Two rigid boxes containing different ideal gases are placed on a table. Box A contains…

Physics · JEE Advanced · NTA ExamsKinetic Theory of Gases

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T0, while Box B contains one mole of helium at temperature (7/3) T0. 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, Tf, in terms of T0 is
  1. \(T_{f}=\frac{5}{2} T_{0}\)
  2. \(T_{f}=\frac{3}{7} T_{0}\)
  3. \(T_{f}=\frac{7}{3} T_{0}\)
  4. \(T_{f}=\frac{3}{2} T_{0}\)

Answer

(D) T_ f = 3 2 T_ 0

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