Perform the indicated pressure conversions. a. 752 mm Hg into pascals b. 458 kPa into atmosphere

step 1 So this question here asks us to perform various conversions. So the first one is going to be 75

Perform the indicated pressure conversions. a. 752 mm Hg...

Key Concepts

Pressure Measurement

Pressure is the force exerted per unit area and can be measured in various units, including the pascal (SI unit), atmosphere, torr, and mm Hg. Understanding the nature of pressure and its measurement is essential in physics and engineering as it provides insights into how forces are distributed and interact within a system.

Unit Conversion Factors

Unit conversion factors are numerical relationships used to translate measurements from one unit to another. In the context of pressure, this involves using established conversion constants—such as those linking pascals to mm Hg or atmospheres—to ensure accurate and consistent calculations across different measurement systems.

Understanding Equivalent Units

Some pressure units, like mm Hg and torr, are equivalent or nearly equivalent, which simplifies certain conversions. Recognizing these equivalencies and the relationship between various pressure units is important for performing accurate pressure conversions in laboratory and real-world applications.

Transcript

00:01 So this question here asks us to perform various conversions.

00:02 So the first one is going to be 752 millimeters of mercury into pascal's.

00:11 And so what we're going to do is we're going to first go to atmospheres because this is, there's definitely some conversion, but it's not commonly known what the conversion from millimeters of mercury is to pascal's.

00:22 So let's first go to atmospheres.

00:24 And so one atmosphere equals 760 millimeters of mercury.

00:30 And so we can do is if we divide 752 by 760, we're going to get the amount of the atmospheres.

00:38 And so we're going to have 0 .9 -8 -9 atmospheres.

00:44 And now the conversion from atmospheres to pascal's is pretty simple and commonly known.

00:49 And that's that we have 101 -325 pascal's in one atmosphere.

00:56 And so we're going to multiply this .989 times 101 325.

01:04 And we're going to get the number of pascal's that we have, which is going to be equal to 100258 pascal's.

01:13 And so it's probably more commonly going to be written as 1 times 10 to the 5th pascal's.

01:22 So that's the first one that we're asked about.

01:25 The next one that we're asked about is 450.

01:31 58 kilopascals going to atmospheres.

01:34 And so this is another one that you should probably just know off the top of your head, and that's that 101 .325 kilo -pascals is equal to one atmosphere.

01:46 And so what we're going to do is we're going to divide 458 by 101 .325...

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