A weather balloon filled with hydrogen at `1 atm` and `27^(@)C` has volume equal to `1200` litres. On ascending, it reaches a place where temperature is `-23^(@)C` and pressure is `0.5 atm`. The volume of the balloon is

Options

A. `24000` litres
B. `20000` litres
C. `10000` litres
D. `12000` litres

Answer

B

Explanation

`(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2))`
`(1 xx 12000)/(273 + 27) = (0.5 xx V_(2))/(273 - 23)`
On solving , `V_(2) = 20,000` litres