A balloon partialy filled with the gas volume 30m at on surface of earth where pressure is 76 cm of Hg and temperature is 27°C. What will be the increase in volume of gas balloon when it rises to a height where temperature become (-54^(@)C) and pressure become 7.6 cm of Hg.

A balloon partialy filled with the gas volume 30m at on surface of ear

1.	A balloon partialy filled with the gas volume 30m at on surface of earth where pressure is 76 cm of Hg and temperature is 27°C. What will be the increase in volume of gas balloon when it rises to a height where temperature become (-54^(@)C) and pressure become 7.6 cm of Hg.
Answer» SOLUTION :Given `P_(1)=36 cm Hg` `V_(1)=30 m^(3)` `T_(1)=27+273=300 K` `P_(2)=7.6 cm of Hg` `V_(2)= ?` `T_(2)=-54+273=219 K` By gas equation `(P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))` `V_(2)=(P_(1)V_(1)T_(2))/(T_(1)P_(2))=(76xx30xx219)/(300xx7.6)` `=219 m^(3)` So INCREASE in volume of gas `=219-30 m^(3)` `=189m^(3)`