What will be the volume of the balloon?

[MichaelXY]

[SOLVED] Gas Law Problem

Homework Statement

An expandable balloon contains 1400L of He at 0.950 atm pressure and 18 deg C. At an altitude of 22 miles (temp 2 deg C, and pressure 4 Torr. What will be the volume of the balloon?

Homework Equations

(P1V1)/T1 = (P2V2)/T2
1 atm = 760 Torr
K = 273 + Deg C

The Attempt at a Solution

First thing I did was to convert Torr to atm, so 4 Torr = .005 atm.
I then solved for V2 so I get the equation :
V2 = (T2P1V1)/(T2P2) or (275k(0.95atm)1400L)/(291k(.005atm))= 25,1374 L

My Answer seems way off as it is so huge. Where did I make a mistake?
Thanks

 

[eli64]

your calculations are correct, its the low pressure that is making it so big

 

[MichaelXY]

Thanks. It just looked off to me, glad you clarified for me. That would have to be one stretchy balloon though :)