(Solved): Physical Chemistry Consider a Zn/Hg amalgam, forming a non-ideal solution where Zn is a non-volatile ...

Consider a $$\mathrm{Zn}/\mathrm{Hg}$$ amalgam, forming a non-ideal solution where $$\mathrm{Zn}$$ is a non-volatile solute, and $$\mathrm{Hg}$$ is a solvent with very low vapour pressure. As a result, it is not practical to determine the activity coefficients $${?}_{\mathrm{Zn}}$$ for $$\mathrm{Zn}$$ using measurements of vapour pressure. Instead, it is more convenient to determine the activity coefficients for $$\mathrm{Zn}$$ by measuring the electromotive forces in batteries with amalgam electrodes (a topic that we'll discuss later in the course). Use the Gibbs-Duhem, and the $${?}_{\mathrm{Zn}}$$ activity coefficients below, to estimate the activity coefficient $${?}_{\mathrm{Hg}}$$ for the solvent $$(\mathrm{Hg})$$ in an amalgam with molar fraction $$x_{\mathrm{Zn}}=0.035$$ :