(Solved): (1) For the following reaction at 25C, an experiment starting with a 0.210M concentration of A ...

(1) For the following reaction at $25^{?}\mathrm{C}$, an experiment starting with a $0.210\mathrm{M}$ concentration of $\mathrm{A}$ and $0.760\mathrm{M}$ concentration of B was found to be $75\%$ complete in $420\sec$. $\mathrm{A}+2\mathrm{B}?\mathrm{C}\text{ Rate }=?d[\mathrm{A}]/d\mathrm{t}=k[\mathrm{A}{]}^2$ a. Is there a limiting reagent? If so, what is it? b. What is the order of this reaction in $\mathrm{A}$ ? c. What is the integrated rate law for a reaction of this order? d. Calculate the value (with appropriate units!) of the rate constant $k$. e. After $530\sec$, what is the concentration of $\mathrm{A}$ ? f. After 530 sec, how much A has been consumed? How much B has been consumed? g. Calculate $[B]$ and $[C]$ after $530\sec$.