Transport numbers were determined in the pure fused salts, LiNO3, NaNO3, KNO3, and AgNO3 by measuring the volume changes of the material in the electrode compartments which took place during electrolysis of the melt. Transport numbers in the two binary fused salt systems AgNO3-NaNO3 and AgNO3- KNO3 were determined by measuring the volume changes accompanying electrolysis and the concentration changes accompanying electrolysis