Question

In the laboratory, a student dilutes 19.4 mL of a 10.5 M hydroiodic acid solution to a total volume of 200.0 mL. What is the concentration of the diluted solution?

Answer 1

Answer: To calculate the concentration of the diluted hydroiodic acid solution, we can use the principle of dilution, which states that the moles of solute before and after dilution remain the same. We can use the formula:

C1V1 = C2V2

where:

C1 = initial concentration of the hydroiodic acid solution (in M)

V1 = initial volume of the hydroiodic acid solution (in mL)

C2 = final concentration of the diluted hydroiodic acid solution (in M)

V2 = final volume of the diluted hydroiodic acid solution (in mL)

Given data:

C1 = 10.5 M

V1 = 19.4 mL

V2 = 200.0 mL

First, let's convert the volumes to liters:

V1 = 19.4 mL / 1000 mL/L = 0.0194 L

V2 = 200.0 mL / 1000 mL/L = 0.2000 L

Now, we can calculate the concentration of the diluted solution (C2):

C1V1 = C2V2

10.5 M * 0.0194 L = C2 * 0.2000 L

C2 = (10.5 M * 0.0194 L) / 0.2000 L

C2 = 1.020 M

So, the concentration of the diluted hydroiodic acid solution is approximately 1.020 M.