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Tropical Storms The severity of a tropical storm is related to the depressed atm

ID: 990576 • Letter: T

Question

Tropical Storms The severity of a tropical storm is related to the depressed atmospheric pressure at its center. Shown below is a photograph of Typhoon Odessa taken from the space shuttle Discovery in august 1985, when the maximum winds of the storm were about 90mi/hl and he pressure was40.0 mbar lower at the center than normal atmospheric pressure. In constant the central pressure of Huricane Andrew was 90.0 mbar lower than its surroundings when it hit south Florida with winds as high as 165 mi/hl. If a small weather balloon with a volume of 50.0 L at a pressure of 1.00 atmosphere was deployed at the edge of Typhoon Odessa(in picture). What was the volume balloon when it reached the center?

Explanation / Answer

SInce there is no mention of temperature change, assume it is constant. Therefore, we have:

P1V1 = P2V2------------------(1)

Here, P1 = 1 atm, V1 = 50.0 L

It is mentioned that the pressure (P2) at the center was 40 mbar lower than atmospheric pressure (= 1 atm)

Now, 40 mbar = 0.03948 atm

Therefore, P2 = 1 - 0.03948 = 0.9605 atm

From eq(1): V2 = P1V1/P2 = 1 * 50/0.9605 = 52.06 L

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