For the linear part of the moisture absorption curve for a temperature of \(77^{\circ} \mathrm{C}\) in Figure 5.12, and assuming a specimen thickness of \(2.54 \mathrm{~mm}\), use the relevant analysis from ASTM D5229 to estimate the through-the-thickness diffusivity \(D_{z}\).

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FIGURE 5.12 Moisture content (wt.%) 2.0 1.8 1.6 1.4 49C 1.2 10 1.0 0.8 0.6 0.4 0.2 77C 2 4 6 8 10 12 14 16 Time1/2 (days) 1/2 23C