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A gas mixtures consists of 3 moles of oxygen and 5 moles of argon at temperature T. Considering only translational and rotational modes, the total internal energy of the system is:

 

  • Option 1)

    20RT

  • Option 2)

    12RT

  • Option 3)

     

    4RT

  • Option 4)

     

    15RT

Answers (1)

best_answer

 

 

Kinetic energy of a gas due to translation per mole -

E= \frac{3}{2}PV

= \frac{3}{2}RT
 

- wherein

R = Universal gas constant

T = temperature of gas

Total internal energy

V=\frac{f_{o}}{2}\: n_{o}RT+\frac{fa}{2}n_{a}RT

=\frac{5}{2}3RT+\frac{3}{2}5RT

=15 RT

 

 


Option 1)

20RT

Option 2)

12RT

Option 3)

 

4RT

Option 4)

 

15RT

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