Which expansion will produce more change in entropy during reversible and isothermal process?

Options

A. `1 mol H_(2)` at `300K` from `2 L` to `20L`
B. `1 mol N_(2)` at `400 K` from `1L` to `10L`
C. `1mol O_(3)` at `500K` form `3L` to `30L`
D. All have same `DeltaS`

Explanation

To determine which expansion will produce more change in entropy during a reversible and isothermal process, we can follow these steps:

### Step 1: Understand the Formula for Entropy Change
In a reversible and isothermal process, the change in entropy (ΔS) can be expressed as:
\[ \Delta S = nR \ln \left(\frac{V_2}{V_1}\right) \]
where:
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