A gas cylinder contains `24 xx 10^(24)` molecules of nitrogen gas. If Avogadro's number is `6xx10^(23)` and the relative atomic mass of nitrogen is 14, calculate:
Volume of nitrogen at STP in dm.

Explanation

To solve the problem, we need to calculate the volume of nitrogen gas at STP (Standard Temperature and Pressure) based on the number of molecules provided. Here’s how we can do it step by step:

### Step 1: Understand the relationship between molecules and volume
At STP, 1 mole of any gas occupies a volume of 22.4 dm³ (or liters). Avogadro's number, which is approximately \(6 \times 10^{23}\), represents the number of molecules in one mole of a substance.

### Step 2: Calculate the number of moles of nitrogen gas
We have \(24 \times 10^{24}\) molecules of nitrogen gas. To find the number of moles, we can use the formula:

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