`6 xx 10^(22)` molecules are present in 2.24 `dm^(3)` of chlorine at S.T.P. Calculate the volume of sulphur dioxide gas at S.T.P. which has `3 xx 10^(19)` molecules

Explanation

To solve the problem step by step, we will use the concept of Avogadro's law and the relationship between the number of molecules and the volume of gases at standard temperature and pressure (S.T.P).

### Step 1: Understand the relationship between moles, molecules, and volume
Avogadro's law states that one mole of any gas occupies a volume of 22.4 dm³ at S.T.P. Additionally, one mole contains approximately \(6.022 \times 10^{23}\) molecules (Avogadro's number).

### Step 2: Determine the volume occupied by the given number of molecules of chlorine
We know from the question that \(6 \times 10^{22}\) molecules of chlorine gas occupy a volume of 2.24 dm³. We can set up a proportion to find the volume occupied by one mole of chlorine gas.

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