MCQ
Which function of $[X]$ plotted against time, will give straight line for a second order reaction? $X \to $ Product
  • A
    $[X]$
  • B
    $[X]^2$
  • C
    $\ln\,[X]$
  • $\frac{1}{[X]}$

Answer

Correct option: D.
$\frac{1}{[X]}$
d
For second order reaction, $-\frac{d x}{d t}=k[X]^{2}$

$\int_{x_{0}}^{x}-\frac{d x}{\mid X]^{2}}=\int_{0}^{t} k d t$

$=>\frac{1}{[X]}-\frac{1}{\left[X_{0}\right]}=k t$

or $\frac{1}{[X]}=k t+\frac{1}{\left[X_{0}\right]}$

Hence plot of $\frac{1}{X}$ against time will be a straight line

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