Fermentation of glucose
It seems to me like the task description is wrong, like if they maybe do not consider the decrease of mass of the liquid. As the volume increase due lower density is well compensated by the mass decrease.
If I do not count with decrease of the solution mass, I can get the final volume $\pu{55 mL}$.
Note the $x$ is the glucose conversion factor. $x-0$ means glucose only, $x=1$ means ethanol only.
&quot;V wrong&quot; means the volume change, that is accounting with density decrease due glucose -&gt; ethanol conversions, but not accounting with mass decrease of the liquid.
$\ce{CO2}$ calculations are done by Mathew, no need to doubling that.
$\begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline
\text{x} &amp; \text{H2O[g]} &amp; \text{glu[g]} &amp; \text{eth[g]} &amp;\text{CO2[g]} &amp; \text{liq[g]} &amp; \text{Eth w/w%} &amp; \text{ $\rho$ g/mL} &amp; \text{ V[mL]} &amp; \text{ V[mL] wrong}\\ \hline
0 &amp; 44.0 &amp; 10.00 &amp; 0.00 &amp; 0.00 &amp; 54.00 &amp; 0.00 &amp; 1.080 &amp; 50.00 &amp; 50.00 \\ \hline
0.05 &amp; 44.0 &amp; 9.50 &amp; 0.26 &amp; 0.24 &amp; 53.76 &amp; 0.48 &amp; 1.075 &amp; 50.01 &amp; 50.24 \\ \hline
0.1 &amp; 44.0 &amp; 9.00 &amp; 0.51 &amp; 0.49 &amp; 53.51 &amp; 0.97 &amp; 1.070 &amp; 50.02 &amp; 50.48 \\ \hline
0.15 &amp; 44.0 &amp; 8.50 &amp; 0.77 &amp; 0.73 &amp; 53.27 &amp; 1.46 &amp; 1.065 &amp; 50.04 &amp; 50.72 \\ \hline
0.2 &amp; 44.0 &amp; 8.00 &amp; 1.02 &amp; 0.98 &amp; 53.02 &amp; 1.96 &amp; 1.059 &amp; 50.05 &amp; 50.97 \\ \hline
0.25 &amp; 44.0 &amp; 7.50 &amp; 1.28 &amp; 1.22 &amp; 52.78 &amp; 2.46 &amp; 1.054 &amp; 50.06 &amp; 51.22 \\ \hline
0.3 &amp; 44.0 &amp; 7.00 &amp; 1.53 &amp; 1.47 &amp; 52.53 &amp; 2.96 &amp; 1.049 &amp; 50.07 &amp; 51.47 \\ \hline
0.35 &amp; 44.0 &amp; 6.50 &amp; 1.79 &amp; 1.71 &amp; 52.29 &amp; 3.47 &amp; 1.044 &amp; 50.09 &amp; 51.72 \\ \hline
0.4 &amp; 44.0 &amp; 6.00 &amp; 2.04 &amp; 1.96 &amp; 52.04 &amp; 3.99 &amp; 1.039 &amp; 50.10 &amp; 51.98 \\ \hline
0.45 &amp; 44.0 &amp; 5.50 &amp; 2.30 &amp; 2.20 &amp; 51.80 &amp; 4.51 &amp; 1.034 &amp; 50.11 &amp; 52.24 \\ \hline
0.5 &amp; 44.0 &amp; 5.00 &amp; 2.56 &amp; 2.44 &amp; 51.56 &amp; 5.04 &amp; 1.029 &amp; 50.12 &amp; 52.50 \\ \hline
0.55 &amp; 44.0 &amp; 4.50 &amp; 2.81 &amp; 2.69 &amp; 51.31 &amp; 5.57 &amp; 1.023 &amp; 50.14 &amp; 52.76 \\ \hline
0.6 &amp; 44.0 &amp; 4.00 &amp; 3.07 &amp; 2.93 &amp; 51.07 &amp; 6.10 &amp; 1.018 &amp; 50.15 &amp; 53.03 \\ \hline
0.65 &amp; 44.0 &amp; 3.50 &amp; 3.32 &amp; 3.18 &amp; 50.82 &amp; 6.64 &amp; 1.013 &amp; 50.16 &amp; 53.30 \\ \hline
0.7 &amp; 44.0 &amp; 3.00 &amp; 3.58 &amp; 3.42 &amp; 50.58 &amp; 7.19 &amp; 1.008 &amp; 50.18 &amp; 53.57 \\ \hline
0.75 &amp; 44.0 &amp; 2.50 &amp; 3.83 &amp; 3.67 &amp; 50.33 &amp; 7.74 &amp; 1.003 &amp; 50.19 &amp; 53.85 \\ \hline
0.8 &amp; 44.0 &amp; 2.00 &amp; 4.09 &amp; 3.91 &amp; 50.09 &amp; 8.30 &amp; 0.998 &amp; 50.20 &amp; 54.12 \\ \hline
0.85 &amp; 44.0 &amp; 1.50 &amp; 4.34 &amp; 4.16 &amp; 49.84 &amp; 8.86 &amp; 0.993 &amp; 50.22 &amp; 54.40 \\ \hline
0.9 &amp; 44.0 &amp; 1.00 &amp; 4.60 &amp; 4.40 &amp; 49.60 &amp; 9.43 &amp; 0.987 &amp; 50.23 &amp; 54.69 \\ \hline
0.95 &amp; 44.0 &amp; 0.50 &amp; 4.86 &amp; 4.64 &amp; 49.36 &amp; 10.00 &amp; 0.982 &amp; 50.25 &amp; 54.97 \\ \hline
1 &amp; 44.0 &amp; 0.00 &amp; 5.11 &amp; 4.89 &amp; 49.11 &amp; 10.58 &amp; 0.977 &amp; 50.26 &amp; 55.26 \\ \hline
\end{array}$