A weather balloon filled with hydrogen gas at 1 atm and `27^(@)C` has volume equal to 12000 litres. On ascending , it reaches a place where temperature is `-23^(@)C` and pressure 0.5 atm. The volume of the balloon is `:`

Options

A. 24000L
B. 12000L
C. 10000L
D. 20000L

Answer

D

Explanation

`p_(1) = atm`,
`V_(1) =12000L`,
`T_(1) =27 + 273 = 300K`
`p_(2) = 0.5 atm`,
`V_(2) = ?`
`T_(2) = - 23 + 273 = 250 K`
`( p_(1) V_(1))/( T_(1)) = ( p _(2) V_(2))/( T_(2))`
or `V_(2) = ( p_(1) V_(1) T_(2))/( p_(2) V_(1)) = ( 1 xx 12000 xx 250)/( 0.5 xx 300)`
`= 20,000L`