Specific Heat of Liquid ${\mathrm{He}}^3$/${\mathrm{He}}^4$ Mixtures near the Junction of the $\lambda$ and Phase-Separation Curves. II

Measurements of the molar specific heat $c_{P,x}$ of liquid ${\mathrm{He}}^3$/${\mathrm{He}}^4$ mixtures at saturated vapor pressure near the junction of the $\lambda$ and phase-separation curves reported in an earlier paper have been used to calculate values of ${\left(\frac{\partial s}{\partial T}\right)}_{P,x}=\frac{c_{P,x}}{T}$, ${\left(\frac{\partial \phi }{\partial T}\right)}_{P,x}=-{\left(\frac{\partial s}{\partial x}\right)}_{P,T}$, $s$, and $\phi -{\phi }_0$ at saturated vapor pressure throughout the junction region. Here $\phi$ is the difference ${\mu }_3-{\mu }_4$ between molar chemical potentials, $x$ is the mole fraction of ${\mathrm{He}}^3$ present, and the subscript 0 denotes the value of a quantity at the junction. Comparisons of ${\left(\frac{\partial s}{\partial T}\right)}_{P,x}$ and ${\left(\frac{\partial \phi }{\partial T}\right)}_{P,x}$ with their respective upper bounds at the $\lambda$ curve ${\left(\frac{\mathrm{ds}}{\mathrm{dT}}\right)}_{P,\lambda }+{\left(\frac{d\phi }{\mathrm{dT}}\right)}_{P,\lambda }{\left(\frac{\mathrm{dx}}{\mathrm{dT}}\right)}_{P,\lambda }$ and ${\left(\frac{d\phi }{\mathrm{dT}}\right)}_{P,\lambda }$ suggest but do not require that ${\left(\frac{\partial s}{\partial T}\right)}_{P,\phi }=\frac{c_{P,\phi }}{T}$ diverge all along the $\lambda$ curve, as our results indicate that it does at the junction. Our results are consistent with the following asymptotic behaviors at the junction: ${\left(\frac{\partial s}{\partial T}\right)}_{P,x,0\mathrm{}}-{\left(\frac{\partial s}{\partial T}\right)}_{P,x}\sim {(T-T_0)}^1$ at $x=x_0$ for $T>\mathrm{}{T}_0$;