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Iron reacts with chlorine gas, ##Cl_2##, to form iron(III) Chloride, ##FeCl_3##. How do you write the balanced equation for this synthesis reactions?
Simply write the equation and then check if number of atoms of an element present in RHS = LHS.
The equation for this synthesis reaction is :
## Fe + Cl_2 = FeCl_3##
Now as we can observe, ##Fe## is balanced, but ##Cl## is not.

Balancing ##Cl## :

Since we want the least number to be multiplied on both sides to balance the equation, we take LCM of 2 and 3 which is 6
 Multiply RHS ##Cl## by 3 and LHS ##Cl## by 2
The reulting equation becomes:
## Fe + 3Cl_2 = 2FeCl_3##

Balancing ##Fe## :

Now, the LHS has 1 ##Fe## and the RHS has 2 ##Fe## atoms.
 Multiply RHS ##Fe## by 2
The final balanced equation is as follows:
##2Fe + 3Cl_2 = 2FeCl_3##
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