If you mix 20.0 mL of a 3.00 M sugar solution with 30.0 mL of a 6.38 M sugar solution, you will end up with a sugar solution of ______ M

Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:

molarity= number of moles÷ volume

Molarity is expressed in units [tex]\frac{moles}{L}[/tex].

This case

In this case, you mix 20.0 mL (0.02 L) of a 3.00 M sugar solution with 30.0 mL (0.03 L) of a 6.38 M sugar solution. To know the concentration of the sugar solution, you need to find the total moles of sugar solution from the mixtures as follow:

0.02 L× 3 M= 0.06 moles of sugar.
0.03 L× 6.38 M= 0.1914 moles of sugar.
total moles of sugar solution= 0.06 moles + 0.1914 moles= 0.2514 moles.

Now, the total volume of the solution is calculated adding the volume of the two solutions:

total volume= 20 mL + 30 mL= 50 mL= 0.05 L

Replacing the values inf the definition of molarity:

molarity= 0.2514 moles÷ 0.05 L

Solving:

molarity= 5.028 M

Finally, the final sugar solution has a concentration of 5.028 M.

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