Potassium carbonate can be obtained by Solvay's process.

Explanation

To determine whether potassium carbonate can be obtained by the Solvay process, we can follow these steps:

### Step 1: Understand the Solvay Process
The Solvay process is primarily used to produce sodium carbonate (Na2CO3) from sodium chloride (NaCl) and ammonia (NH3). It involves several chemical reactions that utilize ammonia, carbon dioxide, and brine (saltwater).

**Hint:** Research the main reactions involved in the Solvay process to understand its mechanism.

### Step 2: Identify the Initial Reactions
In the Solvay process, ammonia reacts with water to form ammonium hydroxide (NH4OH). This is the starting point of the process.

**Hint:** Remember that ammonia acts as a base in this reaction.

### Step 3: Formation of Ammonium Bicarbonate
Next, ammonium hydroxide reacts with carbon dioxide (CO2) to form ammonium bicarbonate (NH4HCO3).

**Hint:** Consider the role of carbon dioxide in forming bicarbonate ions.

### Step 4: Reaction with Sodium Chloride
Ammonium bicarbonate then reacts with sodium chloride (NaCl) to produce sodium bicarbonate (NaHCO3) and ammonium chloride (NH4Cl). Sodium bicarbonate is only sparingly soluble in the solution.

**Hint:** Think about the solubility rules for salts in water when considering precipitation.

### Step 5: Precipitation of Sodium Bicarbonate
Since sodium bicarbonate is sparingly soluble, it precipitates out of the solution. This precipitate can then be heated to produce sodium carbonate, carbon dioxide, and water.

**Hint:** Recall the thermal decomposition of bicarbonates.

### Step 6: Transition to Potassium Carbonate
To produce potassium carbonate (K2CO3) instead of sodium carbonate, we would need to replace sodium chloride (NaCl) with potassium chloride (KCl) at the step where sodium bicarbonate is formed.

**Hint:** Consider how changing one reactant affects the entire process.

### Step 7: Solubility of Potassium Bicarbonate
However, potassium bicarbonate (KHCO3) is highly soluble in the solution of ammonium bicarbonate and KCl. This means that it does not precipitate out like sodium bicarbonate does.

**Hint:** Reflect on the differences in solubility between sodium and potassium salts.

### Step 8: Conclusion
Since potassium bicarbonate does not precipitate, it cannot be heated to form potassium carbonate. Therefore, potassium carbonate cannot be obtained through the Solvay process.

**Hint:** Summarize the key reasons why the process fails for potassium carbonate.

### Final Answer
Potassium carbonate cannot be obtained by the Solvay process because potassium bicarbonate is completely soluble in the solution, preventing precipitation and subsequent conversion to potassium carbonate.

---