A weather balloon contains 12.0 m^3 of hydrogen gas when the balloon is released

Question

A weather balloon contains 12.0 m^3 of hydrogen gas when the balloon is released from a location at which the temperature is 220 degree C and the pressure is 101 kPa. The balloon rises to a location where the temperature is -30.0 degree C and the pressure is 20.0 kPa. If the balloon is free to expand so that the pressure of the gas inside is equal to the ambient pressure. what is the new volume of the balloon? Assume that in both cases the hydrogen gas is in thermal equilibrium with the outside air. 4.16 m^3 82.6 m^3 14.0 m^3 49.9 m^3 238 m^3

Explanation / Answer

apply ideal gas eqn as PV = nRT

so

P1V1/T1 = p2V2/T2

so

V2 = P1V1T2/P2T1

V2 = 12 *101000*(22+273)/((-30+273) * 101000 )

V2 = 14 m^3 option 3 it is

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