Q63 / 180 · AIIMS 2001 · Chemistry

A solution with $\mathrm{pH}=2$ is more acidic than one with a $\mathrm{pH}=6$, by a factor of

  • A
    4000
  • B
    5000
  • C
    8000
  • Correct answer
    D
    10000

Solution

$$ \begin{aligned} & \text { } \mathrm{pH}=-\log \left[\mathrm{H}^{+}\right] \\ & \Rightarrow \mathrm{pH}=2 \Rightarrow\left[\mathrm{H}^{+}\right] \text {for } \mathrm{pH}=2 \text { is } 10^{-2} \\ & \mathrm{pH}=6 \Rightarrow\left[\mathrm{H}^{+}\right] \text {for } \mathrm{pH}=6 \text { is } 10^{-6} \\ & \Rightarrow \quad \frac{10^{-2}}{10^{-6}}=10^4=10,000 \\ & \end{aligned} $$

Hence, the correct answer is option: 'D'.

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