A weather balloon is launched from sea level (pressure = 1atm). It initially has a volume of 1.3 m3 with 25°C ideal helium inside of it. It rises in the earth's atmosphere, cooling and expanding in volume. What will be its new volume if its final temperature and pressure are -43°C and 0.15 atm?
A.8.1 m3
B.4.2 m3
C.6.7 m3
D.2.3 m3
Using pressure/volume/temperature laws for IDEAL gasses:
p1 v1 / t1 = p2 v2 / t2 where t is in KELVIN degrees
(1)(1.3) / (25+273.15) = (.15) v2 / (-43 + 273.15)
solve for v2 = 6.69 m^3