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Which of the following solutions of strong electrolytes contains the largest number of ions: 100.0 \(\mathrm{mL}\) of 0.100\(M \mathrm{NaOH}\) , 50.0 \(\mathrm{mL}\) of \(0.200 \mathrm{M} \mathrm{BaCl}_{2},\) or 75.0 \(\mathrm{mL}\) of 0.150 \(\mathrm{M} \mathrm{Na}_{3} \mathrm{PO}_{4} ?\)

Short Answer

Expert verified
The solution containing the largest number of ions is 75.0 mL of 0.150 M Na3PO4, with a total of 0.0450 mol of ions.

Step by step solution

01

Determine moles of each electrolyte in the given solution

First, let's find the moles of each electrolyte in the solution. We can use the formula: Moles of electrolyte = Molarity 脳 Volume (in liters) For the NaOH solution: Moles of NaOH = 0.100 M 脳 100.0 mL 脳 (1L/1000mL) = 0.0100 mol For the BaCl2 solution: Moles of BaCl2 = 0.200 M 脳 50.0 mL 脳 (1L/1000mL) = 0.0100 mol For the Na3PO4 solution: Moles of Na3PO4 = 0.150 M 脳 75.0 mL 脳 (1L/1000mL) = 0.01125 mol
02

Identify ions produced by electrolytes and their corresponding numbers

When the strong electrolytes dissociate in water, they release their respective ions. Let's identify the ions produced by each electrolyte and their corresponding numbers. For NaOH: 1 Na鈦 ion and 1 OH鈦 ion Total ions = 1 + 1 = 2 For BaCl2: 1 Ba虏鈦 ion and 2 Cl鈦 ions Total ions = 1 + 2 = 3 For Na3PO4: 3 Na鈦 ions and 1 PO鈧劼斥伝 ion Total ions = 3 + 1 = 4
03

Calculate the total number of ions produced in each solution

Now that we have the moles of each electrolyte and the total ions produced per mole, we can calculate the total number of ions produced in each solution using the following formula: Total ions in solution = Moles of electrolyte 脳 Total ions produced per mole of electrolyte For the NaOH solution: Total ions = 0.0100 mol 脳 2 = 0.0200 mol of ions For the BaCl2 solution: Total ions = 0.0100 mol 脳 3 = 0.0300 mol of ions For the Na3PO4 solution: Total ions = 0.01125 mol 脳 4 = 0.0450 mol of ions
04

Compare the total number of ions and determine the solution with the largest number of ions

Now that we have the total number of ions produced in each solution, let's compare them to find out which solution contains the largest number of ions. NaOH solution: 0.0200 mol of ions BaCl2 solution: 0.0300 mol of ions Na3PO4 solution: 0.0450 mol of ions We can see that the Na3PO4 solution contains the largest number of ions (0.0450 mol). Therefore, the solution containing the largest number of ions is 75.0 mL of 0.150 M Na3PO4.

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Key Concepts

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

Molarity
Molarity is a fundamental concept that describes the concentration of a solute in a solution. It is defined as the number of moles of solute per liter of solution. Often symbolized as "M", molarity allows us to determine how concentrated a particular solute is within a given volume of solvent.
For example, a molarity of 1 M (molar) implies there is one mole of solute in every liter of solution. To calculate the molarity, you should use the formula:
  • Molarity (M) = Moles of solute / Liters of solution
In practical situations, molarity is significant in determining how a solution will behave in different chemical reactions or physical processes. It helps to predict whether reactions will be successful, based on how much of each reactant is present.
Dissociation in Water
Dissociation is a process where ionic compounds separate into ions when dissolved in water. This is particularly notable for strong electrolytes, which dissociate completely.
When an ionic compound like NaOH is dissolved in water, it splits into its constituent ions: Na鈦 and OH鈦. This process increases the number of particles in the solution, which directly affects properties like electrical conductivity and boiling point elevation.
Water, as a solvent, plays a crucial role by allowing these ions to separate. It surrounds each ion, stabilizing them and preventing them from recombining into their neutral compound. This stabilization occurs due to the polar nature of water molecules, which can align themselves with the charged ions.
Ionic Compounds
Ionic compounds are formed from the electrostatic attraction between oppositely charged ions. These ions typically derive from atoms or molecules that have gained or lost electrons.
For example, sodium chloride (NaCl) is comprised of Na鈦 and Cl鈦 ions. In solid form, these ions are tightly held together in a lattice structure due to their ionic bonds. In solution, these bonds are broken, allowing the ions to move freely.
Understanding ionic compounds is essential because it explains many properties of solutions, such as conductivity and reaction mechanisms. With an ionic compound like BaCl鈧, when dissolved in water, it dissociates into one Ba虏鈦 ion and two Cl鈦 ions, resulting in an increased count of free particles in solution.
Stoichiometry
Stoichiometry is the branch of chemistry that deals with the quantitative relationships between reactants and products in a chemical reaction. By using stoichiometry, you can calculate how much of each substance is needed or produced in a reaction.
This involves using the balanced chemical equation to find molar ratios. For example, if a reaction between sodium hydroxide (NaOH) and another substance was 1:1, the stoichiometric calculation would tell us equal moles of each reactant are needed.
In electrolyte solutions, stoichiometry helps determine the number of ions produced. For instance, BaCl鈧 yields 3 ions per formula unit, which implies that each mole of BaCl鈧 will produce a mole of Ba虏鈦 and two moles of Cl鈦. Therefore, understanding stoichiometric relationships ensures precise calculations in analytical and synthetic chemistry.

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Most popular questions from this chapter

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