A Balloon Originally Has a Volume Of $1.0 \mathrm {~m} ^ { 3 }$

Multiple Choice

A balloon originally has a volume of $1.0 \mathrm {~m} ^ { 3 }$ when the gas in it is at $20 ^ { \circ } \mathrm { C }$ and under a pressure of 1.0 atm. As it rises in the earth's atmosphere, its volume expands. What will be its new volume if its final temperature and pressure are $- 40 ^ { \circ } \mathrm { C }$ and 0.10 atm ?

A) $6.0 \mathrm {~m} ^ { 3 }$
B) $2.0 \mathrm {~m} ^ { 3 }$
C) $4.0 \mathrm {~m} ^ { 3 }$
D) $8.0 \mathrm {~m} ^ { 3 }$