The Boyle temperature for real gases is given by :

Options

A. (a) `a//R`
B. (b) `a//bR`
C. (c) `2a//bR`
D. (d) None of these

Explanation

To solve the question regarding the Boyle temperature for real gases, we will follow these steps:

### Step-by-Step Solution:

1. **Understanding Boyle Temperature**:
- Boyle temperature is defined as the temperature at which a real gas behaves like an ideal gas. This means that at this temperature, the effects of intermolecular forces and the volume occupied by gas molecules become negligible.

2. **Identifying the Formula**:
- The Boyle temperature (Tv) for real gases can be expressed using the Van der Waals constants (A and B) and the universal gas constant (R). The formula is given by:
\[ T_v = \frac{A}{R \cdot b} \]
- Here, A and B are the Van der Waals constants specific to the gas, and R is the universal gas constant.

3. **Evaluating the Options**:
- Given the options, we need to identify which one matches the formula for Boyle temperature:
- Option A: \( \frac{A}{R} \) - Incorrect
- Option B: \( \frac{A}{R \cdot b} \) - Correct
- Option C: Incorrect

4. **Conclusion**:
- The correct answer is Option B: \( \frac{A}{R \cdot b} \).

### Final Answer:
The Boyle temperature for real gases is given by:
\[ T_v = \frac{A}{R \cdot b} \]