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Calculate the osmolarity of each of the following solutions. (a) \(0.39 M \mathrm{Na}_{2} \mathrm{CO}_{3}\) (b) \(0.62 M \mathrm{Al}\left(\mathrm{NO}_{3}\right)_{3}\) (c) \(4.2 M\) LiBr (d) \(0.009 M \mathrm{K}_{3} \mathrm{PO}_{4}\)

Short Answer

Expert verified
(a) 1.17 Osm/L, (b) 2.48 Osm/L, (c) 8.4 Osm/L, (d) 0.036 Osm/L.

Step by step solution

01

Understand Osmolarity

Osmolarity is a measure of solute concentration expressed as the number of osmoles of solute per liter of solution. It accounts for the total number of particles in the solution after dissociation.
02

Determine the Dissociation of Compounds

Identify how many ions each compound dissociates into: - Na鈧侰O鈧 dissociates into 2 Na鈦 and 1 CO鈧兟测伝 ions, hence 3 ions. - Al(NO鈧)鈧 dissociates into 1 Al鲁鈦 and 3 NO鈧冣伝 ions, hence 4 ions. - LiBr dissociates into 1 Li鈦 and 1 Br鈦 ion, hence 2 ions. - K鈧働O鈧 dissociates into 3 K鈦 and 1 PO鈧劼斥伝 ion, hence 4 ions.
03

Calculate Osmolarity for Each Solution

Multiply the molarity of each solution by the number of particles it dissociates into: - For Na鈧侰O鈧: Osmolarity = 0.39 M 脳 3 = 1.17 Osm/L. - For Al(NO鈧)鈧: Osmolarity = 0.62 M 脳 4 = 2.48 Osm/L. - For LiBr: Osmolarity = 4.2 M 脳 2 = 8.4 Osm/L. - For K鈧働O鈧: Osmolarity = 0.009 M 脳 4 = 0.036 Osm/L.

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Key Concepts

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

Solution Chemistry
Solution chemistry is the study of materials dissolved in solvents, typically liquids, to form homogeneous mixtures known as solutions. A solution consists of two main components: the solute and the solvent. The solute is the substance that is being dissolved, while the solvent is the substance in which the solute is dissolved. This can be anything from salt dissolved in water to oxygen dissolved in the blood.
Certain factors affect the ability of the solute to dissolve, such as temperature, pressure, and the nature of both solute and solvent. In the context of this exercise, solutions are composed of ionic substances, where understanding the dissolution processes is crucial.
Let鈥檚 remember:
  • The properties and concentration of these solutions determine their behavior and suitability for different applications.
  • An essential concept is the concentration of a solution which includes measuring factors like molarity or, as this exercise focuses on, osmolarity.
Ionic Dissociation
Ionic dissociation refers to the process where ionic compounds, such as salts, separate into individual ions when dissolved in water. This separation is due to the interaction between the water molecules and the ions, overcoming the ionic bond holding the compound together.
The dissociation is essential for calculating osmolarity because it determines the number of solute particles in solution. For example, when sodium carbonate ( ext{Na}_2 ext{CO}_3 ext{) is dissolved in water, it dissociates into two sodium ions ( ext{Na}^+ ext{) and one carbonate ion ( ext{CO}_3^{2-} ext{), making a total of three ions.
  • Different compounds dissociate into different numbers of ions; hence, their contribution to osmolarity differs.
  • In the exercise, identifying the dissociation products was crucial to computing the final osmotic concentrations.
Molarity
Molarity is a measure of concentration indicating the number of moles of solute per liter of solution (mol/L). It is fundamental in solution chemistry as it provides a quantitative snapshot of how solute-filled a solution is.
In the exercise, given molarities of solutions were instrumental in determining osmolarity, a related concentration measure. For instance, the exercise involved solutions such as ext{0.39 M Na}_2 ext{CO}_3 or ext{0.62 M Al(NO}_3)_3, where molarity indicated how much of the compound is present in the solution.
  • Molarity is used because it directly relates to how reactions proceed in a solution and affects properties like boiling point and osmotic pressure.
  • Accurate molarity measurements enable predictions on how the solution will act under different conditions.
Concentration Calculation
Concentration calculation, especially using molarity and osmolarity, is crucial for understanding how various solutions behave. To compute the osmolarity of a solution, the molarity is multiplied by the number of particles it dissociates into.
For instance, calculating the osmolarity of ext{LiBr} ext{, which dissociates into one lithium ion and one bromide ion, requires multiplying its molarity by two. This reflects its dissociation and gives a full picture of solute particle concentration.
  • Each compound's dissociation number influences the calculated osmolarity, as seen in the exercise.
  • This method allows chemists to understand properties like osmotic pressure and colligative properties of solutions.

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