A coherent precipitate nucleates much more easily than does an incoherent particle of the same precipitate. Typical sizes (r) are : for the coherent precipitate is 10nm and for the incoherent is about 1m. Please solve and answer below questions assuming spherical-shapes precipitates : a) What is the ratio of G for the two types of precipitate if coh=40 ergs /cm2 and incoh=400 ergs/cm2?( take G=0 ). b) If Gv=50T/Tcal/cm3,T=1000K,G=1cal/cm3 for the coherent precipitate and G=0 for the incoherent precipitate, at what T are the G for the two are equal? c) If the number of nuclei formed per cubic centimeter is given by N=1027exp(G/kT) What is the rate for coherent nucleation at T=20K and at T=200K ? How about the rate for the incoherent nucleation at the same temperature differences, namely T=20K and at T=200 K ? Take the frequency of precipitation nucleation a constant value of v=103sec1. A coherent precipitate nucleates much more easily than does an incoherent particle of the same precipitate. Typical sizes (r) are : for the coherent precipitate is 10nm and for the incoherent is about 1m. Please solve and answer below questions assuming spherical-shapes precipitates : a) What is the ratio of G for the two types of precipitate if coh=40 ergs /cm2 and incoh=400 ergs/cm2?( take G=0 ). b) If Gv=50T/Tcal/cm3,T=1000K,G=1cal/cm3 for the coherent precipitate and G=0 for the incoherent precipitate, at what T are the G for the two are equal? c) If the number of nuclei formed per cubic centimeter is given by N=1027exp(G/kT) What is the rate for coherent nucleation at T=20K and at T=200K ? How about the rate for the incoherent nucleation at the same temperature differences, namely T=20K and at T=200 K ? Take the frequency of precipitation nucleation a constant value of v=103sec1