A Weather Balloon Containing $2.0 \mathrm {~m} ^ { 3 }$

Multiple Choice

A weather balloon containing $2.0 \mathrm {~m} ^ { 3 }$ of hydrogen gas rises from a location at which the temperature is $22 ^ { \circ } \mathrm { C }$ and the pressure is 101 kPa to a location where the temperature is $- 39 ^ { \circ } \mathrm { C }$ and the pressure is 20 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?

A) $8.0 \mathrm {~m} ^ { 3 }$
B) $4.0 \mathrm {~m} ^ { 3 }$
C) $12 m ^ { 3 }$
D) $10 m ^ { 3 }$
E) $6.0 \mathrm {~m} ^ { 3 }$