AP EAMCET · PHYSICS · Thermodynamics
A vessel contains 3 moles of \(\mathrm{He}, 1\) mole of Ar, 5 moles of \(\mathrm{N}_2\) and 3 moles of \(\mathrm{H}_2\). If the vibrational modes are ignored, the total internal energy of the system of gases is
- A \(20 R T\)
- B \(26 R T\)
- C \(25 R T\)
- D \(30 R T\)
Answer & Solution
Correct Answer
(B) \(26 R T\)
Step-by-step Solution
Detailed explanation
Translational kinetic energy of a gas volume is \[ U=\frac{f}{2} R T \] Where, \(f=\) degrees of freedom of gas molecules. Now, \(f=3\) for He or Ar monoatomic and \(f=5\) for \(\mathrm{H}_2\) or \(\mathrm{N}_2\). Diatomic. Hence, for 3 moles of He, 1 mole Ar, 5 moles of…
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