The required amount of DMDHEU solution can be calculated using the formula:
\[
{Required solution (ml)} = \frac{{Desired concentration} \times {Total volume of liquor}}{{Concentration of stock solution}}
\]
Step 1: Calculate the required amount of DMDHEU.
The desired concentration is 70 gpl (grams per liter), which means 70 grams of DMDHEU is required for 1 liter of the liquor.
\[
{Amount of DMDHEU required} = 70 \, {g}
\]
Step 2: Calculate the volume of 50% (w/v) DMDHEU solution needed.
The stock solution is 50% (w/v), meaning there are 50 grams of DMDHEU in 100 mL of solution.
The volume of 50% solution required is:
\[
{Required volume (ml)} = \frac{70 \, {g} \times 100}{50 \, {g}} = 140 \, {ml}
\]
Correct Answer: 140