Question

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

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

Answer 1

Answer: (B)

20000 litres

Answer 2

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