The pressure on top of Mount Everest (29,029 ft) averages about 235 mm Hg . Convert this pressur

step 1 Hi there. In this question, we are talking about units of pressure. I often believe that pressur

The pressure on top of Mount Everest (29,029 ft) averages...

Key Concepts

Pressure

Pressure is defined as the force applied per unit area. It is a fundamental physical quantity used to describe how much force is exerted on all or part of a surface and is measured using various units depending on the context. Understanding pressure is essential in fields ranging from fluid mechanics to meteorology.

Units of Pressure

There are several common units for measuring pressure, including millimeters of mercury (mm Hg), torr, pounds per square inch (psi), inches of mercury (in Hg), and atmospheres (atm). Each unit is based on different measurement systems or reference conditions, and understanding these units allows for consistent communication and conversion in scientific and engineering tasks.

Conversion Factors

Conversion factors are fundamental relationships between different units that allow for the accurate transformation of one unit of measure to another. In pressure conversions, it is necessary to know how many of one unit are equivalent to another (for example, recognizing that 1 mm Hg is numerically equivalent to 1 torr), which simplifies the conversion process and ensures precision.

Dimensional Analysis

Dimensional analysis is a systematic method used in physics and chemistry to convert between units using multiplication by conversion factors. By ensuring that the units correctly cancel out, this method provides a clear pathway to transform a given measurement into the desired unit, making it one of the most versatile tools in problem-solving.

Transcript

00:02 Hi there.

00:03 In this question, we are talking about units of pressure.

00:08 I often believe that pressure perhaps has more units that could be used to measure it than any other quantity in science.

00:19 I've never really looked into that, but there are lots of different units of pressure.

00:24 And we are going to get to see five of those here.

00:28 So we're starting out at the top of mount everest, it is 235 millimeters of hg is the pressure.

00:37 So first we want to convert that to tor.

00:42 So 235 millimeters of hg.

00:48 We need a conversion between millimeters of hg and tor.

00:53 And it just so happens that millimeter of hg numerically is the same as tor.

01:02 It's a one -to -one relationship there.

01:05 So this gives me 235 tour.

01:11 So tours and millimeters are pretty cool.

01:14 They are interchangeable and the number will stay the same.

01:19 Moving on to letter b, we're not going to be so lucky here because we are trying to find psi.

01:25 So starting again with our 235 millimeters of mercury, we need a conversion factor between millimeters and psi, the one i am going to going to use tells me that there are 51 .7 millimeters of mercury in one psi.

01:49 Psi is of course pounds per square inch.

01:52 It's what we typically use when we're inflating tires.

01:56 All right.

01:57 So doing the math here, 235 divided by 51 .7 gives me 4 .55 psi pounds per square inch...

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