When 1 mole of monoatomic gas is mixed with 2 moles of diatomic gas, then find `C_(P), C_(v), f and gamma` for the mixture of gases.

Explanation

To find the specific heat capacities \( C_P \) and \( C_V \), the degrees of freedom \( f \), and the ratio \( \gamma \) for a mixture of gases consisting of 1 mole of monoatomic gas and 2 moles of diatomic gas, we can follow these steps:

### Step 1: Determine \( C_V \) for Each Gas
1. **Monoatomic Gas**: For a monoatomic gas, the degrees of freedom \( f_1 = 3 \). Therefore, the molar heat capacity at constant volume \( C_{V1} \) is given by:
\[ C_{V1} = \frac{f_1}{2} R = \frac{3}{2} R \]

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