I got a sodastream and one of my kids wants to make our own hard seltzers with it. Easy enough- vodka, flavoring and water. But hard seltzer is typically 5% alcohol. Instead of sitting down and doing the math myself, I first decided to ask Chat GPT:
Kyle wrote:If I have vodka which is 40% alcohol, how much water and how much vodka do I need to mix to end up with 1 liter of 5% alcohol?
Chat GPT wrote:To make 1 liter of 5% alcohol solution from 40% alcohol vodka, you will need to add a certain amount of water and vodka.
Let's assume that you add 'x' amount of water and 'y' amount of vodka to make the final solution.
The total volume of the final solution is 1 liter, so we can write:
x + y = 1 (Equation 1)
In the final solution, the total amount of alcohol will be equal to:
0.05 x 1 liter = 0.05 liters or 50 ml
To get 50 ml of alcohol, we can set up the following equation:
0.4y = 0.05 (Equation 2)
Simplifying this equation, we get:
y = 0.05 / 0.4 = 0.125 liters or 125 ml
Now that we know the amount of vodka required, we can substitute y = 0.125 liters into Equation 1 and solve for x:
x + 0.125 = 1
x = 0.875 liters or 875 ml
Therefore, to make 1 liter of 5% alcohol solution, you need to mix 875 ml of water with 125 ml of 40% alcohol vodka.
Yes! Look, I know I could have sketched this out and figured it out myself. But just look at that! And it showed its work! Very impressive.
