What is the activity coefficient of a solution of {\mathrm{CuSO}}_{4} of concentration 10^{-2}\,{\mathrm{mol}}\,\mathrm{d}\mathrm{m}^{-3}?
Again, we start by saying that I = 4 × c, so I = 4 × 10^{-2}\,{\mathrm{mol}}\,\mathrm{d}\mathrm{m}^{-3}. Inserting values into Equation (7.34):
\log_{10}\gamma_{\pm}=-\frac{0.509\mid2\times-2\mid\sqrt{4\times10^{-2}}}{1+\sqrt{4\times10^{-2}}}
\log_{10}\gamma\pm=-\frac{A|z^{+}z^{-}|\sqrt{I}}{1+b\sqrt{I}} (7.34)
\log_{10}\gamma_{\pm}=-{\frac{0.4072}{1+0.2}}
\log_{10}\gamma_{\pm}=-0.3393
\gamma_{\pm}=10^{-0.3383}
so
\gamma_{\pm}=0.458