Answer
369 L
Work Step by Step
V1=600 L V2= ? V3 =?
P1= 1.01 atm P2=0.489 atm P3 = 1.01 atm
T1=305K T2= 218 K T3 = 250 K
P1V1 = P2V2
-------- ---------
T1 T2
V2= P1V1T2
--------------
P2T1
= (1.01 atm)(600L)(218K)
----------------------------------
(0.489 atm) (305 K)
= 886 L
since 1/4 of the volume is lost:
V2 = 886 L - 1/4 (886L) = 664.5 L
V3 = P2V2T3
------------
P3T2
= (0.489 atm)(664.5 L) (250K)
--------------------------------------
(1.01 atm) (218 K)
= 369 L volume of the balloon in Landing
