A cylinder can hold 1 kg of hydrogen at room temperature and pressure. What mass of carbon dioxide it can hold under similar conditions of temperature and pressure ? If the number of molecules of hydrogen in the cylinder is x, calculate the number of carbon dioxide molecules in the cylinder. Give reasons for your answer.

Explanation

To solve the problem step by step, we will use the concepts of the mole, molar mass, and Avogadro's law.

### Step 1: Calculate the number of moles of hydrogen (H₂) in 1 kg.
1. The molar mass of hydrogen (H₂) is approximately 2 g/mol.
2. To find the number of moles (n) of hydrogen in 1 kg (1000 g), we use the formula:
\[ n = \frac{\text{mass}}{\text{molar mass}} = \frac{1000 \text{ g}}{2 \text{ g/mol}} = 500 \text{ moles} \]
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