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# Consider the diffusion of oxygen through a low-density polyethylene (LDPE) sheet 15 mm thick. The pressures of oxygen at the two faces are 2000 kPa and 150 kPa, which are maintained constant. Assuming conditions of steady state, what is the diffusion flux [in $\left.\left(\mathrm{cm}^{3} \mathrm{STP}\right) / \mathrm{cm}^{2} \cdot \mathrm{s}\right]$ at 298 K?

Solution

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We will employ the following equation:

\begin{align*} J=\dfrac{P_m\Delta P}{\Delta x} \end{align*}

We need to look up the value for $P_m$ from table $14.6$ on page $572$ which results in $P_m=2.2\times10^{-13}$. Additionally, we'll need the pressures to be in Pascals vice kPa

\begin{align*} J&=\dfrac{(2.2\times10^{-13})(2000000-150000)}{1.5}\\\\ &=\boxed{2.7\times10^{-6}\dfrac{\text{ cm}^3\text{STP}}{\text{cm}^2\text{s}}} \end{align*}

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