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Chapter 10: Problem 22

Hurricane Wilma of 2005 is the most intense hurricane on record in the Atlantic basin, with a low-pressure reading of 882 mbar (millibars). Convert this reading into (a) atmospheres, \((\mathbf{b})\) torr, and \((\mathbf{c})\) inches of \(\mathrm{Hg}\).

Short Answer

Expert verified
The pressure reading of Hurricane Wilma, 882 mbar, can be converted into the following units: (a) 0.882 atmospheres, (b) approximately 661.5 torr, and (c) approximately 26.046 inches of Hg.

Step by step solution

01

Identify the conversion factors

In order to convert the pressure from one unit to another, we need to find the appropriate conversion factors. Here are the conversion factors we need for this problem: 1 millibar (mbar) = 0.001 atm 1 millibar (mbar) = 0.750062 torr 1 millibar (mbar) = 0.029530 inches of Hg These conversion factors will help us change the pressure reading in mbar to other units.
02

Convert mbar to atmospheres (atm)

We know the pressure reading in mbar and the conversion factor we need for atmospheres: Pressure in mbar = 882 mbar Conversion factor = 1 mbar = 0.001 atm To convert the pressure reading to atmospheres, we will multiply it by the conversion factor: Pressure in atm = Pressure in mbar × Conversion factor Pressure in atm = 882 mbar × 0.001 atm/mbar Pressure in atm = 0.882 atm So, the pressure reading in atmospheres is 0.882 atm.
03

Convert mbar to torr

Now, we'll convert the pressure reading in mbar to torr: Pressure in mbar = 882 mbar Conversion factor = 1 mbar = 0.750062 torr Pressure in torr = Pressure in mbar × Conversion factor Pressure in torr = 882 mbar × 0.750062 torr/mbar Pressure in torr ≈ 661.5 torr Thus, the pressure reading in torr is approximately 661.5 torr.
04

Convert mbar to inches of Hg

Finally, we'll convert the pressure reading in mbar to inches of Hg: Pressure in mbar = 882 mbar Conversion factor = 1 mbar = 0.029530 inches of Hg Pressure in inches of Hg = Pressure in mbar × Conversion factor Pressure in inches of Hg = 882 mbar × 0.029530 inches of Hg/mbar Pressure in inches of Hg ≈ 26.046 inches of Hg Thus, the pressure reading in inches of Hg is approximately 26.046 inches of Hg. To summarize, Hurricane Wilma's pressure reading of 882 mbar is equal to: (a) 0.882 atmospheres (b) 661.5 torr (c) 26.046 inches of Hg

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