Question
S 6590| 8:51 PM www.webassign.net/web/StudentAssignment-Responses/last?dep-11308558 11. 0/1 points | Previous Answers OSColPhysl 13.P.040.WA. My Notes Ask Your Teache Weather balloons are high altitude balloons that are capable of reaching an altitude of 40 km (or 25 miles). They are usually filled with hydrogen or helium gas. One such balloon is filled with air that is initially at a temperature of 297 K and at atmospheric pressure. This particular balloon can expand to a maximum diameter of 44 m when it reaches an altitude where the pressure and temperature are 0.028 atm and 190 K respectively. Determine the diameter of the balloon at lift off. What is the volume of the balloon at the higher altitude? Apply the ideal gas law equation for the two situations. m Supporting Materials Physical Constants Additional Materials Reading
Explanation / Answer
initial parameters:
P1= 1 atm
T1=297 K
V1=?
final parameters:
P2=0.028 atm
T2=190 K
V2=(4/3)*pi*(44/2)^3=4.46*10^4 m^3
then as we know
P1*V1/T1=P2*V2/T2
V1=1952.2 m^3
then if diamter is d,
then (4/3)*pi*(d/2)^3=1952.2
d=15.506 m
