Question

In: Chemistry

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

Solutions

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


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