 Solution

Let $c_e$ be the measured mass concentration of element $e$, $c_{e,b}$ its blank concentration, $V$ the leachate volume, $f_e$ the element's mass fraction in the original glass, and $S$ the exposed glass surface area. For one closed test, the normalised elemental release isIf concentration is in $\mathrm{g}{\mathrm{L}}^{-1}$, volume in litres and area in square metres, $N{L}_e$ is in $\mathrm{g}{\mathrm{m}}^{-2}$ of glass-equivalent release. Dividing by $f_e$ removes the trivial difference caused by loading different amounts of the measured element; dividing by $S$ removes the first-order geometrical scale difference. Normalising only by initial element content or reporting raw solution concentration does not accomplish both corrections.

For repeated sampling with leachant replacement, use cumulative released mass: add the mass removed in all earlier aliquots to the mass present in the final remaining solution, with the corresponding blank correction. A flow-through experiment instead integrates $Q(t)[c_{e,\mathrm{out}}(t)-c_{e,\mathrm{in}}(t)]$ over time. State how surface area was determined and whether it is held at its initial value in the reported normalisation; cracks, fines and alteration can change the genuinely reactive area.

Compare $N{L}_e(t)$ for several constituents. In congruent glass dissolution, the different element-normalised curves coincide, provided the released elements remain in solution. Preferential early alkali release can indicate ion exchange, whereas lower dissolved silicon or actinide release can reflect an alteration layer, sorption or secondary-phase precipitation. boron is often useful as a relatively mobile dissolution tracer, but not if the leachant contains a large boron background or if it is itself retained. A low aqueous concentration of one constituent is therefore not automatically a low glass-dissolution rate.

A near-linear $N{L}_e(t)$ interval gives an approximately constant normalised elemental release rate. A square-root time dependence can be consistent with diffusion-limited transport, and decreasing slopes can indicate saturation or a protective alteration layer; no one curve shape proves a unique mechanism. Compare solution inventories with the altered solid by microscopy, composition and phase analysis. Differences in pH, temperature, leachant composition, duration and surface-area-to-volume ratio remain even after this mass-and-area normalisation. Careful background subtraction and control of solution conditions are experimentally consequential, as demonstrated in primary flow-through measurements.^[ref]