A balloon partially filled with helium has a volume of `30 m^3`, at the earth's surface, where pressure is `76 cm` of (Hg) and temperature is `27^@ C` What will be the increase in volume of gas if balloon rises to a height, where pressure is `7.6 cm` of `Hg` and temperature is `-54^@ C` ?

Answer

`189 m^(3)`

Explanation

`(P_(1)V_(1))/(T_1) = (PV)/(T) or V_(1) = (PV T_(1))/(TP_(1))`
`= (76 xx 30 xx (273-54))/((273+27) xx 7.6) = 219 m^(3)`
Hence, increase in volume
`=V_(1)-V = 219 - 30 = 189 m^(3)`