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Chapter 13: Problem 22

Solution A has a pH of 12.32. Solution B has \(\left[\mathrm{H}^{+}\right]\) three times as large as that of solution \(A\). Solution \(C\) has a \(\mathrm{pH}\) half that of solution \(\mathrm{A}\). (a) What is \(\left[\mathrm{H}^{+}\right]\) for all three solutions? (b) What is the \(\mathrm{pH}\) of solutions \(\mathrm{B}\) and \(\mathrm{C}\) ? (c) Classify each solution as acidic, basic, or neutral.

Short Answer

Expert verified
Question: Calculate the H+ concentration for all three solutions, the pH of solutions B and C, and classify each solution as acidic, basic, or neutral. Answer: Step 1: Calculate H+ concentration for solution A H+(A) = 10^(-12.32) Step 2: Calculate H+ concentration for solution B H+(B) = 3 × H+(A) Step 3: Calculate H+ concentration for solution C pH(C) = 0.5 × pH(A) H+(C) = 10^(-pH(C)) Step 4: Calculate pH for solutions B and C pH(B) = -log[H+(B)] pH(C) = -log[H+(C)] Step 5: Classify the solutions as acidic, basic, or neutral Based on the calculated pH values, classify solutions A, B, and C as acidic (pH < 7), neutral (pH = 7), or basic (pH > 7).

Step by step solution

01

Calculate H+ concentration for solution A

Using the provided pH value for solution A, we can calculate the H+ concentration: pH = -log[H+] 12.32 = -log[H+(A)] To find H+(A), we take the inverse log of both sides or 10^(-pH): H+(A) = 10^(-12.32)
02

Calculate H+ concentration for solution B

We are given that the H+ concentration of solution B is three times as large as that of solution A: H+(B) = 3 × H+(A)
03

Calculate H+ concentration for solution C

We are given that the pH of solution C is half that of solution A: pH(C) = 0.5 × pH(A) Using the relationship between pH and H+: pH(C) = -log[H+(C)] Calculating the H+ concentration for solution C using the inverse log formula: H+(C) = 10^(-pH(C))
04

Calculate pH for solutions B and C

Now that we have the H+ concentrations for solutions B and C, we can find their pH values using the same relationship: pH = -log[H+]
05

Classify the solutions as acidic, basic, or neutral

We can classify the solutions based on their pH values: - If pH < 7, the solution is acidic. - If pH = 7, the solution is neutral. - If pH > 7, the solution is basic. Using the pH values calculated in the previous steps, we can classify solutions A, B, and C.

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