How many moles of solute would you need to add to 500mL solution to get a
molarity of 3.7 mol/L?

7.4 moles solute

Explanation:

From definition of Molarity (M) = moles solute (n)/volume of solution in Liters(V)

=> moles solute (n) = Molarity (M) x Volume (L) = (3.7 moles/L)(0.500L) = 7.4 moles solute

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