A gas container of `1.5 dm^(3)` capacity contains `3.011 × 10^(23)` molecules of `H_(2)` gas at 101.325kPa. Calculate mean (or average) square speed of gaseous molecules.

Explanation

To calculate the mean (or average) square speed of gaseous molecules in the given problem, we can follow these steps:

### Step 1: Calculate the number of moles of H₂ gas
We can use Avogadro's number to find the number of moles from the number of molecules.

\[ \text{Number of moles} (n) = \frac{\text{Number of molecules}}{\text{Avogadro's number}} = \frac{3.011 \times 10^{23}}{6.022 \times 10^{23}} = 0.5 \text{ moles} \]
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