Compute the solution of the following questions
Question 1- Calculate the homogeneous nucleation rate in liquid copper at undercoolings of 180, 200, and 220 degrees C. Use the following data for Cu: melting temperature: 1356K, latent heat of fusion: 1.88 x 109 J/m3 , surface free energy: 0.177 J/m22 , attempt frequency: 1011 s-1, # atoms on nucleus surface: 6 x 1028 atoms/m3 (assume this constant applies to the number of clusters that have reached the critical stable size and the constant K in the nucleation rate equation is equal to unity)
Question 2- For the transformation of Cu described in question 1, if nucleation were to instead occur on an internal structural in homogeneity with a wetting angle of 45°, what would be the required undercooling to maintain an identical nucleation rate to solid Cu homogeneously nucleating at an undercooling of 200 degrees C? Assume the shape factor scales with the wetting angle (theta) according to: (2 + cos theta) (1-cos theta)2 /4
I want assistance to find the homogeneous nucleation rate in liquid copper.