Solving for the Safe Combination: pH of Solutions A & C

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To find the safe combination, the pH of solution A, a 0.100 M weak monoprotic acid, must be calculated first, considering the influence of solution B, which has a pH of 10.02. The addition of 15.0 mL of 0.225 M KOH to solution A creates solution C, affecting its pH. The calculations involve determining the equilibrium pH after the neutralization reaction between the acid and the base. The final combination to the safe is derived from the pH values of solutions A and C.
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Captain Kirk, of the Starship Enterprise, has been told by his superiors that only a chemist can be trusted with the combination to the safe containing the dilithium crystals that power the ship. The combination, which consists of four numbers, is the pH of solution A described below, followed by the pH of solution C. (Example: If the pH of solution A is 3.47 and that of solution C is 8.15, then the combination to the safe is 3-47-8-15.) The chemist must find the combination using only the information below. All solutions are at 25EC.

Solution A is 50.0 mL of a 0.100 M solution of the weak monoprotic acid HX.

Solution B is a 0.0500 M solution of the salt NaX. It has a pH of 10.02.

Solution C is made by adding 15.0 mL of 0.225 M KOH to solution A.

What is the combination of the safe?

Hint: You don't need to know the identity of X, except that the X in solution A is the same as in solution B.
 
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