Answer:
- The typical pka of a lysine side chain is 10.5
- At pH=7-5 the ratio of deprotonated to protonated lysine is 0.001
Step-by-step explanation:
From literature, we know that the typical pka of a lysine side is 10.3.
Then we use the Henderson-Hasselbalch equation:
![pH=pka+log([A^(-) ])/([HA])](https://img.qammunity.org/2020/formulas/chemistry/college/buanvnmw63rak1rwruil6owlh2k1c4la5k.png)
In this case, [A⁻] is the concentration of deprotonated lysine, and [HA] is the concentration of protonated lysine.
We put the data from the problem in the equation and calculate the ratio of deprotonated to protonated lysine:
![7.5=10.5+log([A^(-) ])/([HA])\\-3.0=log([A^(-) ])/([HA])\\10^(-3.0)=([A^(-) ])/([HA])\\0.001=([A^(-) ])/([HA])](https://img.qammunity.org/2020/formulas/chemistry/college/qn8v0gi61l9hs6q3wyzccrpo6sd94yls8s.png)