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Which of the following solutions will have the lowest pH, assuming complete dissociation?Remember: pH = -log10[H3O+(aq)], pOH = -log10[OH-(aq)] and pH + pOH = 14.00Group of answer choices0.8 M solution of Mg(OH)21 M solution of HNO30.3 M solution of H2SO41.4 M solution of CsOH

Question

Which of the following solutions will have the lowest pH, assuming complete dissociation?Remember: pH = -log10[H3O+(aq)], pOH = -log10[OH-(aq)] and pH + pOH = 14.00Group of answer choices0.8 M solution of Mg(OH)21 M solution of HNO30.3 M solution of H2SO41.4 M solution of CsOH

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Solution

The pH of a solution is determined by the concentration of hydronium ions [H3O+] in the solution. The lower the pH, the higher the concentration of hydronium ions, and thus the more acidic the solution is.

Let's calculate the pH for each solution:

  1. 0.8 M solution of Mg(OH)2: This is a basic solution because Mg(OH)2 is a base. It will dissociate into Mg2+ and 2OH-. The concentration of OH- ions will be 2*0.8 = 1.6 M. We can calculate the pOH first using the formula pOH = -log10[OH-] = -log10(1.6) ≈ 0.20. Then, we can find the pH using the formula pH + pOH = 14.00, so pH = 14.00 - pOH = 14.00 - 0.20 = 13.80.

  2. 1 M solution of HNO3: This is an acidic solution because HNO3 is a strong acid. It will dissociate into H+ and NO3-. The concentration of H+ ions will be 1 M. We can calculate the pH using the formula pH = -log10[H+] = -log10(1) = 0.

  3. 0.3 M solution of H2SO4: This is an acidic solution because H2SO4 is a strong acid. It will dissociate into 2H+ and SO4 2-. The concentration of H+ ions will be 2*0.3 = 0.6 M. We can calculate the pH using the formula pH = -log10[H+] = -log10(0.6) ≈ 0.22.

  4. 1.4 M solution of CsOH: This is a basic solution because CsOH is a base. It will dissociate into Cs+ and OH-. The concentration of OH- ions will be 1.4 M. We can calculate the pOH first using the formula pOH = -log10[OH-] = -log10(1.4) ≈ 0.15. Then, we can find the pH using the formula pH + pOH = 14.00, so pH = 14.00 - pOH = 14.00 - 0.15 = 13.85.

So, the 1 M solution of HNO3 will have the lowest pH, making it the most acidic solution.

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