Chapter 1, Problem 85IAE

A tabulation of datalists the following equation for calculating the densities (d) of solutions of naphthalene benzene at 30 °C as a function of the mass percent of naphthalene.

$d\left(g/c{m}^3\right)=\frac{1}{1.153-1.82\times {10}^{-3}\left(\%N\right)+1.08\times {10}^{-6}{\left(\%N\right)}^2}$

Use the equation above to calculate (a) the density of pure benzene at 30 °C; (b) the density of pure naphthalene at 30 °C; (C) the density of a solution at 30 °Cthat is 1.15% naphthalene; (d) the mass percent of naphthalene in a solution that has a density of 0.952 g/cm² at 30 °C. [Hint: For (d), you need to the quadratic formula. See Section A-3 of Appendix A.]