Ok, so I do think that there actually is a limiting reactant. AND you need to know the rate law to do this problem. The key to this is figuring out how long(change in time= dt) it takes for the molarity of A and B, individually, to reach zero. If one reaches zero before the other, then it limits the reaction. You get the time it takes for the limiting reactants to be completely consumed using the rate order in respect to each reactant.
Because A is second order, d[A]/dt= k[A]^2 and because B is first order, d/dt= k.
Now, using the formula I gave in an earlier post and the k you found, we have:
-289.35(-.24^2)= -[.24]/dt and solving for dt, we get dt= .014hrs.
Now for B, using: -289.35(-.12)= -.12/dt, and solve for dt, dt= .0035 hrs.
SO, the B is used up sooner and is the limiting reagent. Because of this, we use: -(1/2)d/dt = (1/3)d[C]/dt
Substituting all our known values we have:
-(1/2)(-.12)/.0035 = (1/3)d[C]/.0035
multiplying both sides by .0035,
.12/2 = d[C]/3 and solving for d[C]=.18
I knew something smelled fishy. But after thinking I was right at first, and now thinking I was wrong at first....I wouldn't bet my life that it is right. I don't see any flaws in my latest reasoning---I accounted for the limiting reagent, but I would get a second opinion if I were you. When is this due?