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You are working in a chemistry laboratory when you come across a bottle which contains an aqueous solution of hydrochloric acid (HCl). Unfortunately, the person who prepared this solution was very sloppy and did not write down any details about the concentration of this solution! Luckily, you have a pH probe handy and you are able to measure the pH as 0.29. Using the value of pH that you measure, what is the concentration of the HCl solution (to 2 decimal places)? Remember: pH = -log10[H3O+(aq)]

Question

You are working in a chemistry laboratory when you come across a bottle which contains an aqueous solution of hydrochloric acid (HCl). Unfortunately, the person who prepared this solution was very sloppy and did not write down any details about the concentration of this solution! Luckily, you have a pH probe handy and you are able to measure the pH as 0.29. Using the value of pH that you measure, what is the concentration of the HCl solution (to 2 decimal places)? Remember: pH = -log10[H3O+(aq)]

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Solution

To find the concentration of the HCl solution, we can use the formula for pH, which is pH = -log10[H3O+(aq)].

The pH of the solution is given as 0.29. We can rearrange the formula to solve for the hydronium ion concentration [H3O+(aq)]:

[H3O+(aq)] = 10^(-pH)

Substitute the given pH value into the formula:

[H3O+(aq)] = 10^(-0.29)

Calculate the value:

[H3O+(aq)] = 0.51286 M

However, in a solution of HCl, the concentration of HCl is equal to the concentration of hydronium ions, because HCl is a strong acid and it dissociates completely in water. Therefore, the concentration of the HCl solution is also 0.51286 M.

Rounded to two decimal places, the concentration of the HCl solution is 0.51 M.

This problem has been solved

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