Question

Q1: 10.12.2 (a) Rewrite the expression for the total free energy change for nucleation (Equation 10.3a) for the case of a cubic nucleus of edge length a (instead of a sphere of radius r). Now differentiate this expression with respect to a (per Equation 10.3b) and solve for both the critical cube edge length, a', and also $\Delta G^$. (b) Is $\Delta G^$ greater for a cube or a sphere? Why?

Name: q1 10122 a rewrite the expression for the total free energy change for nucleation equation 103a for the case of a cubic nucleus of edge length a instead of a sphere of radius r now different 57384
Uploaded: 2021-12-05T03:18:28-08:00
Duration: 2 min 36 s
Channel: Khoobchandra Agrawal
Description: q1 10122 a rewrite the expression for the total free energy change for nucleation equation 103a for the case of a cubic nucleus of edge length a instead of a sphere of radius r now different 57384

          Q1: 10.12.2
(a) Rewrite the expression for the total free energy change for nucleation (Equation 10.3a)
for the case of a cubic nucleus of edge length a (instead of a sphere of radius r). Now
differentiate this expression with respect to a (per Equation 10.3b) and solve for both the
critical cube edge length, a', and also $\Delta G^*$.
(b) Is $\Delta G^*$ greater for a cube or a sphere? Why?

q1 10122 a rewrite the expression for the total free energy change for nucleation equation 103a for the case of a cubic nucleus of edge length a instead of a sphere of radius r now different 57384

Added by Katherine R.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

12/05/2021

Step 1

3a (not provided here). We need to rewrite this for a cube of edge length $a$. The volume of the cube is $V = a^3$, and the surface area is $A = 6a^2$. Assuming the original equation has a volume term and a surface area term, we can replace the volume and surface Show more…

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Q1: 10.12.2 (a) Rewrite the expression for the total free energy change for nucleation (Equation 10.3a) for the case of a cubic nucleus of edge length a (instead of a sphere of radius r). Now differentiate this expression with respect to a (per Equation 10.3b) and solve for both the critical cube edge length, a', and also $\Delta G^*$. (b) Is $\Delta G^*$ greater for a cube or a sphere? Why?