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Update paper.md
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nasserma authored Oct 24, 2024
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Expand Up @@ -168,7 +168,7 @@ $$ x \approx 0.1147 $$

where `x` is the change in $\textrm{CaCO}_3$, in dimensionless units.

The expected equilibrium concentrations for the four species are: $[\textrm{NaCl}] = 0.7706$, $[\textrm{CaCO_3}] = 0.8853$, $[\textrm{Na_2CO_3}] = 0.1147$, and $[\textrm{CaCl_2}] = 0.1147$. Based on the figures below and from direct inspection of the CM simulation results, correct steady-state values are obtained at the reactor outlet.
The expected equilibrium concentrations for the four species are: $[\textrm{NaCl}] = 0.7706$, $[\textrm{CaCO}_3] = 0.8853$, $[\textrm{Na}_2\textrm{CO}_3] = 0.1147$, and $[\textrm{CaCl}_2] = 0.1147$. Based on the figures below and from direct inspection of the CM simulation results, correct steady-state values are obtained at the reactor outlet.

![Input/Output Concentrations for NaCl.](images/system_response_NaCl.pdf){ width=49% } ![Input/Output Concentrations for CaCO3.](images/system_response_CaCO3.pdf){ width=49% }
![Input/Output Concentrations for Na2CO3.](images/system_response_Na2CO3.pdf){ width=49% } ![Input/Output Concentrations for CaCl2.](images/system_response_CaCl2.pdf){ width=49% }
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