Thermodynamics Question 331

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 term of T0 is

Options:

A) Tf=73T0

B) Tf=32T0

C) Tf=52T0

D) Tf=37T0

Show Answer

Answer:

Correct Answer: B

Solution:

[b] When two gases are mixed together then Heat lost by the Helium gas = Heat gained by the Nitrogen gas

μB×(Cv)He×(73T0Tf)=μA×(Cv)N2×(TfT0)

1×32R×(73T0Tf)=1×52R×(T0Tf)

By solving we get Tf=32T0



NCERT Chapter Video Solution

Dual Pane