The following table shows data from a dehumidification process using aqueous solution of lithium chloride ( (mathrm{LiCl})
Question:
The following table shows data from a dehumidification process using aqueous solution of lithium chloride ( \(\mathrm{LiCl}\) ) in a packed tower. The desiccant leaving the dehumidifier is passed through another packed tower for regeneration. For the regeneration process, it is known that the rate of evaporation of water as a function of the concentration \(X\left(\mathrm{~kg}_{\text {LicL }} / \mathrm{kg}_{\text {sol }}\right)\) and temperature \(T\left({ }^{\circ} \mathrm{C}\right)\) of the desiccant is given by the following equation:
\[ m_{\text {evap }}=\left(a_{0}+a_{1} T+a_{2} T^{2}\right)+\left(b_{0}+b_{1} T+b_{2} T^{2}\right) X+\left(c_{0}+c_{1} T+c_{2} T^{2}\right) X^{2}(\mathrm{~g} / \mathrm{s}) \]
where
\[ \begin{aligned} & a_{0}=285077, \quad b_{0}=-1658652, \quad c_{0}=2412282 \\ & a_{1}=-8992, \quad b_{1}=52326, \quad c_{1}=-76112, \text { and } \\ & a_{2}=70.88, \quad b_{2}=-412, \quad c_{2}=600 \end{aligned} \]
Find the temperature to which a flat-plate collector must raise the temperature of the desiccant for the regeneration process. Assume that the flow rate of liquid desiccant in both processes (dehumidification, regeneration) is the same.
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