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  • Can someone explain A gas mixture consists of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

A gas mixture consists of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

  • Option 1)

    4 RT

  • Option 2)

    15 RT

  • Option 3)

    9 RT

  • Option 4)

    11 RT

 

Answers (1)

best_answer

As we learnt in

Total internal energy -

U= U_{K}+U_{P}
 

- wherein

Change in internal energy

Delta U= nfrac{f}{2}RDelta T

(Always)

f is degree of freedom

 

 

Internal energy of a system is 

U=U_{1}+U_{2}

=n_{1}C_{V1}T+n_{2}C_{V2}T

n_{1}=2, C_{V1}=\frac{fR}{2}=\frac{5R}{2}

n_{2}=4, C_{V2}=\frac{3R}{2}

\therefore U =\left ( 2\times \frac{5R}{2} +4\times \frac{3R}{2}\right )T 

or    U = 11RT

Correct option is 4.

 


Option 1)

4 RT

This solution is incorrect.

Option 2)

15 RT

This solution is incorrect.

Option 3)

9 RT

This solution is incorrect.

Option 4)

11 RT

This solution is correct.

Posted by

Plabita

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