What weight of hydrogen at STP couble be contained in a vessel that hold 4.8 g of oxygen at STP

Options

A. 4.8 g
B. 3.0 g
C. 0.6 g
D. 0.3 g

Explanation

To solve the problem of finding the weight of hydrogen at STP that could be contained in a vessel holding 4.8 g of oxygen at STP, we can follow these steps:

### Step 1: Understand the relationship between gases at STP
At standard temperature and pressure (STP), equal volumes of gases contain an equal number of molecules. This is known as Avogadro's law. Therefore, the number of moles of hydrogen (H₂) will equal the number of moles of oxygen (O₂) in the same volume at STP.

### Step 2: Calculate the number of moles of oxygen
To find the number of moles of oxygen, we use the formula:
\[ \text{Number of moles} = \frac{\text{Weight}}{\text{Molar mass}} \]
The molar mass of O₂ (oxygen) is 32 g/mol. Given that the weight of oxygen is 4.8 g, we can calculate the moles of oxygen:
\[ \text{Number of moles of O₂} = \frac{4.8 \text{ g}}{32 \text{ g/mol}} = 0.15 \text{ moles} \]

### Step 3: Determine the number of moles of hydrogen
Since the number of moles of hydrogen will be equal to the number of moles of oxygen at STP:
\[ \text{Number of moles of H₂} = 0.15 \text{ moles} \]

### Step 4: Calculate the weight of hydrogen
Now, we need to find the weight of hydrogen. The molar mass of H₂ (hydrogen) is 2 g/mol. We can calculate the weight of hydrogen using the number of moles:
\[ \text{Weight of H₂} = \text{Number of moles} \times \text{Molar mass} = 0.15 \text{ moles} \times 2 \text{ g/mol} = 0.3 \text{ g} \]

### Final Answer
The weight of hydrogen that could be contained in the vessel is **0.3 g**.

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