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A gas mixture consists of 2 moles of O2 ...

A gas mixture consists of 2 moles of `O_2 ` and 3 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

A

15 RT

B

9 RT

C

11 RT

D

4 RT

Text Solution

Verified by Experts

The correct Answer is:
C
The internal energy of 2 moles of `O_(2)` atom is
`U_(O_(2))=(n_(1)f_(1))/(2)RT=2xx(5)/(2)xxRT`
`U_(O_(2))=5RT`
The internal energy of 4 moles of Ar atom is
`U_(Ar)=(n_(2)f_(2)RT)/(2)=4xx(3)/(2)xxRT=6RT`
`therefore` The total internal energy of the system is
`U=U_(O_(2))+U_(Ar)=5RT+6RT=11RT`
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