Three moles of an ideal gas are expanded isothermally and reversibly at `27^(@)C` to twice its original volume. Calculate `q, w,` and `DeltaU`.

Explanation

To solve the problem of calculating \( q \), \( w \), and \( \Delta U \) for the isothermal expansion of an ideal gas, we will follow these steps:

### Step 1: Identify the Given Data
- Number of moles (\( n \)) = 3 moles
- Initial temperature (\( T \)) = 27°C = 300 K (since \( T(K) = T(°C) + 273 \))
- The gas expands to twice its original volume, so if \( V_1 \) is the initial volume, then the final volume \( V_2 = 2V_1 \).

### Step 2: Calculate the Work Done (\( w \))
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