A student titrates a 25.00 mL sample of HCl. If 20.50 mL of 0.175 M of KOH is required to reach the end point, what is the concentration of the HCl?

25.0 mL HCl x 1L/1000 mL x 0.175 M/1 L = 0.004375 mol HCl

0.004375 mol HCl/20.50 mL KOH x 1000 mL/1 L = 0.213 M HCl

(I'm thinking maybe I have the 20.50 mL or KOH and the 25.0 mL HCl in the wrong places, they need to be switched?)

You have it messed up. Learn to do it this way.

NormalityAcid=NormalBAse
If you don't know how to convert M to N, learn that. In this case, they are the same.

NormalityHCL*volumeAcit=.175*20.50
MolarityHCL=.175*20.5ml*M/25.0ml
and you have it. it is not your answer above.

To determine the concentration of the HCl solution, we can rearrange the formula and correct the calculations as follows:

First, let's calculate the number of moles of KOH used in the titration using the volume and concentration provided:

20.50 mL KOH x 0.175 mol/L = 3.5875 mmol KOH

Since HCl and KOH react in a 1:1 ratio, the number of moles of HCl in the titrated solution is also 3.5875 mmol.

Now, let's calculate the concentration of the HCl solution using the volume of the HCl solution titrated:

25.0 mL HCl x 0.001 L/mL = 0.025 L HCl

Concentration of HCl = 3.5875 mmol / 0.025 L = 143.5 mmol/L

Converting from mmol/L to Molar (M) units:

143.5 mmol/L = 0.1435 M

Therefore, the concentration of the HCl solution is 0.1435 M.

To determine the concentration of HCl, you need to use the concept of stoichiometry in a titration process. Here's how you can calculate it step by step:

1. Convert the volume of HCl solution used (25.00 mL) to liters:
25.00 mL * (1 L / 1000 mL) = 0.02500 L

2. Calculate the number of moles of KOH used:
20.50 mL * (0.175 mol/L) = 0.0035875 mol KOH

3. Since the balanced equation for the reaction between HCl and KOH is 1:1, the number of moles of HCl is the same as KOH.

4. Calculate the concentration of HCl:
Concentration of HCl = Moles of HCl / Volume of HCl

Concentration of HCl = 0.0035875 mol / 0.02500 L = 0.1435 M

Therefore, the concentration of the HCl solution is 0.1435 M.

It seems there was a calculation error in your provided solution, as you converted the moles of HCl to grams instead of liters. Additionally, switching the volumes of HCl and KOH would result in an incorrect calculation.