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Ch.17 - Acids and Bases

Chapter 17, Problem 57c

For each strong acid solution, determine [H3O+], [OH-], and pH. c. a solution that is 0.052 M in HBr and 0.020 M in HNO3

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Hey everyone, we're asked to calculate the ph the concentration of our hydro knee um ion and the concentration of our hydroxide ion for a solution that is 0.26 molar hydrochloric acid and 0.18 molar hydrochloric acid. Now, when we look at these two acids we can see that these are both strong acids and we know that strong acids disassociate completely. And because they dissociate completely, we can easily find the concentration of our hydro ni um ion which is going to be the concentration of our hydrochloric acid initially plus the concentration of a hydrochloric acid initially. So plugging in these values, we have 0.26 Mohler plus 0.18 moller. And this will get us to a total of 0.44 moller. And this will be the concentration of our hydro ni um ion. Now let's go ahead and calculate the concentration of our hydroxide ion to do so we can take our K. W. Which is one point oh times 10 to the negative 14 and divided by the concentration of our hydro ni um ion. So plugging in these values, we get one point oh times 10 to the negative 14, divided by 0.44 moller. And this gets us to a concentration of 2.27 times 10 to the negative 13 moller. Which is going to be our final answer. And finally they want us to calculate the P. H. To calculate the ph we're going to take the negative log of the concentration of our hydro ni um ion. So, plugging in that value, we get the negative log of 0.044, Which gets us to a p. h. 1.36. And this is going to be our final answer as well. Now I hope this made sense and let us know if you have any questions.