Question

Interpolate in Table 8-1 to find the activity coefficient of ${\mathbf{H}}^{\mathbf{+}}$when $\mathbf{\mu }\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{030}\mathbf{M}$

Short answer

The activity coefficient of ${\mathrm{H}}^{+}$when$\mathrm{\mu }=0.030\mathrm{M}$ would be$0.887\mathrm{M}$

Step-by-step solution

Definition of an Activity Coefficient of an ion.

An activity coefficient is a factor used to account for deviations from ideal behavior in a solution.

Here we will interpolate in Table 8-1 in order to find the activity coefficient of ${\mathrm{H}}^{+}$whenrole="math" localid="1654774428963" $\mathrm{\mu }=0.030\mathrm{M}$

Interpreting the activity coefficient of H+when μ=0.030 M

From the table 8-1 we can see the ionic strength is halfway between the values of 0.01M and 0.05M

$$\begin{gathered} \mathrm{M}=\frac{1}{2}\left(0.914+0.860\right) \\ \mathrm{M}=0.887\mathrm{M} \end{gathered}$$

Therefore, the activity coefficient would be$0.887\mathrm{M}$