NEET Solved Paper 2017 Question 31

Question: A gas mixture consists of 2 moles of $ O _2 $ and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

Options:

A) $ 11,RT $

B) $ 4RT $

C) $ 15,RT $

D) $ 9,RT $

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Answer:

Correct Answer: A

Solution:

  • $ U=n _1\frac{f _1}{1}RT+n _2\frac{f _2}{2}RT $ $ =2\times \frac{5}{2}RT+4\times \frac{3}{2}RT $ $ =5RT+6RT $ $ U=11,RT $