The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is called

Options

A. Critical temperature
B. Boyle's temperature
C. Inversion temperature
D. Reduced temperature

Answer

To solve the question, "The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is called," we can follow these steps:

### Step 1: Understand the Concept
We need to identify the specific temperature at which a real gas behaves like an ideal gas. Ideal gases follow the ideal gas laws without deviation, while real gases show deviations due to intermolecular forces and volume occupied by gas molecules.

**Hint:** Think about the conditions under which real gases approximate ideal behavior.

### Step 2: Identify the Temperature
The temperature at which a real gas behaves ideally is known as the **Boyle's temperature**. This is the temperature at which a real gas starts to obey the ideal gas laws over a wide range of pressures.

**Hint:** Recall the name associated with the ideal behavior of gases under certain conditions.

### Step 3: Representation of Boyle's Temperature
Boyle's temperature is represented as **Tb**. This notation is commonly used in thermodynamics and physical chemistry.

**Hint:** Remember the notation used for specific temperatures in gas laws.

### Step 4: Calculation of Boyle's Temperature
If you need to calculate the Boyle's temperature for a specific gas, you can use the formula:
\[ T_b = \frac{A}{R_B} \]
where:
- \( T_b \) = Boyle's temperature
- \( A \) = Van der Waals constant (related to the attraction between molecules)
- \( R_B \) = Van der Waals constant (related to the volume occupied by gas molecules)

**Hint:** Familiarize yourself with the Van der Waals equation and how constants A and B are derived.

### Final Answer
The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is called **Boyle's temperature (Tb)**.