Step 1: Balanced reaction
Step 2: Moles of "given" substance(s)
Step 3. Moles of "desired" substance such as a product
Step 4: Convert Step 3 answer to the units asked for
1. The reaction is not balanced correctly as written. It is element-balanced but not charge-balanced. It has a total charge of +1 on the left and +2 on the right. The correct equation is
Cu (s) + 2 Ag+ (aq) ––�?gt; Cu2+ (aq) + 2 Ag (s)
Now it has the same charge on both sides, +2, and is still element-balanced.
Replacing Cu with Mg, the reaction is
Mg (s) + 2 Ag+ (aq) ––�?gt; Mg2+ (aq) + 2 Ag (s)
2. The "given" substance is the 1 gram of silver. Convert to moles of silver. Moles of silver = grams of Ag / atomic weight of Ag.
3. The "desired" substance is magnesium. How many moles of Mg must react in order to form your number of moles of silver calculated in step 2? Use the coefficients in the balanced reaction. Notice how the units cancel correctly to the desired unit, moles of Mg, in the numerator:
moles of Mg = Your moles of Ag X 1 mol Mg =
1 2 mol Ag
4. Convert moles of Mg to grams. Grams of Mg = moles of Mg X atomic weight of Mg.
And that's it! This is a general approach to working these kinds of problems.
Steve