question_answer

A graph is plotted between k vs \[\frac{1}{t}\] of a given reaction A + B \[\xrightarrow{{}}\] product. When concentration of A and B are equal, the slope will be

A)  \[\frac{x}{a}\]                                  

B)  \[\frac{a}{x}\]

C)  \[\frac{x}{a\,(a-x)}\]                     

D)  \[\frac{x}{{{a}^{2}}}\]

Correct Answer: C

Solution :

                \[A+B\xrightarrow{{}}\]Product Initially                  a              a         0 After time t \[(a-x)\]  \[(a-x)\]    \[x\] The rate constant, k is given by \[k=\frac{1}{t}\times \frac{x}{a\,(a-x)}\]