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I am having a real tough time with this homework problem. The question reads as

ID: 822817 • Letter: I

Question

I am having a real tough time with this homework problem. The question reads as such: The pressure of a weather system could be determined indirectly by observing the solubility of oxygen in water under the storm. Suppose that a hurricane passes over the Gulf of Mexico where sensors detect a decrease in ocxygen solubility down to 2.418x10^-4 mol/L. What is the atmospheric pressure of this hurricane? assume that the water and hurricane are at constant temp of 25 degrees Celsius. Henry's constant for O2 in water at this temp is 1.31x10^-3 mol/Latm. Hoping to get some guidance on where to start and how to solve this problem. Greatly appreciated, Tim

Explanation / Answer

This site (see source below) from the University of Illinois has a good diagram of how the atmospheric pressurechanges when moving from the eye of the hurricane to the edge.

The atmospheric pressure is highest towards the edge of the hurricane and then decreases as you move closer to the eye.

The source of this information has additional explanation about the relationship between the atmospheric pressure of the storm and the wind speed and how they are related.

The second source I found says the following:
"A hurricane's wind speed is inversely proportional to the air pressure at the storm's center. Average atmospheric pressure at sea level is 29.92 inches (76.00 centimeters) of mercury. It has been determined that pressure must drop to or below 29.50 inches (74.93 centimeters) at the center of a storm before a hurricane eye will develop. Some of the lowest pressures ever recorded in a hurricane's eye were 899 millibars in Rita and 902 millibars in Katrina (both in 2005), 910 millibars in Mitch (2004), and 905 millibars in Camille (1969).

Storm size also plays a role in determining wind speed. In two systems with the same central pressure, the smaller storm will have the higher wind velocities. "


Pressure and Winds - the distribution across a hurricane
http://ww2010.atmos.uiuc.edu/(Gh)/wwhlpr...