Value of gas constant R in the ideal gas equation PV = nRT depends upon

Options

A. temperature of the gas
B. pressure of the gas
C. units in which P , V and T are measured
D. nature of the gas .

Answer

To determine what the value of the gas constant \( R \) in the ideal gas equation \( PV = nRT \) depends upon, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Ideal Gas Equation**:
The ideal gas equation is given by \( PV = nRT \), 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. **Rearranging the Equation**:
We can rearrange the equation to express \( R \):
\[ R = \frac{PV}{nT} \]
This shows that \( R \) is derived from the values of \( P \), \( V \), \( n \), and \( T \).

3. **Identifying Dependencies**:
From the equation \( R = \frac{PV}{nT} \), we can see that:
- The value of \( R \) depends on the values of \( P \), \( V \), and \( T \).
- The units in which \( P \), \( V \), and \( T \) are measured will affect the calculated value of \( R \).

4. **Considering Different Conditions**:
The value of \( R \) can change based on the conditions under which the gas is measured. For example:
- At Standard Temperature and Pressure (STP), the value of \( R \) is typically \( 0.0821 \, \text{L atm K}^{-1} \text{mol}^{-1} \).
- At different conditions (like Normal Temperature and Pressure, NTP), the value may differ.

5. **Conclusion**:
Therefore, the value of the gas constant \( R \) depends on:
- The temperature of the gas
- The pressure of the gas
- The units in which \( P \), \( V \), and \( T \) are measured

### Final Answer:
The value of the gas constant \( R \) in the ideal gas equation \( PV = nRT \) depends upon the units in which \( P \), \( V \), and \( T \) are measured.