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Consider saturated solutions of the slightly soluble salts \(\mathrm{AgBr}\) and \(\mathrm{BaCO}_{3}\) (a) Is the solubility of AgBr increased, decreased, or unaffected by the addition of each of the following substances? (i) \(\mathrm{HBr}\) (ii) \(\mathrm{HNO}_{3}\) (iii) \(\mathrm{AgNO}_{3}\) (iv) \(\mathrm{NH}_{3}\) (b) Is the solubility of \(\mathrm{BaCO}_{3}\) increased, decreased, or unaffected by the addition of each of the following substances? (i) \(\mathrm{HNO}_{3}\) (ii) \(\mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}\) (iii) \(\mathrm{Na}_{2} \mathrm{CO}_{3}\) (iv) \(\mathrm{CH}_{3} \mathrm{CO}_{2} \mathrm{H}\)

Short Answer

Expert verified
(a) (i) Decreased, (ii) Unaffected, (iii) Decreased, (iv) Increased; (b) (i) Increased, (ii) Decreased, (iii) Decreased, (iv) Slightly increased.

Step by step solution

01

Understanding Solubility Product

Solubility is affected by the common ion effect, complex ion formation, and changes in pH. The solubility product constant ( K_{sp} ) affects the dissolution and precipitation of slightly soluble salts.
02

Solubility of AgBr: Addition of HBr

HBr adds Br鈦 ions to the solution, increasing the concentration of Br鈦. According to Le Chatelier's principle and the common ion effect, this will decrease the solubility of AgBr since the equilibrium will shift towards the precipitation of AgBr.
03

Solubility of AgBr: Addition of HNO3

HNO鈧 is an acidic compound that does not add any common ions with AgBr. However, a very low pH can increase AgBr solubility by converting Br鈦 into HBr (which is theoretically negligible here). Thus, its main effect could be negligible under normal conditions.
04

Solubility of AgBr: Addition of AgNO3

Adding AgNO鈧 increases the concentration of the common ion Ag鈦 in the solution. This will decrease the solubility of AgBr due to the common ion effect, shifting the equilibrium to favor AgBr precipitation.
05

Solubility of AgBr: Addition of NH3

Ammonia (NH鈧) forms a complex ion with silver, Ag(NH鈧)鈧傗伜, which reduces the concentration of Ag鈦 ions in solution. This reduces the common ion effect and increases the solubility of AgBr.
06

Solubility of BaCO3: Addition of HNO3

HNO鈧 being an acid, reacts with carbonate ions (CO鈧兟测伝) to form CO鈧 gas and water, lowering the CO鈧兟测伝 concentration. This increases the solubility of BaCO鈧.
07

Solubility of BaCO3: Addition of Ba(NO3)2

Adding Ba(NO鈧)鈧 increases the concentration of the common ion Ba虏鈦. The common ion effect reduces BaCO鈧 solubility by shifting the equilibrium towards BaCO鈧 precipitation.
08

Solubility of BaCO3: Addition of Na2CO3

The addition of Na鈧侰O鈧 increases CO鈧兟测伝 ions in the solution. This will decrease the solubility of BaCO鈧 due to the common ion effect, favoring precipitation.
09

Solubility of BaCO3: Addition of CH3CO2H

Acetic acid (CH鈧僀OOH) is a weak acid that will increase solubility slightly by slowly reacting with CO鈧兟测伝 ions. However, its effect is less significant compared to strong acids like HNO鈧.

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Key Concepts

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

Common Ion Effect
The common ion effect is a powerful concept in chemistry that plays a crucial role in influencing the solubility of salts. It occurs when a salt's solubility is reduced by the presence of a common ion added to the solution. This happens because adding an ion that is already part of the salt formula shifts the equilibrium of dissolving back towards the solid form.

For example, consider the addition of HBr to a saturated AgBr solution. HBr dissociates to provide Br鈦 ions, increasing their concentration in the solution. As a result, the solubility of AgBr decreases because the equilibrium shifts towards forming more solid AgBr. This phenomenon is also observed with BaCO鈧 when Ba(NO鈧)鈧 is added. The Ba虏鈦 ions from Ba(NO鈧)鈧 increase the concentration of Ba虏鈦 in the solution, diminishing the solubility of BaCO鈧.

To understand the common ion effect, remember:
  • It involves ions that are part of the salt's formula.
  • Increased common ion concentration shifts equilibrium towards precipitation.
  • It reduces the solubility of the salt.
Grasping this effect helps predict changes in solubility when solutions of ionic compounds are changed by adding other compounds.
Le Chatelier's Principle
Le Chatelier's Principle is an essential concept in understanding how systems at equilibrium respond to external changes. It states that if a dynamic equilibrium is disturbed by changing the conditions, the position of equilibrium moves to counteract the change and re-establish equilibrium.

In the context of solubility, when you add a substance like AgNO鈧 to a solution of AgBr, you increase the concentration of the Ag鈦 ions. According to Le Chatelier's Principle, the equilibrium will shift to decrease the concentration of Ag鈦 by favoring the formation of solid AgBr, leading to a reduction in solubility. Similarly, for BaCO鈧, adding Ba(NO鈧)鈧 increases Ba虏鈦 ions, causing a shift towards solid formation to counter the change.

Key aspects include:
  • This principle helps predict the direction of shift in equilibrium in response to changes.
  • It's crucial for understanding how and why solubility changes occur.
  • It applies to shifts caused by concentrations, pressure, temperature, etc.
Thus, Le Chatelier鈥檚 Principle is a guiding light in predicting the effects of adding ions or other changes on the solubility of compounds.
Solubility Product Constant (Ksp)
The solubility product constant ( K_{sp} ) is a fundamental concept when discussing the solubility of sparingly soluble salts. It is an expression of the product of the concentrations of the ions that are formed when a salt dissolves in water, each raised to the power of their stoichiometric coefficients. This constant is unique for every salt and dictates how much of the salt can dissolve in a solution before it precipitates.

Consider AgBr, a salt with a low K_{sp} value. This means only a small amount of AgBr can dissolve in water. When you add substances with common ions, the equilibrium of dissolving AgBr adjusts so that K_{sp} remains met, often leading to precipitation. For example, when AgNO鈧, containing Ag鈦 ions, is added, these extra ions mean less AgBr can dissolve, as the K_{sp} must not be exceeded.

Important points about K_{sp} include:
  • It represents the saturation point for sparingly soluble salts.
  • A specific value unique to each salt, dictating its solubility under given conditions.
  • K_{sp} helps determine whether a salt will precipitate or remain dissolved when various ions are present in the solution.
Understanding K_{sp} allows for the anticipation of solubility changes in response to different conditions or chemical additions.

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