Stanton D. answered 12/19/14
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Roo,
In questions of this type, first you need to "get" the chemistry involved, then you need to set up your equation and solve it.
For the chemistry, you need to recognize that Cl and I are both halogens, and the one is substituting for the other in the reaction that takes place.
In particular, Cl gas is Cl2 and potassium iodide is K+ and I- , so that:
Cl2 + 2 KI -> I2 + 2 KCl
So what do you do next?
You need a VOLUME of Cl2 gas. You should know by now, that that translates into a number of MOLES of Cl2 gas.
So how do you get there?
The key idea here is that everything that happens in a chemical equation happens in terms of MOLES. So you need to go from mass of I2 to moles of I2 (divide by molar mass of I2 for doing that), then transfer that number of moles across into number of moles of Cl2 using the stoichiometry of the equation -- that's the coefficients on each of the materials in the reaction equation. In this case, there's a coefficient of 1 for both the Cl2 and the I2 , so that's a 1<-1 (i.e., 1 mole of Cl2 was used to make each mole of I2 produced, but you're tracing back from products to reactants to solve the problem) relationship.
So: first convert mass I2 to moles I2. Then recognize that this is the same value as moles Cl2. Finally, convert from moles of Cl2 to volume (at STP conditions, unless your problem states otherwise) of Cl2 gas, using the universal gas law PV = nRT where P is pressure (such as in bar or atm), V is volume (such as in L), n is number of moles of the species, R is the universal gas constant (expressed in whatever units you're using), and T is temperature in K (STP = 273.15 K).
Note also that the standard conditions for two official organizations -- NIST and IUPAC -- differ a bit on the standard pressure -- the former uses 1 atm, and the latter uses 1 bar ~ 0.987 atm. So make sure that you use whichever calculation, and accompanying value for the universal gas constant, that YOUR course requires!
Hope this helps you; please feel free to provide feedback!