Make the indicated pressure conversions. a. 45.2 kPa to atmospheres b. 755 mm Hg to atmospheres

Make the indicated pressure conversions. a. 45.2 kPa to...

Key Concepts

Pressure Units

Pressure is the force exerted per unit area and can be measured using various units, such as atmospheres (atm), kilopascals (kPa), torr, and millimeters of mercury (mm Hg). Understanding these different units is essential because they are used in different contexts and have specific conversion factors relating them.

Conversion Factors

Conversion factors are numerical relationships that relate one unit of measurement to another. In pressure conversions, common conversion factors include 1 atm being equivalent to 101.325 kPa and to 760 torr or 760 mm Hg. These factors allow for the systematic conversion of pressure values between different measurement systems.

Dimensional Analysis

Dimensional analysis is a technique used to convert one type of unit to another through the multiplication by conversion factors. It ensures that the final answer is in the desired unit by canceling the original units out, thereby maintaining the consistency of the calculation process.

Transcript

00:01 So today we're going to be talking about pressure conversions and how to do them.

00:04 And so to do our pressure conversions, we're going to do dimensional analysis.

00:07 Now, in order to do dimensional analysis, the important thing is to make sure that all of our units cancel and that everything that we put on top of each other is true.

00:15 So to start off doing this, let's just look at the first part of our problem here.

00:18 And so we're going to take 45 .2 kilopascals and try to go to atmospheres.

00:23 So i'll start out with my dimensional analysis here.

00:27 So i just have my 45 .2 kilopascals because that's, that's my starting units.

00:33 And so i want to get to where everything else cancels and atmospheres is left on top.

00:38 So to start with, i'm just going to do my metric conversions.

00:42 And so since it's kila, we know that in one killa pascal, there are 1 ,000 pascals.

00:50 And so that's just from my prefixes from the metric unit.

00:52 So kila is 1 ,000.

00:54 And then from there, from the definition of pascal, we know that there are 100 ,000 pascal's in one bar.

01:04 And so you'll notice as i start to put these on here, that i always make sure that whatever is on the top has the same thing on the bottom.

01:12 So over here, my kilopascals cancels with killus pascales on the bottom.

01:16 And then my pascal's here cancels with pascal's on the bottom.

01:19 But now i'm to bars, and i really need to beat at atmospheres.

01:22 So one other conversion factor that i know is that there are 1 .01 bars in one atmosphere.

01:35 And so now i have my bar cancel.

01:37 And so now i'm only left with atmospheres.

01:39 Everything else is canceled and it's on the top.

01:41 So that's good.

01:42 So i just go through and multiply all of these numbers.

01:44 So i have my 45 .2 times 1 ,000 and then divided by 100 ,000 and then divided by 1 .01.

01:51 And so if i do that math, it comes out to be 0 .446 atmospheres.

01:59 And then i remember to round to my figs that i had to start with.

02:03 So i had three over here in 45 .2, have three over here in 0 .446.

02:09 Now i'm going to go on to my 755 millimeters mercury to atmospheres.

02:14 And so i'm going to do the same thing...

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