Two rigid boxes containing different ideal gases are placed on a table. Box $A$ contains one mole of nitrogen at temperature $T_0$,while box $B$ contains one mole of helium at temperature $(7/3) T_0$. The boxes are then put into thermal contact with each other,and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of the boxes). The final temperature of the gases $T_f$ in terms of $T_0$ is:

  • A
    $T_f = \frac{3}{7} T_0$
  • B
    $T_f = \frac{7}{3} T_0$
  • C
    $T_f = \frac{3}{2} T_0$
  • D
    $T_f = \frac{5}{2} T_0$

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