A gas cylinder contains `24 xx 10^(24)` molecules of nitrogen gas. If Avogadro's number is `6 xx 10^(23)` and the relative atomic mass of nitrogen is 14, calculate :
Volume of nitrogen at S.T.P. in `dm^(3)`.

Explanation

To solve the problem of calculating the volume of nitrogen gas at Standard Temperature and Pressure (STP) given the number of molecules, we can follow these steps:

### Step 1: Calculate the number of moles of nitrogen gas
We know that Avogadro's number is \(6 \times 10^{23}\) molecules per mole. We can use this to find the number of moles of nitrogen gas in the cylinder.

\[ \text{Number of moles} = \frac{\text{Number of molecules}}{\text{Avogadro's number}} = \frac{24 \times 10^{24}}{6 \times 10^{23}} \]
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