ThermodynamicsHard
Question
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
Options
A.Tf =
T0
T0B.Tf =
T0
T0C.Tf =
T0
T0D.Tf =
T0
T0Solution
ᐃU = 0
⇒
R(Tf - T0) + 1 ×
R(Tf -
T0) = 0
Tf =
T0
⇒
R(Tf - T0) + 1 ×
R(Tf -
T0) = 0Tf =
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