`Na_(2)CO_(3)` can be manufactured by Solva's process but `K_(2)CO_(3)` cannot be prepared because

Options

A. `K_(2)CO_(3)` is more soluble
B. `K_(2)CO_(3)` is less soluble
C. `KHCO_(3)` is more soluble than `NaHCO_(3)`
D. `KHCO_(3)` is less solubie than `NaHCO_(3)`

Answer

To understand why `K2CO3` cannot be prepared by the Solvay process while `Na2CO3` can, we can break down the process step by step.

### Step 1: Understanding the Solvay Process
The Solvay process is a method for producing sodium carbonate (`Na2CO3`) from sodium chloride (`NaCl`). It involves the following main components:
- A concentrated aqueous solution of sodium chloride (brine).
- Ammonia (`NH3`).
- Carbon dioxide (`CO2`).

### Step 2: Reaction in the Solvay Process
In the Solvay process, the following reactions occur:
1. Ammonia is dissolved in the brine solution.
2. Carbon dioxide is bubbled through the solution, leading to the formation of ammonium bicarbonate (`NH4HCO3`):
\[ NH3 + CO2 + H2O \rightarrow NH4HCO3 \]

### Step 3: Formation of Sodium Bicarbonate
The ammonium bicarbonate then reacts with sodium chloride to form sodium bicarbonate (`NaHCO3`) and ammonium chloride (`NH4Cl`):
\[ NH4HCO3 + NaCl \rightarrow NaHCO3 + NH4Cl \]

### Step 4: Precipitation of Sodium Carbonate
Sodium bicarbonate is less soluble in water, so it precipitates out. When heated, it decomposes to form sodium carbonate:
\[ 2 NaHCO3 \rightarrow Na2CO3 + CO2 + H2O \]

### Step 5: Why `K2CO3` Cannot be Prepared
Now, when we consider potassium carbonate (`K2CO3`), the key issue arises from the solubility of potassium bicarbonate (`KHCO3`). Unlike sodium bicarbonate, potassium bicarbonate is more soluble in water. This high solubility means that it does not precipitate out of the solution when formed, making it difficult to isolate and convert to potassium carbonate.

### Conclusion
Thus, while sodium carbonate can be effectively produced through the Solvay process due to the low solubility of sodium bicarbonate, potassium carbonate cannot be produced in the same way because potassium bicarbonate remains dissolved in the solution.