What is the molarity of a solution made by diluting 50.0 mL of a 5.5M solution to a volume of 160.0 mL

The molarity (M) of a solution is determined by the formula M1V1 = M2V2, where M1 is the initial molarity, V1 is the initial volume, M2 is the final molarity, and V2 is the final volume.

Step 1: Identify the initial molarity (M1) and volume (V1). In this case, M1 is 5.5M and V1 is 50.0 mL.

Step 2: Identify the final volume (V2). In this case, V2 is 160.0 mL.

Step 3: Substitute the known values into the formula and solve for the final molarity (M2).

So, 5.5M * 50.0 mL = M2 * 160.0 mL

This simplifies to 275 = 160M2

Finally, solve for M2 by dividing both sides of the equation by 160:

M2 = 275 / 160 = 1.71875 M

So, the molarity of the solution after dilution is 1.71875 M.