Polar aprotic solvent sn2 rate

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In a Finkelstein rxn, if more acetone is added so that the total volume of the solution is doubled, would the reaction be faster or slower and by how much?

Polar aprotic solvents (like acetone) increase the rate of SN2 reactions by dissolving the ionic nucleophile and yet not solvating the nucleophile by H-bonding.

k = [substrate] [nucleophile]

so would the reaction increase by twice as much?
 
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Well, look at your equation for k, what changes by doubling the amount of solvent?