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

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

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