The number of moles of `H_(2)` in 0.224 L of hydrogen gas a STP (273 K, 1 atm) assuming ideal gas behaviour is

Options

A. 1
B. 0.1
C. 0.01
D. 0.001

Explanation

To find the number of moles of hydrogen gas (H₂) in 0.224 L at standard temperature and pressure (STP), we can use the ideal gas law concept that states one mole of any ideal gas occupies 22.4 L at STP.

Here’s a step-by-step solution:

### Step 1: Understand the volume occupied by one mole of gas at STP
At STP (273 K and 1 atm), one mole of an ideal gas occupies a volume of 22.4 L.

### Step 2: Set up the relationship
We need to find the number of moles (n) in a given volume (V) of gas. The formula to find the number of moles is:
\[ n = \frac{V}{V_m} \]
where \( V_m \) is the molar volume of the gas at STP (22.4 L).

### Step 3: Substitute the values into the formula
Here, the volume \( V \) is 0.224 L. Therefore:
\[ n = \frac{0.224 \, \text{L}}{22.4 \, \text{L/mol}} \]

### Step 4: Calculate the number of moles
Now, perform the division:
\[ n = \frac{0.224}{22.4} = 0.01 \, \text{moles} \]

### Conclusion
The number of moles of hydrogen gas in 0.224 L at STP is **0.01 moles**.

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