Given the following, what would the new volume of the balloon be?

Question

A child has a toy balloon with a volume of 1.80 liters. The temperature of the balloon when it was filled was 20° C and the pressure was 1.00 atm. If the child were to let go of the balloon and it rose 3 km into the sky where the pressure is 0.667 atm and the temperature is -10° C.....

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Answer 1 · 2016-09-09T19:17:35

#V_2~=2.5*L#

The combined gas equation holds that for constant #n#:

#(P_1V_1)/T_1 = (P_2V_2)/T_2#

Thus #V_2# #=# #(P_1xxT_2xxV_1)/(P_2xxT_1)# (this clearly has the units of volume.)

#=# #(1*atmxx263*Kxx1.80*L)/(0.667*atmxx293*K)# #=# #??L#