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Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature \( \mathrm{T}_{0} \), while box \( \mathrm{B} \) contains one mole of helium at temperature \( (7 / 3) \mathrm{T}_{0} \). The boxes
\( \mathrm{P} \) 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 boxes). Then, the final temperature of the gases,
W \( \mathrm{T}_{\mathrm{f}} \), in terms of \( \mathrm{T}_{0} \) is :
(A) \( \mathrm{T}_{\mathrm{f}}=\frac{3}{7} \mathrm{~T}_{0} \)
(B) \( \mathrm{T}_{\mathrm{f}}=\frac{7}{3} \mathrm{~T}_{0} \)
(C) \( \mathrm{T}_{\mathrm{f}}=\frac{3}{2} \mathrm{~T}_{0} \)
(D) \( \mathrm{T}_{\mathrm{f}}=\frac{5}{2} \mathrm{~T}_{0} \)
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