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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 \( T_{0} \), while Box \( B \) contains one mole of helium at temperature (7/3) \( \mathrm{T}_{0} \). 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 boxes). Then, the final temperature of the gases, \( T_{f} \), in terms of \( T_{0} \) is
[AIEEE 2006; AIIMS 2008]
(a) \( T_{f}=\frac{7}{3} T_{0} \)
(b) \( T_{f}=\frac{3}{2} T_{0} \)
(c) \( T_{f}=\frac{5}{2} T_{0} \)
(d) \( T_{f}=\frac{3}{7} T_{0} \)
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