Which of the following values does not represent the correct value of R ?

Options

A. 8.314 Pa `m^(3) K^(-1) mol ^(-1)`
B. `8 . 314 xx 10^(2) "bar " L K ^(-1) mol ^(-1)`
C. `0.0821 jk ^(-1) mol^(-1)`
D. `8.314 jk^(-1) mol^(-1)`

Explanation

To determine which of the given values does not represent the correct value of the universal gas constant (R), we need to analyze the units and values provided.

### Step-by-Step Solution:

1. **Understand the Universal Gas Constant (R)**:
The universal gas constant (R) is a fundamental constant in chemistry that relates the energy scale to the temperature scale. It can be expressed in various units.

2. **List the Common Values of R**:
- \( R = 8.314 \, \text{J K}^{-1} \text{mol}^{-1} \)
- \( R = 0.0821 \, \text{L atm K}^{-1} \text{mol}^{-1} \)
- \( R = 8.314 \, \text{Pa m}^3 \text{K}^{-1} \text{mol}^{-1} \)
- \( R = 8.314 \times 10^2 \, \text{bar L K}^{-1} \text{mol}^{-1} \)

3. **Evaluate Each Option**:
- **Option A**: \( 8.314 \, \text{Pa m}^3 \text{K}^{-1} \text{mol}^{-1} \) - This is a correct representation of R.
- **Option B**: \( 8.314 \times 10^2 \, \text{bar L K}^{-1} \text{mol}^{-1} \) - This is also a correct representation of R.
- **Option C**: \( 0.0821 \, \text{J K}^{-1} \text{mol}^{-1} \) - This value is incorrect because it does not match the standard value of R in Joules.
- **Option D**: (Assuming another correct value) - This would be correct if it matches the known values of R.

4. **Identify the Incorrect Value**:
After evaluating the options, it is clear that **Option C** \( 0.0821 \, \text{J K}^{-1} \text{mol}^{-1} \) does not represent the correct value of R.

### Conclusion:
The value that does not represent the correct value of R is **C: 0.0821 J K^{-1} mol^{-1}**.