According to the law of equipartition of energy, the number of vibrational modes of a polyatomic gas of constant = C_p C_v is ( C_P where C_v are the specific heat capacities of the gas at constant pressure and constant volume, respectively):
C. 4-3 -1
A polygamic gas has 3 translational, 3 rotational and f vibration modes U= 3 2 k_B T+ 3 2 k_B T+f k_B T U=(3+f) k_B T C_V=(3+f) R C_p=(4+f) R C_p C_v = 4+f 3+f = 4+f=3 +f 4-3 =f( -1) f= 4-3 -1
Related: Physics — Kinetic Theory of Gases · All PYQ Banks