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

Question

The severity of a tropical storm is related to the depressed atmoshperic pressure at its center. Show below is a photograph of typhoon odessa taken from the space shuttle discovery in Aug. 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/hr. If a small weather balloon with a volume of 54.0 L at a pressure of 1.100 atmosphere was deployed at the edge of Typhoon odessa, what was the volume of the balloon when it reached the center?

Explanation / Answer

Solution :-

Initial pressure = 1.100 atm

Initial volume = 54.0 L

Final pressure = 40.0 mbar * 1 atm / 1013.25 mbar = 0.039477 atm

Final volume = ?

P1V1 = P2V2

V2 = P1V1/P2

    = 1.100 atm * 54.0 L / 0.039477 atm

    = 1505 L

So the final volume of the balloon = 1505 L

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.