A sample of a fluorocarbon was allowed to expand to expand reversibly and adiabatically to twice its volume. In the expansion the temperature dropped from 298.15 K to 248.44 K. Assume the gas behaves perfectly Estimate the value of `C_("v.m.")`

Explanation

To estimate the value of \( C_{v,m} \) (molar heat capacity at constant volume) for the given fluorocarbon gas, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Initial and Final Conditions:**
- Initial temperature, \( T_1 = 298.15 \, \text{K} \)
- Final temperature, \( T_2 = 248.44 \, \text{K} \)
- Initial volume, \( V_1 = V \)
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