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, $-\frac{d x}{d t}=k[X]^{2}$
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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