A weather balloon contains 12.0 m 3 of hydrogen gas when the balloon is released
ID: 2302123 • Letter: A
Question
A weather balloon contains 12.0 m3 of hydrogen gas when the balloon is released from a location at which the temperature is 22.0oC and the pressure is 101 kPa. The balloon rises to a location where the temperature is -30.0oC and the pressure is 20.0 kPa. If the balloon is free to expand so that the pressure of the gas inside is equal to the ambient pressure, what is the new volume of the balloon? Assume that in both cases the hydrogen gas is in thermal equilibrium with the outside air.
Possible Answers:
A) 14.0 m3
B) 2.38 m3
C) 49.9 m3
D) 82.6 m3
E) 4.16 m3
Explanation / Answer
use (PV/T)1=(PV/T)2
Remember the temperature should be in kelvin so add 273 to the celsius value;
(101000*12)/295=(20000*T)/243
4108.5=(20000*T)/243
T=(4108.5*243)/20000
T=49.9=50m^3