Write expressions that could be used to form conversion...

Write expressions that could be used to form conversion factors to convert between: (a) kilopascal and atm,
(b) torr and $\mathrm{mm} \mathrm{Hg}$,
(c) bar and pascal,
(d) torr and
atm,
(e) torr and pascal, (f) bar and atm.

Key Concepts

Pressure Units

Pressure is a measure of force per unit area and is expressed in various units like kilopascal, atm, torr, mm Hg, bar, and pascal. Understanding the relationships and equivalences between these units is essential for accurate conversion in scientific and engineering applications.

Unit Cancellation

This concept involves simplifying expressions by canceling out common units in the numerator and denominator. It is an integral part of dimensional analysis that ensures after conversion, the final units are as intended, confirming the correctness of the conversion process.

Dimensional Analysis

A systematic method used to convert one set of units to another by multiplying by conversion factors. This process relies on the fact that the conversion factors are equivalent to one, so the numerical value remains unchanged while the units cancel and change appropriately.

Conversion Factors

These are ratios that express the equality between two different units of measurement. By setting up the factors properly, one can ensure that units cancel correctly, facilitating the conversion of quantities from one unit system to another without altering the actual value.

Transcript

00:02 Hello.

00:03 In problem number two, we want to give some expressions that we could use to convert between different units of pressure.

00:12 So what i like to do when i'm converting between different units of pressure is i just like to use the values for standard pressure.

00:26 Remember, standard pressure is defined by scientists as the pressure at sea level, the average pressure at sea level.

00:36 So when that is in the unit's atmosphere, standard pressure is one atmosphere.

00:47 When standard pressure is in kilo -pascals, it's 101 .325.

00:59 When it's in pascal's, of course, that's without the kilo there, it's 100, oops, back up the second here, it's 101 ,325 pascal's.

01:18 For bar, standard pressure is 1 .013 bars, or bar.

01:29 And then for tor and millimeter of mercury, those are actually equivalent units.

01:36 So 760 tor is standard pressure, and 760 millimeters of mercury is also standard pressure.

01:47 So if i know these values for standard pressure, i can use these as conversion factors.

01:55 Let's see how i would do that.

01:56 So for letter a, we want conversion between kilo -pascals and atm.

02:04 So i know standard pressure is 101 .325 kilo -pascals, and it is also 1 -atm.

02:17 So these values are equivalent and can be used as our conversion.

02:22 We can write this as a fraction, either with kilo -pascal in the numerator or with atmosphere in the numerator, and use that as a conversion factor...

Please give Ace some feedback