give equations showing the commercial methods for preparations of the halogen (F2, Cl2, Br2, I2)

Your best bet for these is to google "preparation x commercially". Here is a link for Cl2.

http://en.wikipedia.org/wiki/Chlorine_production
I have noticed over the last few days that your questions contain no noticeable show of work on your part. It appears you are typing questions from some source and I'm answering most of them. That isn't the way this board is supposed to work. This is the end of the freebies. Please show your work on future posts OR explain very fully exactly what you don't understand about a process. Then we can try to help.

Certainly! Here are the equations that represent the commercial methods for the preparation of the halogens:

1. Preparation of Fluorine (F2):
Fluorine is typically prepared by the electrolysis of a solution of potassium hydrogen fluoride (KHF2) in anhydrous hydrogen fluoride (HF).
2 KHF2 (aq) → 2 KF(aq) + H2(g) + F2(g)

2. Preparation of Chlorine (Cl2):
Chlorine is commonly prepared by the electrolysis of a concentrated solution of sodium chloride (NaCl), which is known as the chlor-alkali process.
2 NaCl(aq) + 2 H2O(l) → 2 NaOH(aq) + H2(g) + Cl2(g)

3. Preparation of Bromine (Br2):
Bromine is typically prepared by the oxidation of bromide ions (Br-) present in seawater with chlorine gas (Cl2).
2 Br-(aq) + Cl2(g) → 2 Cl-(aq) + Br2(l)

4. Preparation of Iodine (I2):
Iodine can be prepared by the reaction of iodine-containing mineral ores (such as Sodium iodate, NaIO3) with an excess of sulfur dioxide gas (SO2) and reducing agents like sulfuric acid (H2SO4) or sodium bisulfite (NaHSO3).
5 NaIO3(s) + 5 SO2(g) + 5 H2O(l) → 5 HIO3(aq) + 5 H2SO4(aq)
5 HIO3(aq) + 3 SO2(g) + H2O(l) → 5 I2(s) + 3 H2SO4(aq)

These equations represent the common commercial methods for the preparation of fluorine, chlorine, bromine, and iodine.