Question

17-15. Using the partition function given in Example 17-2, show that the pressure of an ideal diatomic gas obeys PV Nkg T, just as it does for a monatomic ideal gas.

example it references

Answer 1

Pressure p = K-BT d l n(2)/ d v ln 12 = N Ln q(v_1, beta) - ln N ! p = N K_B T 1/q(v_1 B) d q(v_1 b)/ d v d ln N !/ d v = 0} q(v_1 B) = (2 pi m/h^2 Beta)^3/2 8 pi^2 I/h^2 beta e^-beta hr/2/1- e^-beta m v V = lambda V dq/dv = lambda p = N K_B T 1/lambda V lambda p v = N K_B T QED