Two containers of equal volume contain identical gases at pressures $P_1$ and $P_2$ and absolute temperatures $T_1$ and $T_2$ respectively. The vessels are joined and the gas reaches a common pressure $P$ and a common temperature $T$. Then:

  • A
    $P = \left( {\frac{{{P_1}}}{{{T_1}}} + \frac{{{P_2}}}{{{T_2}}}} \right)T$
  • B
    $P = \frac{1}{2}\left( {\frac{{{P_1}}}{{{T_1}}} + \frac{{{P_2}}}{{{T_2}}}} \right)T$
  • C
    $T = \frac{{P{T_1}{T_2}}}{{{P_1}{T_2} + {P_2}{T_1}}}$
  • D
    $T = \frac{{2P{T_1}{T_2}}}{{{P_1}{T_1} + {P_2}{T_2}}}$

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