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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 x \times RT. what is 'x' ?

Option: 1 4

Option: 2 5

Option: 3 15

Option: 4 11

Answers (1)

best_answer

 

Total internal energy -

U= U_{K}+U_{P}
 

- wherein

Change in internal energy

\Delta U= n\frac{f}{2}R\Delta T

(Always)

f is degree of freedom

 

 In the question oxygen is diatomic and Argon is monoatomic

In an ideal gas internal energy =\frac{f}{2}nRT

U=\frac{5}{2}\times 2\times RT+4\times \frac{3}{2}RT=11\; RT.

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