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 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 boxes). Then, the final temperature of the gases,$T_f$ in terms of $T_0$ is
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 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 boxes). Then, the final temperature of the gases,$T_f$ in terms of $T_0$ is
- [AIEEE 2006]
- A
$T_f=$ $\frac{5}{2}\;$$T_0$
- B
$T_f=$ $\frac{3}{7}\;$$T_0$
- C
$T_f=$ $\;\frac{7}{3}\;$$T_0$
- D
$T_f=$$\;\frac{3}{2}\;$$T_0$
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- [JEE MAIN 2022]
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- [JEE MAIN 2013]
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