Errors in mass transfer coefficients obviously affect the value of (mathrm{H}_{mathrm{G}}) and hence the height of the
Question:
Errors in mass transfer coefficients obviously affect the value of \(\mathrm{H}_{\mathrm{G}}\) and hence the height of the packed section. These errors also affect calculation of \(\mathrm{y}_{\mathrm{AI}}\) and thus calculation of \(\mathrm{n}_{\mathrm{G}}\) and the height of the packed section. Return to the calculation in Example 16-1. We want to calculate the change in \(\mathrm{y}_{\mathrm{AI}}-\mathrm{y}_{\mathrm{A}}\) and in \(1 /\left(\mathrm{y}_{\mathrm{AI}}-\mathrm{y}_{\mathrm{A}}\right)\). We will do this calculation for a value of \(y_{A}=0.8\). Assume that the equilibrium values given in Table 2-1 follow a straight line between \(\mathrm{x}=0.7472\) and \(\mathrm{x}=\) 0.8943 , and determine the equation for this straight line.
Example 16-1
Table 2-1
a. Calculate the range of values of \(1 /\left(y_{\mathrm{AI}}-\mathrm{y}_{\mathrm{A}}\right)\) for a value of \(\mathrm{y}_{\mathrm{AI}}=\) 0.8 if \(\mathrm{H}_{\mathrm{G}}\) varies by \(\pm 24.4 \%\) compared to the \(0.4054 \mathrm{~m}\) used in Example \(16-1\), but \(\mathrm{H}_{\mathrm{L}}\) does not vary from the \(0.253-\mathrm{m}\) value. Then, assuming the percent of error in \(1.0 /\left(\mathrm{y}_{\mathrm{AI}}-\mathrm{y}_{\mathrm{A}}\right)\) is constant throughout the enriching section, estimate range in values of \(n_{G}\) and in height of packing (remember that \(\mathrm{H}_{\mathrm{G}}\) varies).
Example 16-1
b. Calculate the range of values of \(1 /\left(y_{A I}-y_{A}\right)\) for a value of \(y_{A}=\) 0.8 if both \(\mathrm{H}_{\mathrm{G}}\) and \(\mathrm{H}_{\mathrm{L}}\) vary by \(\pm 24.2 \%\) compared to \(0.4054 \mathrm{~m}\) and \(0.253 \mathrm{~m}\) used in Example 16-1 for \(\mathrm{H}_{\mathrm{G}}\) and \(\mathrm{H}_{\mathrm{L}}\), respectively. Then, assuming the percent of error in \(1.0 /\left(\mathrm{y}_{\mathrm{AI}}-\mathrm{y}_{\mathrm{A}}\right)\) is constant throughout the enriching section, estimate the range in values of \(\mathrm{n}_{\mathrm{G}}\) and in the height of packing (remember that \(\mathrm{H}_{\mathrm{G}}\) varies).
Example 16-1
Step by Step Answer:
Separation Process Engineering Includes Mass Transfer Analysis
ISBN: 9780137468041
5th Edition
Authors: Phillip Wankat