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  • A gas mixture consists of 4 moles of oxygen and 10 moles of argon at temperature . Negl

A gas mixture consists of 4 moles of oxygen and 10 moles of argon at temperature \mathrm{T}. Neglecting all vibrational modes, the total internal energy of the system is :

Option: 1

4 \mathrm{RT}


Option: 2

25 \mathrm{RT}


Option: 3

9 \mathrm{RT}


Option: 4

15 \mathrm{RT}


Answers (1)

best_answer

Internal energy of n moles of an ideal gas at temperature \mathrm{T}is given by
 
\mathrm{U}=\mathrm{n}\left(\frac{f}{2} R T\right)

where  \mathrm{f}= degrees of freedom.
               =5 \text { for } \mathrm{O}_{2} \text { and } 3 \text { for } \mathrm{Ar}

Hence,\mathrm{U} =U_{o_{2}}+U_{\mathrm{Ar}}
\mathrm{=4\left(\frac{5}{2} R T\right)+10\left(\frac{3}{2} R T\right)=25\mathrm{RT}}

 

Posted by

manish

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