1 So this is another one of those unit conversion problems. And this, uh this problem involves a l

A. Calculate the mass of ethanol in 1.50 qt of ethanol. (See...

Key Concepts

Density

Density is a fundamental property that relates the mass of a substance to its volume through the equation mass = density × volume. It is essential for converting between volume and mass, as it provides the necessary conversion factor when the density of a substance is known.

Unit Conversion

Unit conversion is the process of converting a measurement from one set of units to another to ensure consistency in calculations. This is particularly important in problems where measurements are given in different units, such as converting quarts to liters or cubic inches to cubic centimeters before using the density value.

Dimensional Analysis

Dimensional analysis, also known as the factor-label method, is a systematic approach to use conversion factors to switch between units while ensuring the correctness and coherence of the final units in an equation. It is a key technique for solving problems that require the conversion of measurements from one system of units to another.

Transcript

00:01 So this is another one of those unit conversion problems.

00:04 And this, uh this problem involves a lot of units.

00:07 You're gonna have to go through the first chapter and find a lot of these unit conversions if you haven't used in previously and have been written down somewhere, right? so the problem to part problem the first part is having us figure out the mass of ethanol that's in 1.50 quarts of ethanol.

00:24 Um, you're gonna have to go to the table in the first chapter to have 1.5 and get the density of ethanol, which is in cubic centimeters as the volume.

00:33 Um, and our initial volume is in courts, right.

00:37 So we're gonna have to figure out how to go from quartz two cubic centimeters.

00:41 And the way that we're going to do that is through the leader and millie leader.

00:46 Right.

00:46 So, um, in previous videos, i had shown that one millie leader is equal to one cubic centimeter.

00:53 That's also in one of the first pages of your textbook in 1.3, the unit of measurements section of the first chapter.

01:01 So on and then using one of the prefix is that you had learns on that.

01:05 Same in that same chapter in that same section.

01:08 You know that one leader is equal to 1000 milliliters.

01:13 Um, and i'm gonna show that math in a second so we can start the problem by starting with 1.50 quartz.

01:21 Right? and we're gonna use the quartz toe leader conversion factor.

01:26 So one leader is equal to 1.6 quarts.

01:31 And i noticed that the textbook likes to set when you were going.

01:34 When you're hopping from units a unit in the dimensional analysis, they just string all these along.

01:39 They don't solve them individually.

01:41 So i'm gonna do the same thing here just for the sake of time.

01:43 Right? um so, uh, now we have leaders, we have leaders, and we're gonna go to middle leaders.

01:51 Right? so one millimeter is equal to the prefix for millie is 10 to the minus.

01:56 Third, um, leader.

01:59 Right.

02:00 So your leaders will cancel out now, we're gonna go from milliliters.

02:03 Two cubic centimeters, which is kind of arbitrary because they're both won.

02:07 That's fine.

02:09 No leaders will cancel out, and then we're gonna use the density which is 0.789 grams of ethanol for one cubic centimeter.

02:19 So now our answer should be in grams of ethanol...

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