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NEET 2017
Exam
NEET
Year
2017
Subject
Physics
Chapter
Thermodynamics

NEET 2017 · Physics · Thermodynamics

A gas mixture consists of 2 moles of O _ 2 and 4 moles of Ar at...

A gas mixture consists of 22 moles of O2{O}_{2} and 4 moles of ArAr at temperature TT. Neglecting all vibrational modes, the total internal energy of the system is (RR is universal gas constant)

Options

  1. A4RT4RT
  2. B15RT15RT
  3. C9RT9RT
  4. D11RT11RT

Correct answer

D. 11RT11RT

Step-by-step solution

For a gas having nn moles of molecules with each ff degrees of freedom at temperature TK,TK, internal energy is U=12nfRTU = \dfrac{1}{2}nfRT

∴∴ Total internal energy is

U=n1f12RT+n2f22RTU = {n}_{1}\dfrac{{f}_{1}}{2}RT + {n}_{2}\dfrac{{f}_{2}}{2}RT

=2×52RT+4×32RT= 2 \times \dfrac{5}{2}RT + 4 \times \dfrac{3}{2}RT

=5RT+6RT= 5RT + 6RT

U=11RTU = 11RT
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