A meteorological balloon has a radius of 1.0 m when released at sea level at 20 ◦C
and expands to a radius of 3.0 m when it has risen to its maximum altitude, where the
temperature is -20 ◦C. What is the pressure inside the balloon at that altitude ?

At sea level:

   P1 =  760 mm Hg
 V1πr3 = 227×13 = π
T= 20 + 273 = 293 K

At high altitude:
 
   P2 = ?
  V2 = 27 ππ
T2 = -20 + 273 = 253 K

So, combined gas law:

 P1V1T1 = P2V2T2  P2  = 760×π×253293×27π      = 24.30 mm Hg

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