Convert the following pressures into mm Hg. a. 0.903 atm b. 2.1240 ×10^6 Pa c. 445 kPa d. 342 to

Convert the following pressures into mm Hg. a. 0.903 atm b....

Key Concepts

Millimeters of Mercury (mm Hg)

Millimeters of mercury is a common unit for measuring pressure, especially in medical and meteorological contexts. It originates from the height of a column of mercury that produces a given pressure and is directly related to the unit torr, with 1 mm Hg essentially equivalent to 1 torr.

Atmospheric Pressure

Atmospheric pressure is often provided in units of atmospheres (atm), particularly in contexts related to weather, altitude, and various engineering problems. Knowing that 1 atm equals 760 mm Hg is a key conversion factor when converting pressures into mm Hg.

Conversion Factors

Conversion factors are numerical multipliers used to convert a quantity expressed in one set of units to another. They are critical in ensuring that the final answer is consistent with the desired unit of measurement. In pressure conversions, these factors help translate values from atmospheres, pascals, kilopascals, or torr to millimeters of mercury (mm Hg).

Pressure Units

Pressure is a measure of force per unit area and is expressed in various units across different measurement systems. In many scientific and engineering contexts, pressure may be given in atmospheres (atm), pascals (Pa), kilopascals (kPa), torr, or millimeters of mercury (mm Hg), among others.

Unit Conversions

Converting from one unit of pressure to another involves using established conversion factors. For example, 1 atm is equivalent to 760 mm Hg, and there are specific relationships between Pa, kPa, torr, and mm Hg that allow for the translation between SI units and other measurement systems.

SI Units for Pressure

The International System of Units (SI) defines pressure in pascals (Pa), where one pascal is equivalent to one newton per square meter. Recognizing this unit is essential when converting pressures provided in SI units to other units like mm Hg.

Transcript

00:01 This question is asking us to convert various pressures into pressures, but in millimeters of mercury.

00:06 And so our first one is 0 .903 atmospheres.

00:10 And so to get to millimeters of mercury, we need to know that 760 millimeters of mercury is equal to one atmosphere.

00:20 And so these units will cancel.

00:23 And if we want to get the pressure in millimeters of mercury, we have to multiply 760 times 0 .903.

00:30 And doing that in a calculator, it gives us 686 .286mm mercury.

00:39 And so our next question asks us to take, i'll change the color for this, asks us to take 2 .124 times 10 to these 6 pascales, which seems like a large number, but pascales are kind of a small unit, 2 millimeters of mercury.

00:57 And so you're probably not going to know the conversion from pascalis to millimeters to millimeters of mercury off the top of your head.

01:03 You should know how that you can go through atmospheres to get there.

01:07 So we're going to first go to atmospheres.

01:11 And so one atmosphere is equal to 101 325 pascal's.

01:17 And so if we want to go from this number to atmospheres, we need to divide 2 .124 times 10 to the 6 by our conversion here, which is 1 101 325 and this will give us the atmospheres which is fairly large 20 .96 atmospheres and then before we already did this atmospheres to millimeters of mercury we need to multiply like we did above by 760 so times 760 because 760 millimeters of mercury equals one atmosphere if we do that we're going to get that we have 1 .5 or pardon me 15931 millimeters of mercury, which you could write as 1 .5 times 10 to the 4th.

02:17 Now, our next one, we're going to be asked to go from kilopascals to millimeters of mercury...

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