When one mole of monoatomic gas is mixed with one mole of triatomic gas, then the equivalent value of `gamma` for the mixture will be (vibration mode neglected)

Options

A. `(13)/(9)`
B. `(9)/(2)`
C. `(5)/(2)`
D. `(7)/(6)`

Explanation

To find the equivalent value of \( \gamma \) for the mixture of one mole of monoatomic gas and one mole of triatomic gas (with vibration modes neglected), we can follow these steps:

### Step 1: Identify the degrees of freedom
- For a monoatomic gas, the degrees of freedom \( F_1 = 3 \).
- For a triatomic gas (with vibration modes neglected), the degrees of freedom \( F_2 = 6 \).

### Step 2: Calculate \( C_V \) for each gas
- The formula for \( C_V \) is given by:
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