The numerical value of universal gas constant (R) depends upon

Options

A. the nature of the gas
B. conditions of temperature
C. the units of measurement
D. None of these

Explanation

To determine the factors that the numerical value of the universal gas constant (R) depends upon, we can follow these steps:

### Step-by-Step Solution:

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

2. **Rearranging the Equation**:
From the ideal gas law, we can express the gas constant \( R \) as:
\[ R = \frac{PV}{nT} \]
This shows that \( R \) is derived from the values of pressure, volume, number of moles, and temperature.

3. **Identifying Units of Measurement**:
The value of \( R \) is influenced by the units used for pressure and volume. For example:
- If pressure is measured in atmospheres (atm) and volume in liters (L), the value of \( R \) is:
\[ R = 0.0821 \, \text{atm L mol}^{-1} \text{K}^{-1} \]
- If pressure is measured in bars and volume in liters, the value of \( R \) changes to:
\[ R = 0.083 \, \text{bar L mol}^{-1} \text{K}^{-1} \]

4. **Conclusion**:
The numerical value of the universal gas constant \( R \) depends on the units of measurement for pressure and volume. Therefore, when different units are used, the value of \( R \) will also change accordingly.

### Final Answer:
The numerical value of the universal gas constant (R) depends upon the units of measurement used for pressure and volume.