A gas-filled balloon with a volume of 2.10 L at 1.20 atm and 20°C is allowed...

A gas-filled balloon with a volume of 2.10 L at 1.20 atm and 20°C is allowed to rise to the stratosphere (about 30 km above the surface of the Earth), where the temperature and pressure are −23°C and 3.00×10⁻³ atm, respectively. Calculate the final volume of the balloon. ____ L

Expert Solution

initial Final

V1 = 2.1L V2 =

P1 = 1.2atm P2 = 3*10^-3 atm = 0.003atm

T1 = 20⁰C = 20 + 273 = 293K T2 = -23⁰C = -23+273 = 250K

P1V1/T1 = P2V2/T2

V2 = P1V1T2/T1P2

= 1.2*2.1*250/293*0.003 = 716.72L

final volume of the balloon = 716.72L

queen_honey_blossom answered 1 year ago

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