Calcualte `q, w, DeltaU`, and `DeltaH` for the reversible isothermal expansion of one mole of an ideal gas at `127^(@)C` from a volume of `20dm^(3)` to `40dm^(3)`.

Explanation

To solve the problem of calculating \( q \), \( w \), \( \Delta U \), and \( \Delta H \) for the reversible isothermal expansion of one mole of an ideal gas at \( 127^\circ C \) from a volume of \( 20 \, dm^3 \) to \( 40 \, dm^3 \), we can follow these steps:

### Step 1: Convert Temperature to Kelvin
The temperature given is \( 127^\circ C \). To convert this to Kelvin:
\[ T(K) = 127 + 273 = 400 \, K \]

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