A sample of organ gas at `1atm` pressure and `27^(@)C` expands reversibly and adiabatically from `1.25 dm^(3)` to `2.50 dm^(3)`. Calculate the enthalpy change in this process. `C_(vm)` for orgon is `12.48J K^(-1) mol^(-1)`.

Explanation

To solve the problem of calculating the enthalpy change (ΔH) for a sample of argon gas expanding adiabatically and reversibly, we can follow these steps:

### Step 1: Identify Given Data
- Initial pressure (P) = 1 atm
- Initial temperature (T1) = 27°C = 300 K (after converting to Kelvin)
- Initial volume (V1) = 1.25 dm³
- Final volume (V2) = 2.50 dm³
- Molar heat capacity at constant volume (C_v) for argon = 12.48 J K⁻¹ mol⁻¹
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