The severity of a tropical storm is related to the depressed atmospheric pressur

Question

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 90 mi/hr and the pressure was 40.0 mbar lower at the center than normal atmospheric pressure. In contrast, the central pressure of Hurricane Andrew was 90.0 mbar lower than its surroundings when it hit south Florida with winds as high as 165 mi/r. 1st attempt i See Periodic Table See Hint If a small weather balloon with a volume of 48.0L at a pressure of 1.00 atmosphere was deployed at the edge of Typhoon Odessa (in picture), what was the volume of the balloon when it reached the center?

Explanation / Answer

At the edge of Typhoon Odessa P1 = 1atm = 1013.3mbar               V1 = 48L
At the center of Typhoon Odessa P2 = 1013.3mbar-40mbar = 973.3mbar   V2 =
    P1V1 = P2V2   (from boyle's law)
      V2 = P1V1/P2
          = 1013.3*48/973.3   = 49.97L
volume of the balloon at the center of Typhoon Odessa = 49.97L

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