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Thermal Properties Of Matter

Question
CBSEENPH11020422

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

  • straight T subscript straight f space equals space 5 over 2 straight T subscript 0
  • straight T subscript straight f space equals space 3 over 7 straight T subscript 0
  • straight T subscript straight f space equals space 7 over 3 straight T subscript 0
  • straight T subscript straight f space equals space 3 over 2 straight T subscript 0

Solution

D.

straight T subscript straight f space equals space 3 over 2 straight T subscript 0 increment straight U space equals space 0
rightwards double arrow 3 over 2 straight R left parenthesis straight T subscript straight f minus straight T subscript 0 right parenthesis space plus space 1 space straight x space 5 over 2 space straight R space left parenthesis straight T subscript straight f minus 7 over 3 straight T subscript 0 right parenthesis equals 0
straight T subscript straight f space equals space 3 over 2 straight T subscript 0