Repeat Problem 15.D27, but bulb 2 at \(\mathrm{z}=\delta\) contains \(\mathrm{y}_{\mathrm{air}}=0.610, \mathrm{y}_{\mathrm{H} 2}=0.010\), and \(\mathrm{y}_{\mathrm{NH} 3}=0.380\).

Problem 15.D27

This problem can be solved analytically or with a spreadsheet. Two identical large glass bulbs are filled with gases and connected by a capillary tube that is \(\delta=0.0090\) \(\mathrm{m}\) long. Bulb 1 at \(\mathrm{z}=0\) contains the following mole fractions: \(\mathrm{y}_{\mathrm{air}}=0.620, \mathrm{y}_{\mathrm{H} 2}=\) 0.380 , and \(\mathrm{y}_{\mathrm{NH} 3}=0.000\). Bulb 2 at \(\mathrm{z}=\delta\) contains \(\mathrm{y}_{\text {air }}=0.620, \mathrm{y}_{\mathrm{H} 2}=0.000\), and \(\mathrm{y}_{\mathrm{NH} 3}\) \(=0.380\). Operation is at pseudo- (or quasi-) steady state. The temperature is uniform at \(273 \mathrm{~K}\). Diffusivity values at \(1.0 \mathrm{~atm}\) and \(273 \mathrm{~K}\) are \(D_{\text {air-H2 }}=0.611, D_{\text {air-NH3 }}=\) 0.198 , and \(D_{\mathrm{H} 2-\mathrm{NH} 3}=0.748 \mathrm{in} \mathrm{cm}^{2} / \mathrm{s}\). Assume the gases are ideal. Estimate the fluxes of the three components using the difference equation formulation of the MaxwellStefan method at a uniform pressure of \(3.5 \mathrm{~atm}\).