Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T₀, while Box 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, T f in terms of T₀ is

Thermodynamics: JEE Main 2006 Physics question

JEE Main 2006 · Annual, Paper 1 · Q7354

JEE Main 2006Annual, Paper 1PhysicsMediumThermodynamics163× since 2002

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

\left( {{7 \over 3}} \right){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}

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