High-precision standard solar models are used to investigate systematically the implications of current uncertainties in the interior radiative opacities for both the derivation of the helium content Y and the modeling of p-mode oscillation frequencies of the sun. The differences between the Cox-Stewart solar opacities and the Los Alamos Opacity Library solar opacities are found to be due principally to differences in the absorption coefficients themselves. The uncertainty of Ne in the solar chemical composition is shown to result in only a small uncertainty in Y. In the standard model framework, the uncertainty in Y is between 0.29 and 0.27. Only a small dependence of the asymptotic spacing of p-modes on chemical composition is detected. The effects of dependence on Y of the adiabatic exponent Gamma(1) and of the density of the structure of the outer layers is not monotonic because both these variables depend on the complex interplay of H and He ionization. The greatest sensitivity of sound speed to chemical composition is found below the surface convection zone. 18 refs.