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A solution labeled " \(0.25 \mathrm{MAlCl}_{3}\) " would contain mole(s) of \(\mathrm{Al}^{3+}\) and mole(s) of \(\mathrm{Cl}^{-}\) in each liter of the solution.

Short Answer

Expert verified
In each liter of the \( 0.25 M \mathrm{AlCl}_{3} \) solution, there are \( 0.25 \) moles of \( \mathrm{Al}^{3+} \) ions and \( 0.75 \) moles of \( \mathrm{Cl}^{-} \) ions.

Step by step solution

01

1. Understand the given information

We are given a solution with molarity 0.25 M AlCl鈧. Molarity (M) is defined as the number of moles of solute per liter of solution.
02

2. Determine moles of AlCl鈧

As the molarity of AlCl鈧 is given as 0.25 M, it means there are 0.25 moles of AlCl鈧 in 1 liter of the solution.
03

3. Analyze the stoichiometry of AlCl鈧

The chemical formula for AlCl鈧 indicates that there is one aluminum ion (Al鲁鈦) and three chloride ions (Cl鈦) in each molecule of AlCl鈧.
04

4. Determine moles of Al鲁鈦 and Cl鈦 ions

Since there is one Al鲁鈦 ion in each AlCl鈧 molecule, the moles of Al鲁鈦 ions in 1 L of solution will be the same as the moles of AlCl鈧, which is 0.25 moles. Due to the presence of three Cl鈦 ions in each AlCl鈧 molecule, the moles of Cl鈦 ions in 1 L of solution will be three times the moles of AlCl鈧. Therefore, moles of Cl鈦 ions = 3 脳 0.25 moles = 0.75 moles.
05

5. Present the final result

In each liter of the 0.25 M AlCl鈧 solution, there are 0.25 moles of Al鲁鈦 ions and 0.75 moles of Cl鈦 ions.

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Key Concepts

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

Molarity
Molarity is a key term in solution stoichiometry, as it helps us understand the concentration of a solution.
It is defined as the number of moles of solute present in one liter of a solution.
Moles, being a measurement for the amount of substance, help us quantify the solute's presence.
This is especially useful in chemistry when predicting reaction outcomes or analyzing solutions. For instance, when a solution is labeled as 0.25 M AlCl鈧, it means each liter of this solution contains 0.25 moles of the compound aluminum chloride (AlCl鈧).
This uniform method of measurement allows chemists to easily prepare solutions of desired concentrations for experiments or industrial applications.
Molarity helps ensure consistency and accuracy across scientific work.
A consistent unit like molarity also helps us swiftly communicate the concentration and behavior of ions in a solution.
Understanding molarity provides the basis needed to dive deeper into concepts like ion concentration.
Chemical Formula
A chemical formula is like a recipe for a compound, telling us exactly what elements are present and in what amounts.
For the compound AlCl鈧, the chemical formula indicates one aluminum atom (Al) and three chlorine atoms (Cl).
This gives us a clear picture of how the compound forms and what to expect when it dissolves. The stoichiometry, or the numeric relationships in a formula, reveals how different ions appear when the compound dissolves in a solution.
In the case of aluminum chloride (AlCl鈧), the chemical formula shows that dissociation in water will yield one aluminum ion (Al鲁鈦) and three chloride ions (Cl鈦).
This understanding is crucial not only for determining how many ions are present but also when predicting how compounds will interact in a solution. So, when dealing with chemical formulas, remember that these tell us not just what atoms are present, but also the ratios they work in.
Each piece of the formula gives clues about the resulting chemistry, such as ion types and their proportions once dissolved.
Ion Concentration
Ion concentration refers to the amount of individual ions present in a solution.
This is derived from the solution's total molarity and the compound's chemical formula. Using the previous example of a 0.25 M AlCl鈧 solution, the ion concentration can be calculated as follows:
Given the compound dissolves into 1 Al鲁鈦 ion and 3 Cl鈦 ions, we determine that:
  • Al鲁鈦 concentration = 0.25 moles per liter (1 ion for every molecule of AlCl鈧)
  • Cl鈦 concentration = 0.75 moles per liter (3 ions for every molecule of AlCl鈧)
The concentration of each type of ion helps in predicting the conductance, chemical behavior, or reactivity of the solution.
Such calculations are foundational for countless applications, from laboratory work to industrial processes.
By understanding ion concentration, one can tailor conditions for optimal reactions, ensuring safety and achieving desired results.

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