Question

A meteorological ballon has a volume of 5m3 at 25c and 760mmhg of pressure. if it rise in the atmosphere to a point where ther is a pressure of 0.054atm and -55c what volume will it reach?

Answer 1

Apply the general law of gases

(V1 x P1) / T1 = (V2 x P2 / T2

V1 = 5 m3 x 1000 = 5000 L

T1 = 25 ºC + 273 = 298 K

P1 = 760 mmHg = 1 atm

V2 =?

T2 = - 55 ºC + 273 = 218 K

P2 = 0.054 atm

Calculate V2 = (V1 x P1 x T2) / (P2 x T1)

V2 = (5000 L x 1 atm x 218 K) / (0.054 atm x 298 K)

V2 = 67736 L