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Two thermally insulated vessels $1$ and $2$ are filled with air at temperatures $({T_1},\,\,{T_2}),$ volume $({V_1},\,\,{V_2})$ and pressure $({P_1},\,\,{P_2})$ respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be
  • A${T_1} + {T_2}$
  • B$({T_1} + {T_2})/2$
  • C$\frac{{{T_1}{T_2}({P_1}{V_1} + {P_2}{V_2})}}{{{P_1}{V_1}{T_2} + {P_2}{V_2}{T_1}}}$
  • D$\frac{{{T_1}{T_2}({P_1}{V_1} + {P_2}{V_2})}}{{{P_1}{V_1}{T_1} + {P_2}{V_2}{T_2}}}$
AIEEE 2004, Medium
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