The specific heat capacities of hydrogen at constant volume and at constant pressure are `2.4 cal g^(-1)K ^(-1) and 3.4 cal g^(-1) K^(-1)` respectively. The molecular weight of hydrogen is `2g mol^(-1)` and the gas constant `R= 8.3 xx 10^(7)erg K^(-1) mol^(-1)` . Calculate the value of `J`.

Explanation

To solve the problem, we need to calculate the value of \( J \) using the given specific heat capacities of hydrogen and the gas constant \( R \).

### Step-by-step Solution:

1. **Identify Given Values:**
- Specific heat at constant volume, \( C_V = 2.4 \, \text{cal g}^{-1} \text{K}^{-1} \)
- Specific heat at constant pressure, \( C_P = 3.4 \, \text{cal g}^{-1} \text{K}^{-1} \)
- Molecular weight of hydrogen, \( M = 2 \, \text{g mol}^{-1} \)
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