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  4. 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

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

States of Matter

Solution:

$\frac{P_1 \, V_1}{T_1} = \frac{P_2 \, V_2}{T_2} $
$\frac{1 \times 12000}{273 + 27} =\frac{0.5 \times V_2}{273 -23}$
On solving ; $V_2$ = 20,000 litres.