In the equation of state of an ideal gas `PV = nRT, the value of universal gas constant would depend only on :

Options

A. the nature of the gas
B. the units of measurement
C. the pressure of the gas
D. the pressure of the gas

Answer

To solve the question regarding the dependence of the universal gas constant \( R \) in the ideal gas equation \( PV = nRT \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Ideal Gas Law**:
The ideal gas law is represented by the equation \( PV = nRT \), where:
- \( P \) = pressure of the gas
- \( V \) = volume of the gas
- \( n \) = number of moles of the gas
- \( R \) = universal gas constant
- \( T \) = temperature of the gas in Kelvin

2. **Identifying the Variables**:
In this equation, \( R \) is the universal gas constant. The other variables \( P \), \( V \), \( n \), and \( T \) can vary depending on the conditions of the gas.

3. **Understanding the Nature of \( R \)**:
The universal gas constant \( R \) is a proportionality constant that relates the energy scale to the temperature scale in the context of ideal gases.

4. **Recognizing the Independence of \( R \)**:
The value of \( R \) does not depend on the specific gas being considered or the conditions (pressure, volume, temperature) of the gas. Instead, it is a constant value that is universally applicable to all ideal gases.

5. **Value of \( R \)**:
The common value of the universal gas constant \( R \) is \( 8.314 \, \text{J/(K·mol)} \). This value remains the same regardless of the gas or its state.

### Conclusion:
The value of the universal gas constant \( R \) depends only on the units used in the equation and is a constant for all ideal gases.