The square-well potential function is given by:

Answer the following questions:

(a) Sketch a plot of square-well potential energy versus distance.

(b) Using this potential function, develop an expression for the second virial coeffi cient.

(c) For CH4, the parameters are reported to be σ1 = 2.856, σ2 = 4.678, and ε/k is 132.2. Calculate the value of B for methane at 200 K and 400 K. Compare the results to the experimental values reported in Example 4.9.

Example 4.9

Calculate an expression for the second virial coeffi cient, B, for the hard sphere potential model.

for r 01 Te for 0