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

Explanation

Here `V_1=30m^3`
`P_1`=76 cm of Hg , `T_1`=273+27=300 K
`P_2`=7.6 cm of Hg, `T_2`=273-54=219K
As `(P_1V_1)/(T_1)=(P_2V_2)/(T_2)`
`therefore V_2=(P_1V_1T_2)/(T_1P_2)=(76xx30xx219)/(300xx7.6)=219 m^3`
`therefore` Increase in bolume of gas
`=V_2-V_1=219-30=190 m^3`