When I searched I found a problem exactly like mine (must be tricky!) but I was still confused so here is my similar problem....
A mixture of CaCO3 and CaO weighing 0.692 g was heated to produce CO2. After heating, the remaining solid weighed 0.488 g. Assuming that all the CaCO3 broke down to CaO and CO2, calculate the mass percent of CaCO3 in the original mixture.
Ah, yes. Students always come to the resource center at our school with this problem. And the first time a student came to me for help, I was similarly stumped. Only upon working backwards and thinking about it did I get it. You'll probably go "ah ha" once it's solved.
This is what I have done... is this correct so far...?
CaCO3--> CaO + CO2
so first I found the mass of CO2
.692 g / 100.09 g CaCO3= .0069 mol CaCO3
.692 g is not the weight of CaCO3, it is CaCO3 & CaO. The starting material is a mix of CaCO3 and CaO. When you heat it, the CaCO3 breaks down into CaO and CO2.
The key to the problem is realizing the all of the moles of carbon released as CO2 (which is the difference in weight between the starting material and the product) came
ONLY from the CaCO3. So the moles of carbon in CO2 is going to equal your moles of CaCO3. Once you have your moles of CaCO3 you can convert that to grams and get the mass percent of the original mixture.
Once you get that initial jump of the carbon relationship it becomes a fairly trivial problem.