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

A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

A

4 RT

B

15 RT

C

9 RT

D

11 RT

Text Solution

Verified by Experts

The correct Answer is:
D
The internal energy of n moles of a gas is `u = 1/2 nFRT`, where F = number of degrees of freedom.
The internal energy of 2 moles of oxygen at temperature T is `u_1 = 1/2 xx 4 xx 5 RT = 5 RT` (F = 5 of oxygen molecule)
Total internal energy of 4 moles of argon at temperature T is = `u_2 = 1/2 xx 4 xx 3RT= 6RT`.
Total internal energy ` u_1 + u_2 + 11RT`.
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