A vessel contains 3 moles of He , 1 mole of Ar, 5 moles of N ₂ and 3 moles of H ₂ . If the vibrational modes are ignored, the total internal energy of the system of gases is

Step-by-step solution

Translational kinetic energy of a gas volume is U= f 2 R T Where, f= degrees of freedom of gas molecules. Now, f=3 for He or Ar monoatomic and f=5 for H ₂ or N ₂ . Diatomic. Hence, for 3 moles of He, 1 mole Ar, 5 moles of N ₂ and 3 moles of H ₂ . aligned U & =3 3 2 R T+1 3 2 R T+5 5 2 R T+3 5 2 R T & = ( 9 2 + 3 2 + 25 2 + 15 2 ) R T & = 52 2 R T=26 R T aligned