$A$ weather balloon filled with hydrogen at $1 \, atm$ and $27 \, ^oC$ has a volume equal to $12000 \, L$. On ascending,it reaches a place where the temperature is $-23 \, ^oC$ and the pressure is $0.5 \, atm$. The volume of the balloon is .............. $L$.

  • A
    $24000$
  • B
    $20000$
  • C
    $10000$
  • D
    $12000$

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Three bulbs are filled with $CH_4$,$CO_2$,and $Ne$ as shown in the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant throughout,the pressure of the system is found to be $...... \ atm$. (Nearest integer)

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