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Oh no! Immediately after re-labelling the bottle of hydrochloric acid with the correct concentration, you find another unlabelled bottle in you lab! This bottle contains an aqeuous solution of sodium hydroxide which is again not labelled with the concentration. Using your pH probe, you measure the pH of the solution in the bottle as 13.53. From this, calculate the concentration of sodium hydroxide in the bottle (to 2 decimal places). Remember: pH = -log10[H3O+(aq)], pOH = -log10[OH-(aq)] and pH + pOH = 14.00

Question

Oh no! Immediately after re-labelling the bottle of hydrochloric acid with the correct concentration, you find another unlabelled bottle in you lab! This bottle contains an aqeuous solution of sodium hydroxide which is again not labelled with the concentration. Using your pH probe, you measure the pH of the solution in the bottle as 13.53. From this, calculate the concentration of sodium hydroxide in the bottle (to 2 decimal places). Remember: pH = -log10[H3O+(aq)], pOH = -log10[OH-(aq)] and pH + pOH = 14.00

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Solution

To calculate the concentration of sodium hydroxide (NaOH) in the solution, we first need to find the pOH of the solution. We know that pH + pOH = 14.00. So, we can calculate the pOH as follows:

pOH = 14.00 - pH pOH = 14.00 - 13.53 pOH = 0.47

Next, we use the formula for pOH to find the concentration of OH- ions in the solution. The formula is pOH = -log10[OH-(aq)]. We can rearrange this formula to solve for [OH-(aq)]:

[OH-(aq)] = 10^(-pOH) [OH-(aq)] = 10^(-0.47) [OH-(aq)] = 0.334

So, the concentration of sodium hydroxide in the solution is 0.334 M (to 2 decimal places).

This problem has been solved

Similar Questions

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 0.53. 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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