Chapter 13, Problem 82QP

The elemental analysis of an organic solid extracted from gum arabic (a gummy substance used in adhesives, inks, and pharmaceuticals) showed that it contained 40.0 percent C, 6.7 percent H, and 53.3 percent O. A solution of 0.650 g of the solid in 27.8 g of the solvent diphenyl gave a freezing-point depression of $\text{ 1}\text{.56°C}$. Calculate the molar mass and molecular formula of the solid. $(K_{\text{f}}$ for diphenyl is $8.\text{00°C}/m$.)