ThermodynamicsHard
Question
To rigid boxes containing different ideal gases are placed on a table. Box A contains one mole 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
T0. The boxes are then put into thermal contect with each until the gases reach a common final temprature of the gases, Tf in terms of T0 is
T0. The boxes are then put into thermal contect with each until the gases reach a common final temprature of the gases, Tf in terms of T0 is Options
A.Tf = 

B.Tf = 

C.Tf = 

D.Tf = 

Solution
Heat lost by He = Heat gained by N2
n1Cv1ᐃT1 = n2Cv2 ᐃT2
R[Tf - T0]
7T0 - 3Tf = 5Tf - 5T0
⇒ 12T0 = 8Tf ⇒ Tf =
T0 ⇒ Tf =
T0
n1Cv1ᐃT1 = n2Cv2 ᐃT2
R[Tf - T0]7T0 - 3Tf = 5Tf - 5T0
⇒ 12T0 = 8Tf ⇒ Tf =
T0 ⇒ Tf =
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