A gas mixture contains monoatomic and diatomic molecules of 2 moles each. The mixture has a total internal energy of (symbols have usual meanings)

Step-by-step solution

Total internal energy of a gas is given as U= n 2 f R T where, n= number of moles and f= degree of freedom. Given, n_ diatomic =n_ monoatomic =2 As, f_ monoatomic =3 aligned f_ diatomic &=5 U_ monoatomic &= 2 2 3 R T=3 R T U_ diatomic &= 2 2 5 R T=5 R T aligned Total internal energy of the mixture of gases, aligned U_ total &=U_ monoatomic +U_ diatomic &=3 R T+5 R T=8 R T aligned