2KI + Cl2 -------> 2KCl + I2
Moles of KI reacted = 0.2 x 200/1000 = 0.04 moles of KI
According to reaction stoichiometry, 0.04moles of KI will react with 0.04/2 moles Cl2 to liberate I2 completely.
At STP, 1 mole Cl2 corresponds to 22.4L
So, 0.02 moles of Cl2 corresponds to 0.448L
Hence 0.448L of Cl2 will be required to liberate I2 completely from the given solution