Team:Oxford/how much can we degrade
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As one of the products of our reaction is HCl, we have been able to calculate the pH change of the system. However, since a deviation of neutral pH is unfavourable for the bacteria we are working with, we have investigated the effect of using buffers in the aqueous part of our system. | As one of the products of our reaction is HCl, we have been able to calculate the pH change of the system. However, since a deviation of neutral pH is unfavourable for the bacteria we are working with, we have investigated the effect of using buffers in the aqueous part of our system. | ||
<br><br> | <br><br> | ||
- | Derivation of the Van Slyke | + | Derivation of the Van Slyke equation: |
<br><br> | <br><br> | ||
To simplify calculations, assumptions that HCl completely dissociates, and that the system volume = 1L (allowing concentration and number of moles to be treated interchangeably) are made. | To simplify calculations, assumptions that HCl completely dissociates, and that the system volume = 1L (allowing concentration and number of moles to be treated interchangeably) are made. | ||
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<img src="https://static.igem.org/mediawiki/2014/a/a5/Oxford_Jack_eqn8.png" style="float:left;position:relative; width:50%; margin-left:0%; margin-right:50%;margin-bottom:2%;" /> | <img src="https://static.igem.org/mediawiki/2014/a/a5/Oxford_Jack_eqn8.png" style="float:left;position:relative; width:50%; margin-left:0%; margin-right:50%;margin-bottom:2%;" /> | ||
+ | Which can be generalized for multi-buffer systems: <h1>(1.9) Van Slyke equation</h1> | ||
+ | <img src="https://static.igem.org/mediawiki/2014/6/61/Oxford_Jack_eqn9.png" style="float:left;position:relative; width:50%; margin-left:0%; margin-right:50%;margin-bottom:2%;" /> | ||
+ | |||
+ | <li>β = buffer capacity</li> | ||
+ | <li>n = number of equivalents of strong acid added (per L solution) – we have this as a function of t: approximately addition at a constant rate.</li> | ||
+ | <li>K_(A_i) = K_A of component buffer i</li> | ||
+ | <li>K_W = ionic product of water, 10^(-14)</li> | ||
+ | <li>C_i = concentration of component buffer i</li> | ||
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