For a reaction $\frac{1}{2} A \rightarrow 2 B$,the rate of disappearance of $A$ is related to the rate of appearance of $B$ by the expression:

  • A
    $\frac{-d[A]}{dt} = 4 \frac{d[B]}{dt}$
  • B
    $\frac{-d[A]}{dt} = \frac{1}{4} \frac{d[B]}{dt}$
  • C
    $\frac{-d[A]}{dt} = \frac{1}{2} \frac{d[B]}{dt}$
  • D
    $\frac{-d[A]}{dt} = \frac{d[B]}{dt}$

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Calculate the instantaneous rate $(r_{inst})$ based on the example problem $-1$ graphically for the times $250\ s$,$350\ s$,$450\ s$,and $600\ s$.

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The following results are obtained in the hydrolysis of chlorobutane $(C_4H_9Cl)$:
Time $(s)$ $0$ $100$ $200$ $300$ $400$ $700$ $800$
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