Calculate the root mean square, average, and most proable speeds of `H_(2)` molecules. The density of the gas at `101.325 kPa` is `0.09 g dm^(-3) (0.09 kg m^(-3))`. Assume ideal behaviour.

Explanation

To calculate the root mean square speed, average speed, and most probable speed of \( H_2 \) molecules, we will use the following formulas:

1. **Root Mean Square Speed (\( U_{rms} \))**:
\[ U_{rms} = \sqrt{\frac{3RT}{M}} = \sqrt{\frac{3p}{d}} \]
where:
- \( R \) = universal gas constant = \( 8.314 \, \text{J/(mol·K)} \)
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