Kinetic Theory Of Gases Question 165
Question: A gas mixture consists of 2 mol of oxygen and 4 mol of argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is
Options:
A) 4 RT
B) 15 RT
C) 9 RT
D) 11 RT
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Total internal energy of system $ =U _{oxygen}+{U _{\arg on}} $ $ ={\mu _{1}}=\frac{f _{1}}{2},RT+{\mu _{2}}\frac{f _{2}}{2}RT $ $ =2\frac{5}{2}RT+4\frac{3}{2}RT=5RT+6RT=11RT $ [as $ f _{1}=5 $ (for oxygen) and $ f _{2}=3 $ (for argon)]
BETA
