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A certain salt, MX (containing the \(\mathrm{M}^{+}\) and \(\mathrm{X}^{-}\) ions), is dissolved in water, and the \(\mathrm{pH}\) of the resulting solution is \(7.0 .\) Can you say anything about the strengths of the acid and the base from which the salt is derived?

Short Answer

Expert verified
MX is derived from a strong acid and a strong base.

Step by step solution

01

Identify the Properties of Salt MX

Salt MX is derived from the ionization of acid HX and base MOH. When dissolved in water, it produces M鈦 and X鈦 ions. In this step, we identify that the pH of the solution is neutral (pH = 7).
02

Understand the Neutral pH Condition

For the solution of salt MX to have a pH of 7, the salt must not significantly affect the pH. This occurs when both the conjugate acid (HX) and the base (MOH) are of similar strength. This implies that neither species hydrolyzes significantly in water to change its pH.
03

Analyze the Implications on Acid and Base Strength

Since the pH remains neutral, MX is derived from a strong acid (HX) and a strong base (MOH). Strong acids and strong bases completely dissociate in water, producing ions that do not affect the pH of the water after neutralization.
04

Conclusion on the Strength of Acid and Base

Given that the pH of the solution remains neutral at 7, the acid (HX) and base (MOH) from which MX is derived must both be strong. This ensures complete ionization in water and results in neutralization without altering the pH.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Neutralization
Neutralization is a core concept in acid-base chemistry, referring to the reaction between an acid and a base to form a salt and water. In this process, the acidic hydrogen ions ( H鈦 ) from the acid combine with the hydroxide ions ( OH鈦 ) from the base to form water ( H鈧侽 ). The remaining ions form a salt.

When the original question talks about the salt MX dissolved in water with a pH of 7, it refers to a situation where the neutralization process is perfect. This occurs when the number of hydrogen ions equals the number of hydroxide ions, leading to neutral conditions with excess ions forming the salt.
  • Complete neutralization results in a neutral pH of 7 under standard conditions.
  • Neutralization reactions are typically exothermic, releasing heat.
The strength of the original acid and base determines whether the neutralization will completely neutralize the solution to a pH of 7.
pH
The pH scale measures the acidity or basicity of a solution. It ranges from 0 to 14, where 7 is considered neutral. A pH value below 7 indicates an acidic solution, while a pH above 7 indicates a basic one.

In the context of our exercise, a solution with pH 7 suggests perfect neutralization without any excess acidic or basic ions. This occurs specifically when a strong acid and a strong base mix. The pH of a salt solution like MX, remaining at 7, verifies that both the acid and base were strong.
  • Low pH values mean high concentration of H鈦 ions.
  • High pH values mean high concentration of OH鈦 ions.
Understanding the pH of a solution helps in identifying the strength and concentration of acidic or basic ions present.
Strong Acids and Bases
Strong acids and bases are substances that completely dissociate in water. This means when they are dissolved, they release all of their H鈦 ions or OH鈦 ions into the solution.

For example:
  • Strong acids like hydrochloric acid ( HCl ) dissociate almost entirely into H鈦 and Cl鈦 ions.
  • Strong bases like sodium hydroxide ( NaOH ) dissociate into Na鈦 and OH鈦 ions.
Looking at the exercise, the salt MX with a pH of 7 is derived from a strong acid (HX) and a strong base (MOH). Both the acid and base dissociate completely, leading to the neutralization of H鈦 and OH鈦 ions.

Key characteristics of strong acids and bases:
  • They do not form equilibrium mixtures; their dissociation is complete.
  • Their conjugate bases (for acids) or acids (for bases) are weak.
Thus, the pH of the solution remains unaffected after the formation of salt, maintaining a stable level of 7.

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