Predicting SG beforehand.

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60acresbrewclub

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Next year I want to compute the OG of my ciders before I start them, ill check it with the refractometer before I pitch but I'd like to be able to plan it out and hit the numbers.

I know the exact volume of liquid V, the weight of the cider M, and the weight sugar that is added S. Given that the mass of both solute and solvent are conserved, that means the only thing unknown is the increased volume of the solution from the sugar which I know is less than the dry volume of the sugar.
(M+S)/(V+X)

Anyone know how to predict the increase to volume X? I'm going to run an experiment to see if a pattern emerges, I just wanted to ask if there's already an acceptable formula for predicting diluted mass gain.
 

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