I need to prepare the $\pu{1M}$ solution of sodium crotonate, however, I don't have one in lab, but I do have sodium hydroxide and crotonic acid.
Thus, I calculated that for $\pu{100 mL}$ of $\pu{1M}$ solution I need: ~$\pu{4g}$ of $\ce{NaOH}$ and ~$\pu{8.6g}$ of crotonic acid. After preparation of solution (approx $\pu{80 mL}$ of DI water to dissolve the crotonic acid in a beaker, add $\ce{NaOH}$, mix until dissolving, let it cool down, quantitatively transfer a solution into a $\pu{100.0 mL}$ volumetric flask, adjust the volume), the $\mathrm{pH}$ of the final solution is 6.1 (which also stays the same after purging with $N_2$ gas and autoclaving).
To my understanding, the solution of sodium crotonate supposed to have a basic $\mathrm{pH} \ (\gt 7)$ since it is formed by weak crotonic acid (with a $K_\mathrm{a} = 1.97 \times 10^{-5} $, reference) and a strong base. Thus, the rough estimation of $\mathrm{pH}$ should be done according to formula:
$$ \mathrm{pH} = 14 + \lg \left(\sqrt {\frac{K_\mathrm{W} \times C_\text{sodium crotonate}}{K_\mathrm{a}}} \right)\\= 7 + \lg \left(\sqrt {\frac{C_\text{sodium crotonate}}{K_\mathrm{a}}} \right) \\= 7 + \lg \left (\sqrt\frac{1}{1.97 \times 10^{-5}} \right) = 9.35 $$
Which results in a far higher value.
On the other hand, if I suspect the formation of buffer solutions as sodium crotonate + crotonic acid (if there was not enough hydroxide), then the final $pH$ should be estimated according to:
$$ pH = pK_a + \lg \frac{C_{salt}}{C_{acid}} $$ Which roughly estimates 3.8% of unreacted acid in solution. However, even if I arbitrally assume only 0.1% of unreacted acid in solution, the formula results in $pH$ of 7.7, which is anyway higher than I obtained, but still not a 9.35 as should be.
So, my questions are:
- What is the real value of $\pu{1M}$ solution of sodium crotonate supposed to be (like if prepared from salt reagent)?
- I think I should adjust the $\mathrm{pH}$ with $NaOH$, but for what final value? 9.35 or 7.7?
- Are there any verified protocols for preparation such solution (USP / EuP / etc.)?
P.S. I also found paper where sodium crotonate solution was prepared by reacting sodium bicarbonate and crotonic acid followed by adjusting $\mathrm{pH}$ to a final range of 6.7 ... 7.0, but I still don't get why they stopped at $\mathrm{pH}$ of 7, not higher.
P.P.S. As also stated here, the pH "without neglecting the water autoionization" can be estimated by solving this equation: $$ \left\{\begin{matrix} \left [ H^+ \right ] ^3 +\left ( K_a + C_{salt} \right ) \times \left [ H^+ \right ] ^2 - K_w \times \left [ H^+ \right ] - K_w \times K_a = 0 \\ \left [ H^ + \right ] > 0 \end{matrix}\right. $$
However, it results into $ \left [ H^ + \right ] = 4.43847 \times 10 ^{-10} $ and $pH = 9.35$ which is not much different from the previous estimation.