A \(60.0-\mathrm{mL} 0.513 \mathrm{M}\) glucose \(\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)\) solution is mixed with \(120.0 \mathrm{~mL}\) of \(2.33 \mathrm{M}\) glucose solution. What is the concentration of the final solution? Assume the volumes are additive.

Short Answer

Expert verified
The concentration of the glucose solution after mixing is 1.724 M.

Step by step solution

01

Calculate Moles in Each Solution

The concentration of a solution tells us how many moles of solute are present in every liter of solution. By multiplying the volume of solution (converting it from milliliters to liters) by the concentration, the number of moles of glucose in each solution can be calculated. For the 60.0 mL of 0.513 M glucose solution: moles = 0.060 L * 0.513 mol/L = 0.03078 mol and For the 120.0 mL of 2.33 M glucose solution: moles = 0.120 L * 2.33 mol/L = 0.2796 mol
02

Calculate Total Moles and Total Volume

The total number of moles of glucose is the sum of the moles in each solution (0.03078 mol + 0.2796 mol = 0.31038 mol). The total volume of the mixture is also the sum of the volumes of each solution (60 ml + 120 ml = 180 ml = 0.18 L).
03

Calculate Final Concentration

The concentration of the final solution can now be calculated by dividing the total number of moles of glucose by the total volume of the mixture in liters: concentration = moles/volume = 0.31038 mol / 0.18 L = 1.724 M

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