pls explain the formula involved wo rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature, 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,, in terms ofis

The change in internal energy of an ideal gas is given by,U=nCvT=nCv (Tf-Ti)Where,n=Number of molesTf=Final temperatureTi=Initial temperatureFor nitrogen (diatomic gas),Cv=52RFor helium(monoatomic gas)Cv=32RSince no heat is given or taken from the surrounding, the total internal energy of the system can't change.Thus,U(For nitrogen)+U(For helium)=0or 1×52R×(Tf-T0)+ 1×32R×(Tf-7T03)=0or Tf=32T0

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The question is 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

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