JEE Main 2006
- Exam
- JEE Main
- Year
- 2006
- Subject
- Physics
- Chapter
- Kinetic Theory of Gases
JEE Main 2006 · Physics · Kinetic Theory of Gases
Two rigid boxes containing different ideal gases are placed on a...
Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature , while Box contains one mole of helium at temperature . 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, , in terms of is
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
\left(\mathrm{T}_{\mathrm{f}}-\mathrm{T}_0\right)+1 \times \frac{5}{2} \mathrm{R}\left(\mathrm{T}_{\mathrm{f}}-\frac{7}{3} \mathrm{~T}_0\right)=0
\mathrm{~T}_{\mathrm{f}}=\frac{3}{2} \mathrm{~T}_0