Assertion (A): 0.1 M solution of KCl has great osmotic pressure than 0.1 M solution of glucose at same temperature.
Reason (R): In solution KCl dissociates to produce more number of particles.

Options

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true but R is NOT the correct explanation of A
C. A is true but R is false
D. A is false and R is True

Explanation

To solve the question, we need to analyze the assertion and reason provided regarding the osmotic pressure of KCl and glucose solutions.

### Step-by-Step Solution:

1. **Understanding Osmotic Pressure**:
Osmotic pressure (π) is given by the formula:
\[ \pi = iCRT \]
where:
- \(i\) = van 't Hoff factor (number of particles the solute dissociates into),
- \(C\) = molarity of the solution,
- \(R\) = ideal gas constant,
- \(T\) = temperature in Kelvin.

2. **Analyzing KCl Solution**:
- KCl is an ionic compound that dissociates in solution:
\[ \text{KCl} \rightarrow \text{K}^+ + \text{Cl}^- \]
- For KCl, the van 't Hoff factor \(i = 2\) (since it produces 2 particles: K⁺ and Cl⁻).
- Therefore, the osmotic pressure for 0.1 M KCl is:
\[ \pi_{\text{KCl}} = iCRT = 2 \times 0.1 \times RT = 0.2RT \]

3. **Analyzing Glucose Solution**:
- Glucose is a non-electrolyte and does not dissociate in solution:
\[ \text{C}_6\text{H}_{12}\text{O}_6 \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 \]
- For glucose, the van 't Hoff factor \(i = 1\).
- Therefore, the osmotic pressure for 0.1 M glucose is:
\[ \pi_{\text{glucose}} = iCRT = 1 \times 0.1 \times RT = 0.1RT \]

4. **Comparing Osmotic Pressures**:
- From the calculations:
\[ \pi_{\text{KCl}} = 0.2RT \quad \text{and} \quad \pi_{\text{glucose}} = 0.1RT \]
- Clearly, \(0.2RT > 0.1RT\), which means the osmotic pressure of the KCl solution is greater than that of the glucose solution.

5. **Conclusion**:
- The assertion (A) that "0.1 M solution of KCl has greater osmotic pressure than 0.1 M solution of glucose at the same temperature" is **true**.
- The reason (R) that "in solution KCl dissociates to produce more number of particles" is also **true** and correctly explains the assertion.

### Final Answer:
Both the assertion and reason are true, and the reason correctly explains the assertion.