For parts 1 to 5 , determine whether the following multicomponent distillation problems can or cannot be solved with a stage-by-stage calculation, and if a stage-by-stage calculation can be used, which direction should you step off stages?

1. You have two \(\mathrm{LNK}\) s, an \(\mathrm{LK}\), and an \(\mathrm{HK}\).

a. Step off stages from the top down.

b. Step off stages from the bottom up.

c. Step off stages in either direction.

d. Calculation probably will not converge.

2. You have an \(\mathrm{LNK}\), an \(\mathrm{LK}\), an \(\mathrm{HK}\), and an \(\mathrm{HNK}\).

a. Step off stages from the top down.

b. Step off stages from the bottom up.

c. Step off stages in either direction.

d. Calculation probably will not converge.
3. You have an \(\mathrm{LK}\), an \(\mathrm{HK}\), and two \(\mathrm{HNK}\).

a. Step off stages from the top down.

b. Step off stages from the bottom up.

c. Step off stages in either direction.

d. Calculation probably will not converge.
4. You have an LK, a sandwich component, and an HK.

a. Step off stages from the top down.

b. Step off stages from the bottom up.

c. Step off stages in either direction.

d. Calculation probably will not converge.
5. You have an \(\mathrm{LK}\), a sandwich component, an \(\mathrm{HK}\), and an \(\mathrm{HNK}\).

a. Step off stages from the top down.

b. Step off stages from the bottom up.

c. Step off stages in either direction.

d. Calculation probably will not converge.