A bulb contains `1.6 g` of `O_(2)` contains.

Options

A. 0.05 mol of `O_(2)`
B. `3.011 xx 10^(22)` molecules of `O_(2)`
C. `1.12 L` of `O_(2)` at `STP`
D. `1.22 L` of `O_(2)` at `STP`

Explanation

To solve the problem of determining the properties of 1.6 g of \( O_2 \) in a bulb, we will follow these steps:

### Step 1: Calculate the number of moles of \( O_2 \)

To find the number of moles, we use the formula:

\[ \text{Number of moles} = \frac{\text{Given mass}}{\text{Molar mass}} \]

Given mass of \( O_2 = 1.6 \, g \)

The molar mass of \( O_2 \) (oxygen) is \( 32 \, g/mol \) (since the atomic mass of oxygen is approximately \( 16 \, g/mol \) and there are two oxygen atoms in \( O_2 \)).

Now, substituting the values:

\[ \text{Number of moles} = \frac{1.6 \, g}{32 \, g/mol} = 0.05 \, mol \]

### Step 2: Calculate the number of molecules of \( O_2 \)

To find the number of molecules, we use Avogadro's number (\( N_A \)), which is approximately \( 6.022 \times 10^{23} \, molecules/mol \).

Using the formula:

\[ \text{Number of molecules} = \text{Number of moles} \times N_A \]

Substituting the values:

\[ \text{Number of molecules} = 0.05 \, mol \times 6.022 \times 10^{23} \, molecules/mol = 3.011 \times 10^{22} \, molecules \]

### Step 3: Calculate the volume of \( O_2 \) at STP

At Standard Temperature and Pressure (STP), 1 mole of any gas occupies \( 22.4 \, L \).

Using the formula:

\[ \text{Volume at STP} = \text{Number of moles} \times 22.4 \, L/mol \]

Substituting the values:

\[ \text{Volume at STP} = 0.05 \, mol \times 22.4 \, L/mol = 1.12 \, L \]

### Step 4: Calculate the volume of \( O_2 \) at SATP

At Standard Ambient Temperature and Pressure (SATP), 1 mole of any gas occupies \( 24.4 \, L \).

Using the formula:

\[ \text{Volume at SATP} = \text{Number of moles} \times 24.4 \, L/mol \]

Substituting the values:

\[ \text{Volume at SATP} = 0.05 \, mol \times 24.4 \, L/mol = 1.22 \, L \]

### Summary of Results

- Moles of \( O_2 \): \( 0.05 \, mol \)
- Molecules of \( O_2 \): \( 3.011 \times 10^{22} \, molecules \)
- Volume of \( O_2 \) at STP: \( 1.12 \, L \)
- Volume of \( O_2 \) at SATP: \( 1.22 \, L \)