Question

Find $\left[\mathrm{OCI}2\right]\mathbf{/}\left[\mathrm{HOCI}\right]$if pH is raised by one unit to 7.20.

Short answer

The ratio $\left[{\mathrm{OCI}}^{-}\right]/\left[\mathrm{HOCI}\right]$of with given Ph is $0.47$

Step-by-step solution

Define the Henderson-Hasselbalch Equation.

The Henderson-Hasselbalch equation describes the link between acid pH and pKa in aqueous solutions (acid dissociation constant). When the concentrations of the acid and its conjugate base, or the base and the corresponding conjugate acid, are known, this equation can be used to predict the pH of a buffer solution.

Calculate the ratio of [OCI-]/[HOCI]with given Ph

Buffer solution is a combination of a weak acid and its conjugate base or a weak base and its conjugate acid.

$$\begin{gathered} \mathrm{pH}6.20 \\ \mathrm{HOCI}??{\mathrm{H}}^{+}+{\mathrm{OCI}}^{-} \\ \mathrm{pH}={\mathrm{pK}}_{\mathrm{a}}+\log \frac{[{\mathrm{OCI}}^{-1}}{\left[\mathrm{HOCI}\right]} \\ 7.20=7.53+\log \frac{\left[{\mathrm{OCI}}^{-1}\right]}{\left[\mathrm{HOCI}\right]} \\ 0.33=\log \frac{[{\mathrm{OCI}}^{-1}}{[{\mathrm{HOCI}}^{-1}} \\ \mathrm{By}\mathrm{taking}\mathrm{antilog}\mathrm{of}0.33 \\ 0.33=\log \frac{[{\mathrm{OCI}}^{-1}}{[{\mathrm{HOCI}}^{-1}} \\ \frac{\left[{\mathrm{OCI}}^{-1}\right]}{\left[\mathrm{HOCI}\right]}=0.47 \end{gathered}$$

Thus, the ratio of $\left[{\mathrm{OCI}}^{-1}\right]/\left[\mathrm{HOCI}\right]$with given Ph is$0.47$