What is the minimum pressure required to compress `460 dm^2` of air at 2 bar to `230 dm^3 at 30^@ C ` ?

Explanation

To solve the problem of finding the minimum pressure required to compress `460 dm^3` of air at `2 bar` to `230 dm^3` at `30°C`, we can use the ideal gas law, which states that for a given amount of gas at constant temperature, the product of pressure and volume is constant.

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Initial volume, \( V_1 = 460 \, \text{dm}^3 \)
- Initial pressure, \( P_1 = 2 \, \text{bar} \)
- Final volume, \( V_2 = 230 \, \text{dm}^3 \)
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