The specific heat capacity of hydrogen at constant'pressure and constant volume are `14280 J kg ^(-1) K ^(-1) and 10110 J kg ^(-1) K ^(-1)` respectively. Calculate the value of the universal gas constant.

Explanation

To calculate the value of the universal gas constant \( R \) using the specific heat capacities of hydrogen at constant pressure \( C_p \) and constant volume \( C_v \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify Given Values**:
- Specific heat capacity at constant pressure, \( C_p = 14280 \, \text{J kg}^{-1} \text{K}^{-1} \)
- Specific heat capacity at constant volume, \( C_v = 10110 \, \text{J kg}^{-1} \text{K}^{-1} \)

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