A sample of nitrogen gas occupies a volume of `1.0 dm^(3)` at a pressure of `0.5` bar and at `40^(@)C`. Calculate the pressure the gas if compressed to `0.225 dm^(3)` at `-6^(@)C`.

Explanation

To solve the problem of calculating the pressure of nitrogen gas when it is compressed, we can use the ideal gas law, which states that:

\[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \]

Where:
- \(P_1\) = initial pressure
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