Find the molar mass and the number of degrees of freedom of molecules in a gas if its heat capacities are `C_(v) = 650 J kg^(-1) K^(-1)` and `C_(P) = 910 J kg^(-1) K^(-1)`

Explanation

To find the molar mass and the number of degrees of freedom of the gas molecules given the heat capacities \( C_v = 650 \, \text{J kg}^{-1} \text{K}^{-1} \) and \( C_p = 910 \, \text{J kg}^{-1} \text{K}^{-1} \), we can follow these steps:

### Step 1: Calculate the ratio \( \gamma \)
We know that:
\[ \gamma = \frac{C_p}{C_v} \]
Substituting the given values:
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