Perform the following unit conversions. a. 908 oz to kilograms b. 12.8 L to gallons c. 125 mL

step 1 all right. More unit conversions. So, uh, we have six unit conversions for masses and volumes, a

Perform the following unit conversions. a. 908 oz to...

Key Concepts

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. This process relies on the established equivalences between units, whether within the same measurement system (such as converting between liters and milliliters) or between different systems (such as metric to imperial).

Conversion Factor

A conversion factor is a ratio that expresses how many of one unit are equal to another unit. These factors are used as multipliers that allow you to cancel out the original units and obtain the desired unit, ensuring that the value of the measurement remains consistent during conversion.

Dimensional Analysis

Dimensional analysis is a problem-solving technique that uses conversion factors to systematically convert between units. By setting up factors so that unwanted units cancel out, this method confirms that the result is in the proper unit and helps prevent errors in the conversion process.

Measurement Systems

Different measurement systems, like the metric and imperial systems, provide standardized units for quantities such as mass and volume. Understanding the relationships between these systems is critical when performing conversions across different types of units, such as converting ounces to kilograms or liters to gallons.

Transcript

0:00 All right.

00:01 More unit conversions.

00:02 So, uh, we have six unit conversions for masses and volumes, and we're gonna get started.

00:09 So i got all of these from the chapter.

00:12 There is an appendix in the very back in a textbook that has additional unit conversions.

00:16 That might make things a little faster, but these were stripped from the chapter.

00:19 So, um, you might be able to do them in faster steps, but i just wanna do them written out for the practice.

00:25 Right.

00:25 So, um, 908 ounces.

00:28 That's three significant figures.

00:29 Keep that mind for the answer.

00:31 Um, so we're gonna convert that two pounds first.

00:35 So we're going to go from, uh, one pounds is equal to 16 ounces where the cancel our ounces out, and then we can go straight to kilograms by cancelling out our pounds.

00:50 So pounds cancel out ounces.

00:53 Cancel out, grounding her answer to three significant figures.

00:57 We're going to get 25.7 pill grams part too.

01:04 Right? so we're gonna go 12.8 leaders times.

01:10 We can go from leaders to quartz using 1.6 in table 1.4 in the textbook.

01:18 So we're going to go to 1.6 quarts over one leader, and then we can go from courts.

01:25 Two gallons.

01:26 So one gallon is equal to four quarts.

01:30 Four courts cancel out.

01:32 Leaders, cancel out rounding her answer again.

01:35 23 significant figures gets us 3.39 gallons.

01:44 All right, part.