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Heat and Thermodynamics question

2017 · Q159
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Heat and Thermodynamics question

2017 · Q159

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
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
  1. A
    15 RT
  2. B
    9 RT
  3. C
    11 RT
  4. D
    4 RT
View written solutionFree

Correct answer: C

Internal energy of the system is given by

U=f2nRTU = {f \over 2}nRTU=2f​nRT

Degree of freedom
Fdiatomic = 5
fmonoatomic = 3

and, number of moles n(O2) = 2
n(Ar) = 4

Utotal=52(2)RT+32(4)RT=11RT{U_{total}} = {5 \over 2}\left( 2 \right)RT + {3 \over 2}\left( 4 \right)RT = 11RTUtotal​=25​(2)RT+23​(4)RT=11RT

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