Understanding the Problem
To find the N flux of component A, we must consider both the total flux and the J flux of A. Here, it is given that:
- Total flux (N_total) = 2 mol/sq.m sec
- J flux of A (J_A) = 2 mol/sq.m sec
- Mole fraction of A (x_A) = 0.5
Calculating N Flux of A
The N flux of A can be derived from the relationship between the total flux and the J flux of the components. The total flux can be expressed as:
- N_total = J_A + J_B
Where J_B is the J flux of component B.
Given that x_A = 0.5, we can deduce that:
- J_B = N_total - J_A
Substituting the values:
- J_B = 2 mol/sq.m sec - 2 mol/sq.m sec
- J_B = 0 mol/sq.m sec
This indicates that all the flux is from component A.
Finding N Flux of A
To calculate the N flux of A (N_A), we can use the relationship:
- N_A = x_A * N_total
Substituting the known values:
- N_A = 0.5 * 2 mol/sq.m sec
- N_A = 1 mol/sq.m sec
Conclusion
In summary, the N flux of component A is:
- N flux of A = 1 mol/sq.m sec
This value represents the amount of A flowing per unit area per unit time, demonstrating that despite A having a high J flux, the total flux is shared with B, which in this case has no contribution.